NCERT Solutions for Class 12 History Chapter 1 Bricks, Beads and Bones The Harappan Civilisation

NCERT Solutions for Class 12 History Chapter 1 Bricks, Beads and Bones The Harappan Civilisation are part of NCERT Solutions for Class 12 History. Here we have given NCERT Solutions for Class 12 History Chapter 1 Bricks, Beads and Bones The Harappan Civilisation.

Board CBSE
Textbook NCERT
Class Class 12
Subject History
Chapter Chapter 1
Chapter Name Bricks, Beads and Bones The Harappan Civilisation
Number of Questions Solved 9
Category NCERT Solutions

NCERT Solutions for Class 12 History Chapter 1 Bricks, Beads and Bones The Harappan Civilisation

Question 1.
List the items of food available to people in Harappan cities. Identify the groups who would have provided these.
Solution :
(a) The following items of food were available to people in Harappan cities : Wheat, barley, lentil, chickpea, sesame, millets, rice, fish, and goat.
(b)

  • Animals such as cattle, sheep, buffalo and pig were domesticated. So, they could get meat from these animals.
  • The evidence of a ploughed field at Kalibangan and knowledge of bull prove that harvesting was done by the Harappans.
  • Regarding hunting of wild animals such as boar, deer and gharial, there is no proof whether the Harappans hunted these animals themselves or obtained meat from other hunting communities.

Question 2.
How do archaeologists trace socio-economic differences in Harappan society? What are the differences that they notice?
Solution:
Following examples can be cited to show the existence of social and economic variations : in the Harappan society:
(i) Study of burials is one example. In the Harappan sites, the deads were usually laid in pits. There were differences in the Way burial pits were made. At some instances, the hollowed-out spaces were lined with bricks. But these may not be taken as an indication of social differences.
(ii) In some graves pottery and ornaments have been found. Jewellery has been found from the graves of men and women as well. These findings can point out social and economic differences. ‘
(iii) The artefacts have been classified into two categories, Utilitarian and Luxurious. Objects of daily uses and objects made of ordinary materials made of clay or stone come under utilitarian category. Ordinary articles consisted of querns, pottery, flesh-rubbers and needles. These have been found distributed throughout settlements.
(iv) Objects of luxuries were rare and made from precious, non-local materials. The technology used was advanced and complicated. Little pots of faience were considered precious. They were also not easy to make. These show the existence of social and economic variations in the Harappan society.

Question 3.
Would you agree that the drainage system in Harappan cities indicates town planning? Give reasons for your answer.
Solution :
The drainage system in Harappan cities indicates town planning as is clear from the following reasons :

  • It was planned drainage system. In the Lower Town, the roads and streets were laid out along an approximate “grid” pattern, intersecting at right angles.
  • It seems from the plan of the Lower Town that streets with drains were laid out first and then houses built along them.
  • The drains of every house were connected to the street drains. Very long drainage channels were provided at intervals with sumps for cleaning. Drainage system has been found in smaller settlements like Lothal.

Question 4.
List the materials used to make beads in the Harappan civilisation. Describe the process by which any one kind of bead was made.
Solution :
(a) The materials used to make beads in the Harappan civilisation were as given below:

  • Stones like carnelian of a beautiful red colour, jasper, crystal, quartz, and steatite;
  • Metals like copper, bronze, and gold;
  • Shell, faience, and terracotta or burnt clay.

(b)

  • The process or technique for making beads differed according to the material.
    For example, steatite, a very soft stone, was easily worked. Some beads were moulded out of a paste made with steatite powder. This permitted making a variety of shapes, unlike the geometrical form that were made out of harder stones.
  • Red colour of carnelian was obtained by firing the yellowish raw material and beads at various stages of production.
  • Nodules were chipped into rough shapes, and then finely flaked into the final form.
  • Grinding, polishing, and drilling completed the process.

Question 5.
Look at figure and describe what you see. How is the body placed? What are the objects placed near it? Are there any artefacts on the body? Do these indicate the sex of the skeleton?
Solution :
(a) A dead body has been laid in a pit.
(b) Some objects of pottery are placed near it.
(c) There seems to be some ornaments on body but these do not indicate the sex of the skeleton because jewellery has been found in burials of both men and women.
NCERT Solutions for Class 12 History Chapter 1 Bricks, Beads and Bones The Harappan Civilisation 1
Question 6.
Describe some of the distinctive features of Mohenj odaro.

Or

Describe the features that justify that Mohenjodaro was a planned urban cetnre.
Solution :
Some of the distinctive features of Mohenjodaro were as given below :

  1. Mohenjodaro is the most well known site. It was divided into two sections – one smaller but higher and the other much larger but lower. These are known as the Citadel and the Lower Town, respectively. Both the sections were walled.
  2. Several buildings were built on platforms which implies that the building activity was restricted on the platforms. It seems that the settlement was first planned and then implemented accordingly.
  3. The standardised ratio of bricks – sundried or baked – is also a sign of planning. The length and breadth of bricks were four times and twice the height, respectively.
  4. There was well-planned drainage system. The roads and streets were laid out along an approximate “grid” pattern, intersecting at right angles. It appears that streets with drains were laid down first and then houses built along them.
  5. Residential buildings were centered on a courtyard, with rooms on all sides. There were no windows in the walls along the ground level to have privacy. The main entrance too did not give a direct view of the courtyard.
  6. There was a bathroom in everyhouse. The drains were connected to the street drains.
  7. Some houses had staircases to reach a second story or the roof.

Question 7.
List the raw materials required for craft production in the Harappan civilisation and discuss how these might have been obtained.
Solution :

Following is the list of materials required for craft production in the Harappan Civilisation:
Stone, clay, copper, tin, bronze, gold, faience, shell, camelian, jasper, crystal, steatite, quartz, timber.
Some of the raw materials were locally available whereas some were purchased from the distant places. Soil and wood were locally available raw materials. Stones, fine quality wood, metals were procured from distant places.
Settlements of the Harappans were situated at such places where raw materials were easily available. Nageshwar and Balacot were famous for shell. Some places were famous for Lapis Lazuli like Shortughai in Afghanistan. Rajasthan and Gujarat were famous for copper. Lothal was famous for camelian.

Another way of obtaining raw material was sending expeditions to different places.
Evidences show that expedition was sent to Khetri region of Rajasthan for copper and to South India for Gold. Through these expeditions local communities were contacted. Harappan evidences found at these places indicate contacts between each other. Evidences found at Khetri region were given the name of Ganeshwar Jodhpura Culture by archaeologists. Huge reserves of copper products were found here. It is assumed that inhabitants of these area sent copper to Harappan people.

Question 8.
Discuss how archaeologists reconstruct the past.
Solution :
It is the material evidence by which the archaeologists reconstruct the past. This material could be pottery, tools, ornaments and household objects. It is done in the following ways:

  1. Classifying finds : The archaeologists classify their finds in terms of material, such as stone, clay, metal, bone, ivory, etc. and in terms of function i.e., an artefact is a tool or an ornament or both or something meant for ritual use.
  2. The archaeologists try to reconstruct religious practices because certain objects which seemed unusual or unfamiliar may have had a religious significance. For example, terracotta figurines of women, heavily jewelled, some with elaborate head dresses were regarded as mother goddesses.
  3. Religious beliefs and practices are reconstructed by examining seals, depicting ritual scenes, animals (one, horned animal) cross-legged yogic figure.
  4. Many reconstructions are made on the assumption that later traditions provide parallels with earlier ones because archaeologists move from present to the past. The example is ‘proto-Shiva’ seal which can be compared with Rudra mentioned in Rigveda.

Question 9.
Discuss the functions that may have been performed by rulers in Harappan society.
Solution :
The functions that may have been performed by rulers in Harappan society whereas mentioned below –

  1. There are indications of complex decisions being taken and implemented in Harappan society. For example, the extraordinary uniformity of Harappan artefacts as evident in seals, pottery, weights and bricks would have due the authority of the rulers. A large building has been found in Mohenjodaro. It might be a palace for the rulers. A stone statute has been labelled as ‘priest-king’. Thus, he may be a ruler who exercised authority for taking various decisions.
  2. Whether the ritual practices were performed by the ‘priest-king’ is not clear because these practices of Harappan civilisation are not well understood yet nor are there any means of knowing whether those who performed them also held political power.

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NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State

NCERT Solutions Class 12 Chemistry Chapter 1 contains the solved questions and answers provided in the textbook. The answers are provided by subject experts and hence the students can refer to these solutions for better preparations. The explanations are provided in an easy language which the students find easy to understand. The diagrammatic representations make the explanations even clearer.

The NCERT Solutions for Class 12 Chemistry Chapter 1 not only helps the students prepare for their board exams, but also prepares them for competitive exams. The solutions strengthen the conceptual knowledge of the students that clarifies even the minute doubts.

Board CBSE
Textbook NCERT
Class Class 12
Subject Chemistry
Chapter Chapter 1
Chapter Name The Solid State
Number of Questions Solved 50
Category NCERT Solutions

NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State

“The Solid State” is an important chapter in Chemistry from the examination perspective. We are surrounded by different states of matter. Most of the matter around us is in solid state. The NCERT Solutions for Class 12 Chemistry Chapter 1 explain the structure, classification and properties of solids. The explanation of the structure of solids states the correlation between the structure and properties of solids.

NCERT IN-TEXT QUESTIONS

Question 1.
Why are solids rigid?
Answer:
Solids are rigid because the constituent particles are very closely packed. They don’t have any translatory movement
and can only oscillate about their mean positions.

Question 2.
Why do solids have a definite volume?
Answer:
The constituent particles of a solid have fixed positions and are not free to move about, i.e., they possess rigidity. That is why they have definite volume.

Question 3.
Classify the following as amorphous and crystalline solids; polyurethane, naphthalene, benzoic acid, Teflon,
potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.
Answer:
Amorphous solids: Polyurethane, naphthalene, Teflon, cellophane, polyvinyl chloride, fiberglass. Crystalline solids: Benzoic acid, potassium nitrate, copper.

Question 4.
Why is glass considered a supercooled liquid?
Answer:
Glass is an amorphous solid. Like liquids, it has a tendency to flow, though very slowly. This can be seen from the glass panes of windows or doors of very old buildings which are thicker at the bottom than at the top. Therefore, glass is considered as a supercooled liquid.

Question 5.
The Refractive index of a solid is observed to have the same value along with all the directions. Comment on the nature of the solid. Would it show cleavage property?
Answer:
As the solid has the same refractive index along with all the directions, it is isotropic in nature and is, therefore, an amorphous solid. It is not expected to show a clean cleavage when cut with a special type of knife. It will break into pieces with irregular surfaces.

Question 6.
Classify .the following solids in different categories based on the nature of intermolecular forces operating in them: Potassium sulphate, tin, benzene, urea, ammonia, water, zinc sulphide, graphite, rubidium, argon, silicon carbide
Answer:
Potassium sulphate = Ionic Tin=Metallic.
Benzene = Molecular (non-polar)
Urea=Molecular (polar).
Ammonia=Molecular (H-bonded)
Water = Molecular (H-bonded)
Zinc sulphide = Ionic Graphite=Covalent Rubidipm Metallic Argon = Molecular (non-polar)
Silicon Carbide=Covalent

Question 7.
A solid substance ‘A’ is a very hard and electrical insulator both in the solid-state as well as in the molten state. It has also the very high melting point. Is the solid metal like silver or network solid like silicon carbide (SiC)?
Answer:
Since the solid behaves as an insulator even in the molten state, it cannot be metal like silver. Therefore, it is a covalent or network solid like SiC.

Question 8.
Ionic solids conduct electricity in molten state but not in solid state. Explain
Answer:
In a solid-state, the ions cannot move, they are held by strong electrostatic forces of attraction. So, ionic solids do not conduct electricity in the solid state. However, in the molten state, they dissociate to give tree ions and hence conduct electricity.

Question 9.
What types of solids are electrical conductors, malleable and ductile? (C.B.S.E. Outside Delhi 2013)
Answer:
Metallic solids exhibit these characteristics. Their atoms are linked to one another by metallic bonds.

Question 10.
Give the significance of a ‘lattice point’.
Answer:
Each lattice point represents one constituent particle of the solid. This constituent particle may be an atom, a molecule or an ion.

Question 11.
Name the parameters which characterize a unit cell.
Answer:
A unit cell is characterized by two types of parameters. These are edges (a, b, c) which may or may not be mutually perpendicular, and angles between the edges (α, β, and γ).
(i) Edges or edge lengths. The edges a, b and c represent the dimensions of the unit cell in space along the three axes. The edges may or may not be mutually perpendicular.
(ii) Angles between the edges. There are three angles between the edges. These are denoted as α (between b and c), β (between a and c), and γ (between a and b). Thus, a unit cell may be characterized by six parameters as shown in Fig. 1.12. The various types of crystal systems differ with respect to edge lengths as well as angles between the edges.
NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State 1

Question 12.
Distinguish between
(i) Hexagonal and monoclinic unit cells
(ii) Face-centred and end-centered unit cells.

Answer:
(i)

Hexagonal unit cell Monoclinic unit cell
a=b≠c a≠b≠c
α = β = 90° α = γ = 90°
γ = 120° β ≠ 90°

(ii)

Face-centred unit cell End-centred unit cell
A Face-centred unit cell the constituent particles are present at the corners and one at the centre of each face. An End-centred unit cell contains particles at the corners and one at the centre of any two opposite faces.
Total no of particles in a face centered unit cell= 4 Total no. of particles in an end centered unit cell = 2

Question 13.
Explain how many portions of an atom located at the
(i) corner and
(ii) body centre of a cubic unit cell is a part of the neighbouring unit cell.
Answer:
(i) An atom located at the corner is shared by eight unit cells. Therefore, its contribution to a particular unit cell is 1/8.
(ii) An atom located at the body of the unit cell is not shared by any unit cell. It belongs to one particular unit cell only.

Question 14.
What is the two-dimensional coordination number of a molecule in a square close-packed layer?
Answer:
In 2D, square close-packed layer, an atom touches 4 nearest neighbouring atoms. Hence, its CN=4

Question 15.
A compound forms a hexagonal close-packed structure. What is the total number of voids in 0.5 mol of it? How many of these are tetrahedral voids?
Answer:
No. of atoms in 0.5 mole of the compound = 0.5 x N0 = 0.5 x 6.022 x 1023 = 3.011 x 1023
No. of octahedral voids = No. of atoms = 3.011 x 1023
No. of tetrahedral voids = 2 x 3.011 x 1023 = 6.022 x 1023
Total no. of voids = (3.011 + 6.022) x 10223 = 9.033 x 1023

Question 16.
A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy l/3rd of tetrahedral voids. What is the formula of the compound?
Answer:
Atoms of N from ccp, therefore, if the lattice points are n, then
No.of atoms of N = n
No. of oct voids = n
No. of td voids = 2n= 2 x 1n/3 = 2n/3
∴ Formula of the compound is: M : N
2/3 n : n
2n: 3n
2: 3
i.e., M2N3

Question 17.
Which of the following lattices has the highest packing efficiency :
(i) simple cubic
(ii) body-centered cubic and
(iii) hexagonal close-packed lattice?
Answer:
The packing efficiency of the different types of arrangement is :
(i) Simple cubic = 52.4%
(ii) Body-centred cubic = 68%
(iii) Hexagonal close-packed = 74%
his means that hexagonal close-packed arrangement has the maximum packing efficiency (74%).

Question 18.
An element with a molar mass 2.7 x 10-2 kg  mol-1 forms a cubic unit cell with an edge length of 405 pm. If its density is 2.7 x 103 kg m-3, what is the nature of the cubic unit cell?
Answer:
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 2

Question 19.
What type of defect can arise when a solid is heated? Which physical property is affected by it and in what
way?
Answer:
When a solid is heated, some atoms or ions may leave the crystal lattice. As a result, vacancies are created and this leads to vacancy defects in the crystalline solid. Since the number of atoms/ions per unit volume decreases, the vacancy defects lead to a decrease in the density.

Question 20.
What type of stoichiometric defect is shown by:
(i) ZnS
(ii) AgBr
Answer:
(i) ZnS shows Frenkel defect
(ii) AgBr shows Frenkel as well as Schottky defect.

Question 21.
Explain how vacancies are introduced in the ionic solid when a cation of higher valence is added as an impurity to it.
Answer:
Let us consider an ionic solid sodium chloride (Na+Cl) to which a small amount of strontium chloride (SrCl2) has been added to act as an impurity. Since the crystal as a whole is to remain electrically neutral, two Na+ ions have to leave their sites to create two vacancies. Out of these, one will be occupied by Sr2+ ion while the other will be vacant. Thus, vacancies will be created in the ionic solid. When a cation of higher valency is added as an impurity in the ionic solid, some of the sites of the original cations are occupied by the cations of higher valency. Each cation of higher valency replaces two or more original cations and occupies the site of one original cation and the other site(s) remains vacant.

Question 22.
Ionic solids which have anionic vacancies due to metal excess defect, develop colour. Explain with the help of a suitable example.
Answer:
Let us illustrate by sodium chloride (Na+Cl) crystals. Upon heating in the atmosphere of sodium (Na) vapours, sodium atoms get deposited on the surface of the crystals. The Cl ions from the crystal lattice leave their sites and diffuse into the surface. They tend to combine with sodium atoms present in the vapours which in turn get ionised to form Na+ ions by releasing electrons. The latter is trapped by the anionic vacancies created by Clions in order to maintain the crystals electrically neutral. Now, the electrons absorb radiations corresponding to a certain colour from white light and start vibrating. They emit radiations corresponding to yellow colour. That is how the crystals of sodium chloride develop yellow colour. These electrons are called F-centres because these are responsible for colours (In German, F = Farbe meaning colour).

Question 23.
A group 14 element is to be converted into an n-type semiconductor by doping it with a suitable impurity. To which group should the impurity element belong?
Answer:
n-type semiconductors are conducting due to the presence of excess negatively charged electrons. In order to convert group 14 elements (e.g. Si, Ge) into n-type semi-conductors, doping is done with some elements of group 15 (e.g. P, As)

Question 24.
What type of substances would make better permanent magnets; ferromagnetic or ferrimagnetic? Justify your answer. (C.B.S.E. Outside Delhi 2013)
Answer:
Ferromagnetic substances make better permanent magnets than ferrimagnetic substances. The metal ions of a ferromagnetic substance are grouped into small regions known as domains and these are randomly oriented. Under the influence of the applied magnetic field, all domains are oriented in the direction of the magnetic field and as a result, a strong magnetic field is produced. The ferromagnetic substance behaves as a magnet. This characteristic of the domains persists even when the external magnetic field is removed. This imparts permanent magnetic character to these substances. However, this property is lacking in ferrimagnetic substances. Therefore ferromagnetic substances are better magnets.

NCERT EXERCISE

Question 1.
Define the term ‘amorphous’. Give a few examples of amorphous solids.
Answer:
Amorphous solids are those solids in which the constituent particles may have short-range order but do not have a long-range order. They have irregular shapes and are isotropic in nature. They do not undergo a clean cleavage. They do not have sharp melting points or definite heat of fusion. E.g.: Glass, rubber, and plastics.

Question 2.
What makes a glass different from a solid such as quartz? Under what conditions could quartz be converted into glass?
Answer:
Glass is made up of Si04 tetrahedral units. These constituent particles have short-range order only. Quartz is also made up of Si04 tetrahedral units. On heating it softens and melts over a wide range of temperature. It is a crystalline solid having long-range ordered structure. It has a sharp melting point. Quartz can be converted into glass by first melting and then rapidly cooling it.

Question 3.
Classify each of the following solids as ionic, metallic, molecular, network (covalent), or amorphous:
(a) Tetra phosphorus decoxide (P4O10)
(b) Graphite
(c) Brass
(d) Ammonium phosphate (NH4)3PO4
(e) SiC
(f) Rb
(g)l2
(h) LiBr
(i) P4
(j) Si
(k) Plastic.
Answer:
(a) Molecular solid
(b) Covalent (Net-work) solid
(c) Metallic solid
(d) Ionic solid
(e) Covalent solid (Network)
(f) Metallic solid
(g) Molecular solid
(h) lonic solid
(i) Molecular solid
(j) Covalent solid
(k) Amorphous solid.

Question 4.
(a) What is meant by the term coordination number?
(b) What is the coordination number of atoms
(i) in a cubic close-packed structure
(ii) in a body-centered cubic structure?
Answer:
(i) The number of nearest neighbours of a particle in its close packing is called its coordination number.
(ii) (a) 12, (b) 8.

Question 5.
How can you determine the atomic mass of an unknown metal if you know its density and the dimensions of its unit cell? Explain.
Answer:
Let the edge length of a unit cell = a
Density = d
Molar mass = M
The volume of the unit cell = a3
Mass of the unit cell = No. of atoms in unit cell x Mass of each atom = Z × m
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 3

Question 6.
(a) Stability of a crystal is reflected in the magnitude of the melting point. Comment.
(b) Collect the melting point of

  • Ice
  • ethyl alcohol
  • diethyl ether
  • methane from a data book. What can you say about intermolecular forces between the molecules?

Answer:
(a) Higher the melting point, greater are tire “forces holding the constituent particles together and hence greater is the stability.

(b) The intermolecular forces in water and ethyl alcohol are mainly hydrogen bonding. The higher melting point of water than alcohol shows that hydrogen bonding in ethyl alcohol molecules is not as strong as in water molecules. Diethyl ether is a polar molecule. The intermolecular forces present in them are the dipole-dipole attraction. Methane is a non-polar molecule. The only forces present in them are the weak Vander Waal’s forces (London / dispersion forces).

Question 7.
How will you distinguish between the following pairs of terms:
(i) Cubic close packing and hexagonal close packing?
(ii) Crystal lattice and unit cell?
(iii) Tetrahedral void and octahedral void?
Answer:
(i) Cubic close packing: When the third layer is placed over the second layer in such a way that the spheres cover the octahedral voids, a layer different from first (A) and second (B) is produced. If we continue packing in this manner, then packing is obtained where the spheres in every fourth layer will vertically aligned. This pattern of packing spheres is called the ABCABC pattern or cubic close packing.

Hexagonal close-packing: When a third layer is placed over the second layer in such a manner that the spheres cover the tetrahedral void, a three-dimensional close packing is obtained where the spheres in every third or alternate layer are vertically aligned. If we continue packing in this manner, then the packing obtained would be called ABAB pattern or hexagonal close packing.

(ii) Crystal lattice: It is a regular arrangement of the constituent particles (i?.e., ions, atoms or molecules) of a crystal in three-dimensional space.
Unit cell: The smallest three-dimensional portion of a complete space lattice which when repeated over and over again in different directions produces the complete crystal lattice is called the unit cell.

(iii) Tetrahedral void: A simple) the triangular void is a crystal is surrounded by four spheres and is called a tetrahedral void.
Octahedral void: A double triangular void is surrounded by six spheres and is called an octahedral void.

Question 8.
How many lattice points are there in one unit cell of each of the following lattices
(a) face-centered-cubic
(b) face centred tetragonal
(c) body-centered cubic?
Answer:
(i) In the face-centered cubic arrangement, a number of lattice points are = 8 (at comers) + 6 (at face centres)
Lattice points per unit cell = 8 × \(\frac { 1 }{ 8 } \) + 6 × \(\frac { 1 }{ 2 } \) = 4.

(ii) In face centred tetragonal, number of lattice points are = 8 (at comers) + 6 (at face centres)
Lattice points per unit cell = 8 × \(\frac { 1 }{ 8 } \) + 6 × \(\frac { 1 }{ 2 } \) = 4

(iii) In body centred cubic arrangement, number of lattice points are = 8 (at comers) + 1 (at body centres)
Lattice points per unit cell = 8 × \(\frac { 1 }{ 8 } \) + 1 = 2

Question 9.
Explain:
(i) The basis of similarities and differences between metallic and ionic crystals.
(ii) Ionic solids are hard and brittle.
Answer:
(i) Basis of similarities. The basis of similarities between the metallic and ionic crystals are the presence of strong electrostatic forces of attraction. These are present among the ions in the ionic crystals and among the kernels and
valence electrons in the metallic crystals. That is why both metals and ionic compounds are good conductors of electricity and have high melting points.
Basis of differences. The basis of differences in the absence of mobility of ions in the ionic crystals while the same is present in the valence electrons and kernels in the case of metallic crystals. As a consequence, the ionic compounds conduct electricity only in the molten state while the metals can do so even in the solid-state.
(ii) The ionic solids are hard and brittle because of strong electrostatic forces of attraction which are present in the oppositely charged ions.
The ionic solids are hard because of the presence of strong inter-ionic forces of attraction in the oppositely charged ions. These ions are arranged in three-dimensional space. The ionic solids are brittle because the ionic bond
is non-directional.

Question 10.
Calculate the efficiency of packing in the case of metal crystal for:
(i) Simple cubic
(ii) Body centered cubic
(iii) Face centered cubic (with the assumption that the atoms are touching each other). (C.B.S.E. Outside Delhi 2011) Answer:
(i) Simple cubic: We know that in a simple cubic unit cell, there is one atom (or one sphere) per unit cell. If r is the radius of the sphere, the volume occupied by one sphere present in the unit cell = 4/3πr3.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 4
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 5
(ii) Body-centred cubic: We know that a body-centered cubic unit cell has 2 spheres (atoms) per unit cell. If r is the radius of the sphere Volume of one sphere = 4/3πrsup>3
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 6
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 7
(iii) Face centred cubic: We know that a face centered cubic unit cell (fcc) contains four spheres (or atoms) per unit cell.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 8
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 9

Question 11.
Silver crystallizes in a face centered cubic lattice with all the atoms at the lattice points. The length of the edge of
the unit cell as determined by X-ray diffraction studies is found to be 4.077 x 10-8 cm. The density of silver is 10.5 g cm-3. Calculate the atomic mass of silver. (C.B.S.E. Sample Paper 2012)(Uttarakhand Board 2015)
Answer:
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 10

Question 12.
A cubic solid is made up of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body centre. What is the formula of the compound? What are the coordination numbers of P and Q?
Answer:
As atom Q are present at the 8 comers of the cube, therefore, number of atoms of Q in the unit cell = 8 × \(\frac { 1 }{ 8 } \) = 1.
As atoms P are present at the body centre, therefore a number of atoms P in the unit cell = 1.
∴ The formula of the compound = PQ
Co-ordination number of each P and Q = 8.

Question 13.
Niobium crystallizes in a body-centered cubic structure. If the density is 8.55 g cm-1, calculate the atomic radius of niobium given that the atomic mass of niobium is 93 g mol-1. (C.B.S.E. Delhi 2008)
Answer:
Step I. Calculation of edge length of unit cell.
No. of particles in b.c.c. type unit cell (Z) = 2
Atomic mass of the element (M) = 93 g mol-1
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 111
Step II. Calculation of radius of unit cell
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 12

Question 14.
If the radius of octahedral void is r and the radius of the atom in close packing is R, derive the relation between r and R. (C.B.S.E. Sample Paper 2017)
Answer:
Let length of each side of the square is a and the radii of the void and the sphere are r and R respectively. Consider the right angled triangle ABC.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 13
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 14
∴ Radius of octahedral void is 0.414R(or 41.4% as compared to that of the sphere).

Question 15.
Copper crystallises into a foc lattice with edge length 3•61 x 10-8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm. (C.B.S.E. Delhi 2009 Comptt.)
Answer:
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 15
The calculated value of the density is nearly the same as the measured value.

Question 16.
Analysis shows that nickel oxide has formula Nin.os 01.00. What fraction of nickel exists as Ni2+ and as Ni3+ ions ?
Answer:
The ratio of Ni and O atoms in pure nickel oxide (NiO) = 1:1
Let x be the no. of Ni (II) atoms replaced by Ni (III) atoms in the oxide.
∴ No. of Ni (II) atoms present = (0.98 – x)
Since the oxide is neutral in nature,
Charge on Ni atoms = Charge on oxygen atoms
2(0.98 – x) + 3x = 2
1.96 – 2x + 3x = 2
x = 2 – 1.96 = 0.04
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 16
% of Ni (II) atoms in nickel oxide = 100 – 4:01 = 95.99%

Question 17.
What is a semiconductor? Describe the two main types of semiconductors and contrast their conduction mechanism.
Answer:
Those solids which have intermediate conductivities ranging from 10-6 to 104 ohm-1 m-1 are classified as semiconductors. As the temperature rises, there is a rise in conductivity value because electrons from the valence band jump to the conduction band.

(i) n-type semiconductor: When a silicon or germanium crystal is doped with group 15 elements like P or As, the dopant atom forms four covalent bonds like Si or Ge atom but the fifth electron, not used in bonding, becomes delocalized and continues its share towards electrical conduction. Thus silicon or germanium doped with P or As is called an H-type semiconductor, a-indicative of negative since it is the electron that conducts electricity.

(ii) p-type semiconductor: When silicon or germanium is doped with group 13 elements like B or Al, the dopant is present only with three valence electrons. An electron vacancy or a hole is created at the place of the missing fourth electron. Here, this hole moves throughout the crystal-like a positive charge giving rise to electrical conductivity. Thus Si or Ge doped with B or Al is called p-tvpe semiconductor, p stands for the positive hole since it is the positive hole that is responsible for conduction.
NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State image - 1
Question 18.
Non-stoichiometric cuprous oxide (Cu2O) can be prepared in the laboratory. In this oxide, the copper to oxygen ratio is slightly less than 2:1. Can you account for the fact that this substance is a p-type semiconductor?
Answer:
The ratio less than 2: 1 in Cu2O shows that some cuprous (Cu+) ions have been replaced by cupric (Cu2+) ions. To maintain electrical neutrality, every two Cu+ ions will be replaced by one Cu2+ ion thereby creating a hole. As conduction will be due to the presence of this positive hole, hence it is a p-type semiconductor.

Question 19.
Ferric oxide crystallizes in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of ferric oxide.
Answer:
There is one octahedral hole for each atom in the hexagonal close-packed arrangement.
If the number of oxide ions (O2-) per unit cell is 1, then the number of Fe3+ ions = 2/3 x octahedral holes = 2/3 x 1 = 2/3.
Thus, the formula of the compound = Fe2/3O1, or Fe2O3.

Question 20.
Classify each of the following as being either a p-type or an n-type semiconductor.
(i) Ge doped with In
(ii) B doped with Si.
Answer:
(i) Ge belongs to group 14 and In belongs to group 13, therefore an electron-deficient hole is created and hence it is an n-type semiconductor.
(ii) B belongs to group 13 and Si belongs to group 14, therefore there will be a free electron and hence it is an n-type semiconductor.

Question 21.
Gold (atomic radius = 0.144 nm) crystallizes in a face-centered unit cell. What is the length of a side of the cell?
Answer:
For fee lattice, edge length,
a = 2 √2 x 0.144 nm = 0.407 nm

Question 22.
In terms of Band Theory, what is the difference
(i) between a conductor and an insulator
(ii) between a conductor and semi-conductor?
Answer:
The variation in the electrical conductivity of the solids can be explained with the help of the band theory.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 17
(i) In insulators, the energy gaps are very large and the no electron jump is feasible from the valence band to the conduction band. The energy gaps also called forbidden zones. The insulators, therefore, do not conduct electricity.
(ii) In semi-conductors, there is a small energy gap between the valence band and conduction band. However, some electrons may jump to the conduction band and these semiconductors can exhibit a little electrical conductivity.

Question 23.
Explain the following terms with suitable examples.
(i) Schottky defect,
(ii) Frenkel defect,
(iii) Interstitials,
(iv) F-centres.
Answer:
(i) Schottky defect: This rises because certain ions are missing from the crystal lattice and vacancies or holes are created at their respective positions. Since a crystal is electrically neutral, the number of such missing cations (A+) and anions (B) must be the same. e.g., KCl, NaCl, KBr, etc.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 18
(ii) Frenkel defect:
It results when certain ions leave their normal sites and occupy positions elsewhere in the crystal lattice. Holes are created at their respective positions. Since cations are smaller in size as compared to anions normally these are involved in Frenkel defect. e.g., AgBr, ZnS, etc.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 19
(iii) Interstitials:
This defect is noticed when constituent particles (atoms or molecules) occupy the interstitial sites in the crystal lattice. As a result, the number of particles per unit volume increases and so the density of the solid.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 20
(iv) F-centres:
These are the anionic sites occupied by unpaired electrons. F-centres impart colour to crystals. The colour results by the excitation of electrons when they absorb energy from the visible light falling on the crystal.

Question 24.
Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.
(a) What is the length of the side of the unit cell?
(b) How many unit cells are there in 1.00 cm? of aluminum? (C.B.S.E. Outside Delhi 2013)
Answer:
Step I. Calculation of length of side of the unit cell
For f.c.c. unit cell, a = \(2\sqrt { 2 } r\) = \(2\sqrt { 2 } \) (125pm) = 2 x 1.4142 x (125 pm) = 354 pm.
Step II. Calculation of no. of unit cells in 1:00 cm3 of aluminium.
Volume of one unit cell = (354 pm)3 = (354 x 10-10 cm)3 = 44174155 x 10-30 cc.
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 21

Question 25.
If NaCl is doped with 10-3 mol % of SrCl2, what is the concentration of cation vacancies?
Answer:
NCERT Solutions For Class 12 Chemistry Chapter 1 The Solid State 22

Question 26.
Explain the following with suitable examples.
(a) Ferromagnetism
(b) Piezoelectric effect
(c) Paramagnetism
(d) Ferrimagnetism
(e) Antifluoride structure
(f) 12 – 16 and 13 – 15 compounds.
Answer:
(a) Ferromagnetism: A few solids like iron. cobalt, nickel, gadolinium and CeO2 are attracted very strongly by magnetic fields. These are known as ferromagnetic solids. Apart from that, they can be even permanently magnetised or become permanent magnet. e.g., Fe, Ni, Co and CrO2

(b) Piezoelectric effect: A dielectric crystal which has a resultant dipole moment can produce electricity or show the electrical property when external pressure is applied. Such a crystal is known as piezoelectric crystal and this property is called piezoelectricity or pressure electricity. e.g., PbZrO2, Nh4H2PO4 etc.

(c) Paramagnetism: These are the solids attracted by a magnet. Actually, the atoms of the elements present have certain unpaired electrons. Their spins or magnetic moments may lead to magnetic characters. Many transition metals such as Co, Ni, Fe, Cu, etc. and their ions are paramagnetic. e.g., O2, Cu2+, Fe3+, etc

(d) Ferrimagnetism: They have certain resultant magnetic moment or magnetic character which is of permanent nature. However, ferrimanetic solids are less magnetic than ferromagnetic solids. For example, magnetic oxide of iron (Fe3O4) and ferrites with general formula MFe2O4. e.g., Fe3O4

(e) Antifluoride structure: In this structure, the positions of the cations and anions as compared to fluorite structure get reversed i.e. the smaller cations occupy the position of fluoride ions while the anions with bigger size occupy the positions of calcium ions. e.g., Li2O, K2O, Rb2O and Rb2S.

(f) 12 – 16 and 13 – 15 compounds: A large variety of solid-state materials have been prepared by the combination of elements belonging to groups 13 and 15 or group 12 and 16. A few examples of compounds 13-15 combinations are InSb, Alp and GaAs. Similarly, compounds resulting from 12 – 16 combinations are AdS, CdSe, HgTe.

We hope the NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State help you. If you have any query regarding NCERT Solutions for Class 12 Chemistry Chapter 1 The Solid State, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices

NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices

NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices are part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 14
Chapter Name Electronics Devices
Number of Questions Solved 19
Category NCERT Solutions

Question 1.
In an n-type silicon, which of the following statement is true :
(a) Electrons are majority carriers and trivalent atoms are the dopants.
(b) Electrons are minority carriers and pentavalent atoms are the dopants.
(c) Holes are minority carriers and pentavalent atoms are the doplants.
(d) Holes are majority carriers and trivalent atoms are the dopants.
Answer:
(c) ‘Holes are minority carriers and pentavalent atoms are the dopants in n type semiconductor.’

Question 2.
Which of the statements given in Exercise 1 is true for p-type semiconductors ?
Answer:
(d) Holes are majority carriers and trivalent atoms are the dopants in p-type semiconductors.

Question 3.
Carbon, silicon and germanium have four valence electrons each. These are characterised by valence and conduction bands separated by energy band gap respectively equal to (Eg)c, (Eg)si and (Eg)Ge-
Which of the following statements is true ?
(a) (Eg)Si < (Eg)Ge < (Eg)c
(b)(E)c<(Eg)Ge>(Eg)si
(c) (Eg)c > (Eg)si > (Eg)Ge
(d) (Eg)c = (Eg)si = (Eg)Ge
Answer:
(C) (Eg)c > (Eg)Si > (Eg)Ge. Energy band gap is maximum in carbon and least in germanium among the given elements.

Question 4.
In an unbiased p-n junction, holes diffuse from the p-region to n-region because
(a) free electrons in the n-region attract them.
(b) they move across the junction by the potential difference.
(c) hole concentration in p-region is more as compared to n-region.
(d) All the above.
Answer:
(c) hole concentration in p-region is more as compared to n-region because hole diffusion takes place from higher concentration to lower concentration.

Question 5.
When a forward bias is applied to a p-n junction, it
(a) raises the potential barrier
(b) reduces the majority carrier current to zero
(c) lowers the potential barrier
(d) none of the above.
Answer:
(c) lowers the potential barrier by cancelling the depletion layer.

Question 6.
For transistor action, which of the following statements are correct :
(a) Base, emitter and collector regions should have similar size and doping concentrations.
(b) The base region must be very thin and lightly doped.
(c) The emitter junction is forward biased and collector junction is reverse biased.
(d) Both the emitter junction as well as the collector junction are forward biased.
Answer:
(b) and (c) : The base region must be very thin, lightly doped and the emitter junction is forward biased whereas collector junction is reverse biased to avoid unnecessary diffusion of charge carrier in the base and also for proper amplification.

Question 7.
For a transistor amplifier, the voltage gain :
(a) remains constant for all frequencies.
(b) is high at high and low frequencies and constant in the middle frequency range.
(c) is low at high and low frequencies and constant at mid frequencies.
(d) None of the above.
Answer:
(c) is low at high and low frequencies and constant at mid frequencies as per frequency response of a transistor.

Question 8.
In half-wave rectification, what is the output frequency if the input frequency is 50 Hz. What is the output frequency of a full-wave rectifier for the same input frequency.
Answer:
A half wave rectifier rectifies only one half cycle of input A.C.
.’. frequency of the output A.C.
= frequency of input A.C. = 50 Hz A full wave rectifier rectifies both halve cycles
of the A.C. input
.’. frequency of output A.C. = 2 x frequency of input A.C. = 2 x 50 = 100 Hz

Question 9.
For a CE-transistor amplifier, the audio signal voltage across the collector resistance of 2 kQ is 2 V. Suppose the current amplification factor of the transistor is 100, find the input signal voltage and base current, if the base resistance is 1 kΩ.
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 1

Question 10.

Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 10 and the second has a voltage gain of 20. If the input signal is 0.01 volt, calculate the output ac signal.
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 2

Question 11.

A p-n photodiode is fabricated from a semiconductor with bandgap of 2.8 eV. Can it detect a wavelength of 6000 nm ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 3
Since the energy of the light photon is less than the bandgap energy of the p-n diode, it can not be detected.

Question 12.
The number of silicon atoms per m3 is 5 x 1028. This is doped simultaneously with 5 x 1022 atoms per m3 of Arsenic and 5 x 1020 per m3 atoms of Indium. Calculate the number of electrons and holes. Given that ni = 1.5 x 1016 m-3. Is the material n-type or p- type ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 4

Question 13.

In an intrinsic semiconductor, the energy gap Eg is 1.2 eV. Its hole mobility is much smaller than electron mobility and independent of temperature. What are the ratio between conductivity at 600 K and that at 300 K? Assume that the temperature dependence of intrinsic carrier concentration ni is given by
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 5
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 6

Thus, conductivity of a semiconductor increases with rise in temperature.

Question 14.
In a P-n junction diode, the current I can be expressed as
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 7
where I0 is reverse saturation current. V is the voltage across the diode and is positive for forwarding bias and negative for reverse bias, and I is the current through the diode, Kis the Boltzmann constant (8.6 x 10-5 eV/K) and T is the absolute temperature. If for a given diode I0 = 5 x 10-12 A and T = 300 K, then
(a) What will be the forward current at a forwarding voltage of 0.6 V?
(b) What will be the increase in the current if the voltage across the diode is increased to 0.7 V?
(c) What is the dynamic resistance?
(d) What will be the current if reverse bias voltage changes from 1 V to 2 V?
Answer:
The statement of the given question is incorrect. The relation should be

Question 15.
You are given the two circuits as shown in Figure. Show that circuit (a) acts as OR gate while circuit (b) acts as AND gate.
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 8
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 9

Question 16.

Write the truth table for a NAND gate connected as given in Fig. Hence identify the exact logic operation carried out by these circuits.
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 10
Answer:
The NAND gate shown in the truth table has only one input. Therefore, the truth table is

A A y = \( \bar { A.A }\)
0 0 1
1 1 0

Since Y = \( \bar { A }\) in this case, the circuit is actually a NOT gate with the truth table

A Y
0 1
1 0

Question 17.
You are given two circuits as shown in Fig., which consist of NAND gates. Identify the logic operation carried out by the two circuits.
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 11
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 12
Question 18.
Write the truth table for circuit given in Fig. below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 13
Answer:
Let y1 be the output which appears at the first operation of NOR gate.
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 14

A B Y
0 0 0
1 0 1
0 1 1
1 1 1

Question 19.
Write the truth table for the circuits given in Fig., consisting of NOR gates only. Identify the logic operations (OR, AND, NOT) performed by the two circuits
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 15
Answer:
NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices 16

We hope the NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices, help you. If you have any query regarding NCERT Solutions for Class 12 Physics Chapter 14 Electronics Devices, drop a comment below and we will get back to you at the earliest.

 

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction are part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 6
Chapter Name Electromagnetic Induction
Number of Questions Solved 16
Category NCERT Solutions

Question 1.
Predict the direction of induced current in the situations described by the following Fig. 2(a) to (f).
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 1
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 2
Answer:
(a) By Lenz’s law, the face of the coil towards the south pole of the magnet opposes the south pole. So this face should behave as the south pole. Hence the current flows along qrpq.
(b) Similar to the above reason the current flows along yzxy and along prqp.
(c) When the coil is energised, with a cell the increasing current produces an inverse current in the nearby coil along yzxy.
(d) Similar to the above reason the current flows along zyvz.
(e) By Lenz’s law current is along xryx.
(f) Field lines being along the plane of the loop, there is no induced current.

Question 2.
Use Lenz’s law to determine the direction of induced current in the situations described by Figure:
(a)
A wire of irregular shape turning into a circular shape;
(b) A circular loop being deformed into a narrow straight wire.
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 3
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 4
Answer:
When a wire of irregular shape turns into a circular (loop the magnetic flux linked with the loop increases due to an increase in area) The irregular shape. The induced e.m.f. will cause current to flow in such a direction, so that the wire forming the loop is pulled inward from all sides. It requires that the current should flow.
By applying Lenz’s Law, it follows that the current will flow in the direction a, d, c, b, a.

Question 3.
A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1s, what is the induced e.m.f. in the loop while the current is changing?
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 5

Question 4.

A rectangular wire loop of sides 8 cm and 2 cm with a small cut ¡s moving out of a region of the uniform magnetic field of magnitude O.3 T directed normal to the mop. What ¡s the e.m.f. developed across the cut if the velocity of the loop is 1 cm s-2 in a direction normal to the
(a) longer side,
(b) the shorter side of the loop? For how long does the induced voltage last in each case?
Answer:
e = B
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 6
Question 5.
A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s_1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the e.m.f. developed between the center and the ring.
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 7
Question 6.
A circular coil of radius 8.0 cm and 20 turns rotates about its vertical diameter with an angular speed of 500 rad s_1 a uniform horizontal magnetic field of magnitude 3.0 x 10-2 T. Obtain the maximum and average emf induced in the coil. If the coil forms a closed loop of resistance 10 Ω, calculate the maximum value of current in the coil. Calculate the average power loss due to Joule heating. Where does this power come from?
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 8
(v) Source of power loss is the external rotor which provides the necessary torque to rotate the coil.

Question 7.
A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 ms-1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 x 10-4 Wb m-2.
(a) What is the instantaneous value of the e.m.f. induced in the wire?
(b) What is the direction of the e.m.f.?
(c) Which end of the wire is at the higher electrical potential?
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 9
(b) Using Fleming’s Right-hand rule, the direction of induced e.m.f. is from West to East.
(c) Since the rod will act as a source, the Western end will be at a higher electrical potential.

Question 8.
Current in a circuit falls from 5.0 A to 0.0 As. If an average emf of 200 V is induced, give an estimate of the self-inductance of the circuit.
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 9.1

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 11
Question 9.

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
Answer:
B = M.dl = 1.5 x (20 – 0) = 30 Wb

Question 10.
A jet plane is travelling towards the west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the wing having a span of 25 m, if the Earth’s magnetic field at the location has a magnitude of 5 x 10-4 T and the dip angle is 30°?
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 11.1

Question 11.
Suppose the loop in Exercise 6.4 is stationary but the current feeding the electromagnet that produces the magnetic field is gradually reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T s-1. If the cut is joined and the loop has a resistance of 1.6 Ω, how much power is dissipated by the loop as heat? What is the source of this power?
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 12
The Source of this power is the external agency which brings a change in a magnetic field.

Question 12.
A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s_1 in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10-3 T cm-1 along the negative x-direction (that is it increases by 10-3 T cm-1 as one moves in the negative x-direction), and it is decreasing in time at the rate of 10-3 T s_1. Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mΩ.
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 13
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 14
The direction of the induced current is such that it increases the magnetic flux linking with the loop in positive 2-direction.

Question 13.
It is desired to measure the magnitude of the field between the poles of a powerful loudspeaker magnet. A small flat search coil of area 2 cm2 with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region. Equivalently, one can give it a quick 90° turn to bring its plane parallel to the field direction. The total charge flew in the coil (measured by a ballistic galvanometer connected to the coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50 Ω. Estimate the field strength of the magnet.
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 15
Question 14.
The figure shows a metal rod PQ resting on the rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutually perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod = 15 cm, B = 0.50 T, resistance of the closed-loop containing the rod = 9.0 mΩ. Assume the field to be uniform.
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 16
(a) Suppose K is open and the rod is moved with a speed of 12 cm s-1 in the direction shown. Give the polarity and magnitude of the induced emf.
(b) Is there an excess charge built up at the ends of the rods when K is open? What if K is closed?
(c) With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ even though they do experience a magnetic force due to the motion of the rod. Explain.
(d) What is the retarding force on the rod when K is closed?
(e) How much power is required (by an external agent) to keep the rod moving at the same speed (= 12 cm s_1) when K is closed? How much power is required when K is open?
(f) How much power is dissipated as heat in the closed-circuit? What is the source of this power?
(g) What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?
Answer:
Here, B = 0.50 T; 1 = 15 cm = 15 x 10-2 m;
R = 9.0m Q = 9.0 x 103 fl
(a) Now, e = Bvl
Here, V = 12 cm s-1 = 12 x 10-2 ms-1
∴ e = 0.50 x 12 x 10-2x 15 x 10 2 = 9 x 10-3V
If q is a charge on as electron, then the electrons in the rod will experience magnetic Lorentz force \(-q[\vec { v } +\vec { B } ]\) P. Q. Hence, the end P of the rod will become positive and the end Q will become negative.

(b) When the switch K is open, the electron collects at the end Q. Therefore, excess change is built up at the end Q. However, when the switch K is closed, the accumulated charge at the end Q flows through the circuit,

(c) The magnetic Lorentz force on the electron is cancelled by the electronic force acting on it due to the electronic field set up across the two ends due to the accumulation of positive and negative charges at the ends P and Q respectively.

(d) Retarding force, F = BIl =B \(\frac { e }{ R } \)
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 17

Question 15.
An air-cored solenoid with length 30 cm, area of cross-section 25 cm2 and number of turns 500, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10-3 s. How much is the average back emf induced across the ends of the open switch in the circuit ? Ignore the variation in magnetic field near the ends of the solenoid.
Answer:
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 18

Question 16.
(a) Obtain an expression for the mutual inductance between a long straight wire and a square loop of side a as shown in Figure
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 19
(b) Now assume that the straight wire carries a current of 50 A and the loop is moved to the right with a constant velocity, υ = 10 m/s. Calculate the induced e.m.f. in the loop at the instant when x = 0.2 m. Take a = 0.1 m and assume that the loop has a large resistance.
Answer:
(a) Consider a small portion of the coil of thickness dt at a distance t from the current-carrying wire. Then the magnetic field strength experienced by this portion
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 20

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 21

NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 22

Question 17.

A line charge X per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has light non-conducting spokes and is free to rotate without friction about its axis (Figure.) A uniform magnetic field extends over a circular region within the rim. It is given by
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 22.1
What is the angular velocity of the wheel after the field is suddenly switched off?
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 23
Answer:
Change in magnetic field is given by,
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 24
NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction 25

We hope the NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction, help you. If you have any query regarding NCERT Solutions for Class 12 Physics Chapter 6 Electromagnetic Induction, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves

NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves

NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves are part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 8
Chapter Name Electromagnetic Waves
Number of Questions Solved 15
Category NCERT Solutions

Question 1.
Figure shows a capacitor made of two circular plates each of radius 12 cm and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in figure). The charging current is constant and equal to 0.15 A.
(a) Calculate the capacitance and the rate of change of potential difference between the plates.
(b) Obtain the displacement current across the plates.
(c) Is Kirchhoffs first rule valid at each plate of the capacitor ? Explain.
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 1
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 2
Yes. Because conduction current entering one plate is equal to the displacement current leaving that plate.

Question 2.
A parallel plate capacitor (shown in the figure) made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V a.c. supply with an (angular) frequency of 300 rad s_1.
(a) What is the r .m.s. value of the conduction current?
(b) Is the conduction current equal to the displacement current?
(c) Determine the amplitude of \( \overrightarrow { B } \) at a point 3.0 cm from the axis between the plates.
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 3
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 4

NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 5

NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 6

Question 3.
What physical quantity is the same for X-rays of g g wavelength 10-10 m, the red light of wavelength 6800 A, and radiowaves of wavelength 500 m?
Answer:
The speed in a vacuum is the same for all are c = 3 x 108 ms-1. (Electromagnetic waves)

Question 4.
A plane electromagnetic wave travels in a vacuum along Z-direction. What can you say about the directions of its electric and magnetic field vectors? If the frequency of the wave is 30 MHz, what is its wavelength?
Answer:
The electric field vector \( \overrightarrow { E } \) and magnetic field vector\( \overrightarrow { B } \) are in xy plane. They are normal to each other.
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 7
Question 5.
A radio can tune into any station in the 7.5 MHz to 12 MHz band. What is the corresponding wavelength band ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 8

=> The corresponding wavelength band is 40 m to 25 m.

Question 6.
A charged particle oscillates about its mean equilibrium position with a frequency of 109 Hz. What is the frequency of the electromagnetic waves produced by the oscillator?
Answer:
The frequency of the electromagnetic waves produced is the same as that of the oscillating charged particle. Hence the frequency of the electro­magnetic waves produced is, υ= 109 Hz.

Question 7.
The amplitude of the magnetic field part of a harmonic electromagnetic wave in a vacuum is B0 =510 nT. What is the electromagnetic waves produced by the oscillator?
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 9

Question 8.
Suppose that the electric field amplitude of an electromagnetic wave is E0 = 120 N/C and that its frequency is v = 50.0 MHz.
(a) Determine, B0, ω, k and λ.
(b) Find expressions for E and B.
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 10
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 11

Question 9.
The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula E = hv (for the energy of a quantum of radiation: photon) and obtain the photon energy in units of eV for different parts of the electromagnetic spectrum. In what way are the different scales of photon energies that you obtain related to the sources of electromagnetic radiation?
Answer:
Using the relation for photon energy,
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 12
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 13
Conclusion.
The above result indicates that the different wavelengths in the electromagnetic spectrum can be obtained by multiplying roughly the powers often.
The visible wavelengths are spaced by a few eV.
The nuclear energy levels (from y rays) are spaced about 1 MeV.

Question 10.
In-plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 2.0 x 1010 Hz and amplitude 48 Vm_1.
(a) What is the wavelength of the wave?
(b) What is the amplitude of the oscillating magnetic field?
(c) Show that the average energy density of the E field equals the average energy density of the B field. [c= 3 x 108 ms-1].
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 14
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 15

Question 11.
Suppose that the electric field part of an electromagnetic wave in a vacuum is
E = {(3.1 N/C) cos[(1.8 rad/m)y + (5.4 x 106 rad/s)f]}\(\hat { i } \).
(a) What is the direction of propagation?
(b) What is the wavelength X?
(c) What is the frequency v?
(d) What is the amplitude of the magnetic field part of the wave?
(e) Write an expression for the magnetic field part of the wave.
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 16

Question 12.
About 5% of the power of a 100 W light bulb is converted to visible radiation. What is the average intensity of visible radiation?
(a) at a distance of 1 m from the bulb?
(b) at a distance of 10 m?
Assume that the radiation is emitted isotropically and neglect reflection.
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 17

Question 13.
Use the formula λmT = 029 cm K to obtain the characteristic temperature ranges for different parts of the electromagnetic spectrum. What do the numbers that you obtain tell you?
Answer:
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 18
These numbers tell us the range of temperature required to obtain the different parts of the spectrum. For example, to obtain a wavelength of 1 μm, a temperature of 2900 K is required.

Question 14.
Given below are some famous numbers associated with electromagnetic radiations in different contexts in physics. State the part of the electromagnetic spectrum to which each belongs.
(a) 21 cm (wavelength emitted by atomic hydrogen in interstellar space).
(b) 1057 MHz (frequency of radiation arising from two close energy levels in hydrogen; known as Lamb shift.)
(c) 2.7 K (temperature associated with the isotropic radiation filling all space-thought to be a relic of the ‘big-bang’ origin of the universe.)
(d) 5890 Å-5896 Å (double lines of sodium)
(e) 14.4 keV [energy of a particular transition in 57Fe nucleus associated with a famous high-resolution spectroscopic method (Mossbauer spectroscopy).]
Answer:
(a) Radio waves (short-wavelength end)
(b) Radio waves (short-wavelength end)
(c)
NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves 19

(d) Given wavelength is of the order of 10-7 m i.e visible radiations(yellow light)

Question 15.
Answer the following questions:

  1. Long-distance radio broadcasts use shortwave bands. Why?  (C.B.S.E. 2005)
  2. It is necessary to use satellites for long-distance TV transmission. Why? (C.B.S.E. 2005)
  3. Optical and radio telescopes are built on the ground but X-ray astronomy is possible only from satellites orbiting the earth. Why? (C.B.S.E. 2009)
  4. The small ozone layer on top of the stratosphere is crucial for human survival. Why ?(C.B.S.E. 2005, 2009)
  5. If the earth did not have an atmosphere, would its average surface temperature be higher or lower than what it is now?
  6. Some scientists have predicted that a global nuclear war on the earth would be followed by a severe nuclear winter’ with a devastating effect on life on earth. What might be the basis of this prediction? (C.B.S.E. 1995)

Answer:

  1. The ionosphere reflects waves in these bands.
  2. Television signals are of >30 MHz penetrate the ionosphere. Therefore, reflection is effected by satellites.
  3. The atmosphere absorbs X-rays. while visible and radio waves can penetrate it.
  4. It absorbs ultraviolet radiation from the sun and prevents it from reaching the earth’s surface and causing damage to life.
  5. The temperature of the earth would be lower because the Greenhouse effect of the atmosphere would be absent.
  6. The clouds produced by global nuclear war would perhaps cover substantial parts of the sky preventing solar light from reaching many parts of the globe. This would cause a ‘winter’. against which life on earth cannot withstand.

We hope the NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves, help you. If you have any query regarding NCERT Solutions for Class 12 Physics Chapter 8 Electromagnetic Waves, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems

NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems

NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems are part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems.

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 15
Chapter Name Communication Systems
Number of Questions Solved 8
Category NCERT Solutions

Question 1.
At which of the following frequency/frequencies the communication will not be reliable for a receiver situated beyond the horizon:
(a) 10 kHz
(b) 10 MHz
(c) 1 GHz
(d) 1000 GHz
Answer:
(b) is correct. Here (c) and (d) frequencies have high penetration power so the earth will absorb them. Radiation (a) of 10 kHz will suffer from the problem of the size of the antenna.

Question 2.
Frequencies in the UHF range normally propagate by means of
(a) ground waves
(b) sky waves
(c) surface waves
(d) space waves.
Answer:
(d) space waves.

Question 3.
Digital signals (i) do not provide a continuous set of values, (ii) represent values as discrete steps, (Hi) can utilize the only binary system, and (iv) can utilize decimal as well as a binary system. Which of the following options is true :
(a) Only (i) and (ii).
(b) Only (ii) and (iii).
(c) Only (i), (ii) and (iii), but not (iv).
(d) AH the above (i) to (iv).
Answer:
(c) is correct because the decimal system is concerned with continuous values (i) to (iii).

Question 4.
Is it necessary for a transmitting antenna to be at the same height as that of the receiving antenna for line-of-sight communication? A TV transmitting antenna is 81 m tall. How much service area can it cover if the receiving antenna is at the ground level?
Answer:
For line-of-sight communication, it is necessary that the transmitting antenna and receiving antenna should be eye to eye but it is not necessary that they should be at the same height.
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 1

Question 5.
A carrier wave of peak voltage 12 V is used to transmit a message signal. What should be the peak voltage of the modulating signal in order to have a modulation index of 75%?
Answer:
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 2

Question 6.
A modulation signal is a square wave as shown in the figure. The carrier wave is given by
C(t) = 2 sin(8πt) V
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 3
(a) Sketch the amplitude modulated waveform.
(b) What is the modulation index?
Answer:
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 4
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 5
Accordingly, the amplitude modulated waveform is shown ahead:

Question 7.
For an amplitude modulated wave, the maximum amplitude is found to be 10 V while the minimum amplitude is found to be 2 V. Determine the modulation index μ. What would be the value of μ if the minimum amplitude is zero V?
Answer:
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 6
Question 8.
Show that if a device is available which can multiply two signals, then it is possible to recover the modulating signal at the receiver station.
Answer:
Let there be two signals represented by
Ac cos ωct and A0 cos(ωc + ωm)t where Ac is the
amplitude, ωc is the angular frequency of a carrier wave at the receiving end and A0 is the amplitude, (ωc+ ωm) is the angular velocity of the modulated wave.
Multiplying these signals, we get
NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems 7

We hope the NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems, help you. If you have any query regarding NCERT Solutions for Class 12 Physics Chapter 15 Communication Systems, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance

NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance

NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance are part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 2
Chapter Name Electrostatic Potential and Capacitance
Number of Questions Solved 37
Category NCERT Solutions

Question 1.
Two charges 5 x 10-8 C and -3 x 10-8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero. Ans. Let the potential be zero at 0, then
Answer:
Let the potential be zero at 0, then vA + VB= 0, where VA is electric potential due to charge qA and VB is the electric potential due to charge qB.
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 1

Question 2.
A regular hexagon of side 10 cm has a charge 5 μC at each of its vertices. Calculate the potential at the center of the hexagon.
Answer:
Total potential at O is given by,
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 2

Question 3.
Two charges 2μC and -2μC are placed at points A and B, 6 cm apart.
(a) Identify an equipotential surface of the system. % What is the direction of the electric field at every through the mid-point. On this plane, the potential is zero everywhere.
(b) The direction of the electric field is from positive to negative charge i.e. A to B, which is in fact perpendicular to the equipotential plane.
Answer:
(a) A surface containing an equatorial line and a perpendicular line.
(b) Towards the side of – ve charge, parallel to the axis.

Question 4.
A spherical conductor of a radius of 12 cm has a charge of 1.6 x 10-7 C distributed uniformly on its surface. What is the electric field
(a) inside the sphere
(b) just outside the sphere
(c) at a point 18 cm from the center of the sphere?
Answer:
(a) inside a conductor, the electric field is zero because the charge resides on the surface of a conductor.
(b) Electric field just outside the sphere is given by
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 3
Question 5.
A parallel plate capacitor with air between the plates has a capacitance of 8 pF
(1 pF = 10-12 F.) What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 4

Question 6.
Three capacitors each of capacitance 9 pF are connected in series.
(a) What is the total capacitance of the combination?
(b) What is the potential difference across each capacitor if the combination is connected to a 120 V supply ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 5

Question 7.
Three capacitors of capacitances 2 pF, 3 pF and 4pF are connected in parallel.
(a) What is the total capacitance of the combination?
(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.
Answer:
(a) Total capacitance
= c1 + c2 + c3
= 2 + 3+ 4 = 9pF.
(b) Using C = \(\frac { q }{ v } \) we get q = CV
∴ qx = C1V = 2 x 10-12 x 100
= 2 x 10-10 C = 200 pC
q2 = c2V
= 3 x 10-12 x 100
= 3 x 10-10 C = 300 pC
q3 = c3v
= 4 x 10-12 x 100
= 4 x 10-10 C = 400 pC

Question 8.
In a parallel plate capacitor with air between the plates, each plate has an area of
6 x 10-3 in2 and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 6

Question 9.
Explain what would happen if in the capacitor given in Q. 2.8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,
(a) while the voltage supply remained connected.
(b) after the supply was disconnected.
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 7

Question 10.
A 12 pF capacitor is connected to a 50 V battery.How much electrostatic energy is stored in the capacitor ?
Answer:
E = \(\frac { 1 }{ 2 } \) CV2 = \(\frac { 1 }{ 2 } \) x 12 x 10-12 x 50 x 50 = 1.5 2 2 x 10-8J.

Question 11.
A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from die supply and is connected  to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process ?
Ans.
Here, C1 = 600pF = 6 x 10-10 F, C2 =
6 x 10-10 F, V1 = 200V, V2 = 0
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 8

Question 12.
A charge of 8 mC is located at the origin. Calculate the work done in taking a small charge of -2 x 10-9 C from a point P(0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point
R(0, 6 cm, 9 cm.)
Answer:
The work done by electrostatic force on a charge is independent of the path followed by the charge. It depends only on the initial and final positions of the charge.
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 9
Question 13.
A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the center of the cube.
Answer:
(1) Distance of the center of the cube from vertex is half of the diagonal of the cube
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 10
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 11

(2) From symmetry, it is clear that electric field at center of the cube is zero.

Question 14.
Two tiny spheres carrying charges 1.5 μc and 2.5 μc are located 30 cm apart. Find the potential and electric field :
(a) at the mid point of the line joining the two charges,
(b) at a point 10 cm from this mid-point in a plane normal to the line and passing through the mid­point.
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 12
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 13
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 14
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 15

Question 15.
A spherical conducting shell of inner radius rl and outer radius r2 has a charge Q.
(a) A charge q is placed at the center of the shell. What is the surface charge density on the inner and outer surfaces of the shell?
(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.
Answer:
(a) Charge Q appears on the outer surface.
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 16
When charge q is placed at the center, it induces – q charge on the inner surface and +q on the outer surface.
.’. charge density of the inner surface,

NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 17
and charge density of the outer surface,
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 18
Consider a cavity of an irregular shape with the net charge to be zero inside it. Let a closed-loop be partially inside and the rest outside the cavity. The field inside the conductor is zero, so some work is done by the field to carry a test charge in the closed-loop, but this is against the provisions of an electrostatic field because as per Gauss’s law, the net charge inside a Gaussian surface must be zero. Thus, there cannot be field lines inside the cavity irrespective of its shape.

Question 16.
(a) Show that the normal component of the electrostatic field has a discontinuity from one side of a charged surface to another given by
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 19
where \(\hat { n } \) is a unit vector normal to the surface at a point and a is the surface charge density at that point. (The direction of h is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is σ\(\hat { n } \) /ε0
(b) Show that the tangential component of the electrostatic field is continuous from one side of a charged surface to another.[Hint. For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
Answer:
Consider a sheet of charge having charge density a. E on either side of the sheet, perpendicular to the plane of sheet, has same magnitude at all points equidistant from the sheet.
Electric field intensity on the left side of the sheet,
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 20
The electric field tangential to the plate is continuous throughout.

Question 17.
a long charged cylinder of linear charged density A. is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?
Answer:
A cylinder P has linear charge density, λ, length l, and radius r1
The charge on cylinder P, q = XL A hollow co-axial conducting cylinder of length / and radius r2 surrounds the cylinder P. Charge on cylinder Q = – q.
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 21
Consider a Gaussian surface in the form of a cylinder of radius r and length l. The electric flux through the curved surface of the Gaussian surface,

NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 22

Question 18.

In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å:
(a) Estimate the potential Energy of the system in eV, taking the zero of the potential energy at an infinite separation of the electron from the proton.
(b) What is the minimum work required to free the electron, given that it’s kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?
(c) What are the answers to (a) and (b) above if the zero of potential energy is taken at 1.06 A separation?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 23
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 24

Question 19.
If one of the two electrons of an H2 molecule is removed, we get a hydrogen molecular ion H+2. In the ground state of an H+2, the two protons are separated by roughly 1.5 Å, and the electron is roughly Å from each proton. Determine the potential energy of the system. Specify your choice of zero potential energy.
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 25

Question 20.
Two charged conducting spheres of radii a and b are connected to each other by a wire. What is the ratio of the electric field at the surfaces of the two spheres? Use the result obtained to explain why the charge density on the sharp and pointed ends of a conductor is higher than on its flatter portions.
Answer:
Two charged conducting spheres of radii a and b connected by a wire will reach to the same potential.
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 26
Clearly, electric charge density for the pointed surface will be more because a flat surface can be equated to a spherical surface of large radius and a pointed portion to a spherical surface of small radius.

Question 21.
Two charges -q and + q are located at points (0, 0, -a) and (0, 0, a), respectively.
(a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0)?
(b) Obtain the dependence of potential on the distance r of a point from the origin when r/a > > 1.
(c) How much work is done in moving a small test charge from the point (5, 0, 0) to (-7, 0, 0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 27
The point (x, y, 0) is perpendicular to Z-axis, there­fore, the potential at (x, y, 0) is zero.
(b) Consider P to be the point of observation at a distance r from the center (O) of the electric dipole.
Let OP make an angle 0 with the dipole moment \( \overrightarrow { p } \)
and r1, r2 be the distances of point P from – q charge and + q charge respectively. Potential at P due to – q charge,
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 28
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 29
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 30
The answer does not change because, in electrostatics, the work done does not depend upon the actual path, it simply depends upon the initial and final positions.

Question 22.
The figure shows a charge array known as an electric quadrupole. For a point on the axis of the quadrupole, obtain the dependence of potential on r for r/a > > l, and contrast your results with that due to an electric dipole, and an electric monopole
(i.e., a single charge.)
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 31
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 32
(2) Due to electric dipole, the potential is of 1/r2 type.
(3) Due to an electric monopole, the potential is of 1/r type.

Question 23.
An electrical technician requires a capacitance of 2 μF in a circuit across a potential difference of 1 kV. A large number of 1 μF capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the minimum number of capacitors.
Answer:
Let N capacitors be used in m rows when each row has n capacitor i.e. N = mn
In series
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 33
Question 24.
What is the area of the plates of a 2 F parallel plate capacitor, given that the separation between the plates is 0.5 cm ? (You will realise from your answer why ordinary capacitors are in the range of μF or less. However, electrolytic capacitors do have a much larger capacitance ((0.1 F) because of very minute separation between the conductors.)
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 34

Question 25.
Obtain the equivalent capacitance of the network in figure. For a 300 V supply, determine the charge and voltage across each capacitor. (C.B.S.E. 2008)
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 35
Answer:
The equivalent circuit is as shown below :
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 36
Potential difference across C4 is in the ratio 2:1
i.e., 200 V
.’. Charge on C4 = C4V4
= 100 x 200 x 10-12 = 2 x 10-8 C
Potential difference across C1= 100 V
Charge on C1 = C1x V1
=100 x 100 x 10-12 = 1 x 10-8 C
Potential difference across C2 and C3 is 50 v each
∴ Charge on C2 or C3 = C2V2
= 200 x 50 x 10-12 = 10-8 C.

Question 26.
The plates of a parallel plate capacitor have an area of 90 cm2 each and are separated by 2.5 mm. The capacitor is charged by connecting it to a 400 V supply.
(a) How much electrostatic energy is stored by the capacitor?
(b) View this energy as stored in the electrostatic field between the plates, and obtain the energy per unit volume Hence arrive at a relation between u and the magnitude of electric field E between the plates.
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 37
Question 27.
A 4 μF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 μF capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 38

Question 28.
Show that the force on each plate of a parallel plate capacitor has a magnitude equal to (1/2) QE, where Q is the charge on the capacitor and E is the magnitude of the electric field between the plates. Explain the origin of the factor (1/2).
Answer:
Let F be the force on each plate of the capacitor. If the distance between the plates of the capacitor is increased by dx, then work done = F dx. This work done is stored as the potential energy of the capacitor. The increase in the volume of capacitor = A dx
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 39
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 40

Question 29.
A spherical capacitor consists of two concentric spherical conductors held in position by suitable insulating supports (Figure.) Show that the capacitance of a spherical capacitor is given by
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 41
where rx and r2 are the radii of outer and inner spheres, respectively.
Answer:
It consists of two concentric spherical shells A and B of radii a and b with charge +q and charge -q respectively. (Outer sphere is grounded)
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 42
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 43
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 44
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 45

Question 30.
A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of 2.5 pC. The space between the concentric spheres is filled with a liquid of dielectric constant 32.
(a) Determine the capacitance of the capacitor.
(b) What is the potential of the inner sphere?
(c) Compare the capacitance of this capacitor with that of an isolated sphere of radius 12 cm. Explain why the latter is much smaller.
Answer:
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 46
Question 31.
Answer carefully:
(a) Two large conducting spheres carrying charges Q1 and Q2 are brought close to each other. Is the magnitude of the electrostatic force between them exactly given by Q1Q2/4Πε0r2, where r is the distance between their centers?
(b) If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?
(c) A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
(d) What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?
(e) We know that the electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?
(f) What meaning would you give to the capacitance of a single conductor?
(g) Guess a possible reason why water has a much greater dielectric constant (= 80) than say, mica (=6).
Answer:
(a) No. The given relation is Coulomb’s law which is true for point charges. In the present case, as the spheres are brought closer, the distribution of charge on them becomes nonuniform.

(b) No. The surface area in space varies as r2 so that field varies as \(\frac { 1 }{ { r }^{ 2 } }\). Hence \(\frac { 1 }{ { r }^{ 2 } }\) dependence is essential.

(c) Not necessarily. The motion of charged particles need not be along the line of the field. It does so in the uniform field. The field gives the direction of acceleration and not that of velocity in general.

(d) Zero. For any complete path in the electrostatic field (the shape does not matter), it is zero.

(e) No. Potential is continuous there.

(f) The single conductor can form a condenser with the other conductor at infinity. Hence the meaning of storage of charge retains.

(g) Water molecules are polar molecules.

Question 32.
A cylindrical capacitor has two co-axial cylinders of length 15 cm and radii 1.5 cm and 1.4 cm. The outer cylinder is earthed and the inner cylinder is given a charge of 3.5 pC. Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects, (i.e., bending of field lines at the end)
Answer:
The capacitance of a cylindrical capacitor is given by
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 47

Question 33.

A parallel plate capacitor is to be designed with a voltage rating of 1 kV, using a material of dielectric constant 3 and dielectric strength of about 107 Vm-1. (Dielectric strength is the maximum electric field a material can tolerate without breakdown, i.e., without starting to conduct electricity through partial ionization.) For safety, we should like the field never to exceed, say 10% of the dielectric strength. What minimum area of the plates is required to have a capacitance of 50 pF?
Answer:
10% of the given field i.e. 107 V m1 gives E = 0.1 X 107 Vnr1
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 48
Question 34.
Describe schematically the equipotential surfaces corresponding to
(a) a constant electric field in the z-direction,
(b) a field that uniformly increases in magnitude but remains in a constant (say, z) direction,
(c) a single positive charge at the origin, and
(d) a uniform grid consisting of long equally spaced parallel charged wires in a plane.
Answer:
(a) A plane parallel to XY plane.
(b) Plane parallel to XY plane but the planes having different fixed potential will become closer with the increase in field intensity.
(c) Concentric spheres with origin as the center.
(d) A time-dependent changing shape nearer to the grid which slowly becomes planar and parallel to the grid at far off distances from the grid.

Question 35.
In a van de Graaff type generator a spherical metal shell is to be a 15 X 106 V electrode. The dielectric strength of the gas surrounding the electrode is 5 x 107 vm-1. What is the minimum radius of the spherical shell required? (You will learn from this exercise why one cannot build an electrostatic generator using a very small shell which requires a small charge to acquire a high potential.) (C.B.S.E. 2008)
Answer:
The minimum radius of the shell of the van de Graaff generator is given by the relation
NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance 49
Question 36.
A small sphere of radius r1 and charge q1 is enclosed by a spherical shell of radius r2 and charge q. Show that if q1 is positive, the charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge
q2 on the shell is.
Answer:
Charge resides on the outer surface of a conductor. So the charge on the inner sphere will flow towards the shell through the conducting wire. Moreover, from Gauss’s law, no electric field exists inside a Gaussian surface, and also the charges enclosed by a closed surface only contribute towards the field. So q2 does not matter in this case. It is positive, a potential difference is also positive.

Question 37.
Answer the following:
(a) The top of the atmosphere is at about 400 kV with respect to the surface of the earth, corresponding to an electric field that decrases with altitude. Near the surface of the earth, the field is about 100 Vm_1. Why then do we not get an electric shock as we step out of our house into the open ? (Assume the house to be a stell cage so there is no field inside !)
(b) A man fixes outside his house one evening a two meter high insulating slab carrying on its top a large aluminium sheet of area 1 m2. Will he get an electric shock if he touches the metal sheet next morning ?
(c) The discharging current in the atmosphere due to the small conductivity of air is known to be 1800 A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral ? In other words, what keeps the atmosphere charged ?
(d) What are the forms of energy into which the electrical energy of the atmosphere is dissipated during a lightning ?
[Hint. The earth has an electric field of about 100 Vm-1 at its surface in the downward direction, corresponding to a surface charge density = -10-9 C m-2. Due to the slight conductivity of the atmosphere up to about 50 km (beyond which it is good conductor), about +1800 C is pumped every second into the earth as a whole. The earth, however, does not get discharged since thunderstorms and lightning occurring continually all over the globe pump an equal amount of negative charge on the earth.]
Answer:
(a) Our body and the ground form an equipotential surface. As we step out into the open, the original equipotential surfaces of open-air change, keeping our head and the ground at the same potential.

(b) Yes. The steady discharging current in the atmosphere charges up the aluminum sheet gradually and raises its voltage to an extent depending on the capacitance of the capacitor (formed by the sheet, slab, and the ground).

(c) The atmosphere is continually being charged by thunderstorms and lightning all over the globe and discharged through regions of ordinary weather. The two opposing currents are, on average, in equilibrium.

(d) Light energy involved in lightning; heat and sound energy in the accompanying thunder.

We hope the NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance, help you. If you have any query regarding NCERT Solutions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond

NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond are part of NCERT Solutions for Class 12 History. Here we have given NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond.

Board CBSE
Textbook NCERT
Class Class 12
Subject History
Chapter Chapter 13
Chapter Name Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond
Number of Questions Solved 9
Category NCERT Solutions

NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond

Question 1.
How did Mahatma Gandhi seek to identify with the common people ?
Solution :
Mahatma Gandhi was appreciated by the people because he dressed like them, lived like them, and spoke their languages. He tried to identify with them in the following ways :

  • Gandhiji dressed himself in simple dhoti or loin cloth.
  • He spent part of each day working on the charkha (spinning wheel) and encouraged other nationalists to do likewise.
  • His new appearance i.e., shaved head and wearing a loincloth, came to symbolise asceticism and abstinence – the qualities he had in opposition to the consumerist culture of the modem world.

Question 2.
How was Mahatma Gandhi perceived by the peasants?
Solution :
India is a country of villagers and vast number of Indians are engaged in farming. Mahatma Gandhi knew that during freedom struggle his focus was to address the issues of farmers. He dressed like farmers. His involvement in Indian politics began in Champaran when he successfully resolved the issues of farmers. He stood for farmers against excesses of the British government like high taxes and oppressive tax collections.
Apart from all the above, mystery also surrounded the personality of Mahatma Gandhi. Many believed he was endowed with supernatural powers. Stories spread that those who spoke ill of Mahatma Gandhi suffered natural calamities.
Thus, farmers perceived Mahatma Gandhi as their saviour and still many believed he was bestowed with the power to perform miracles.

Question 3.
Why did the salt laws become an important issue of struggle ?
Solution :

  1. The salt laws became an important issue of stmggle because these laws gave the state a monopoly in the manufacture and sale of salt.
  2. For in every Indian household, salt was indispensable, yet people were forbidden from making salt even for domestic use, compelling them to buy from shops at a high price.
  3. The salt tax at times was even fourteen times its value.
  4. According to Gandhiji, the government not only prevented the public from manufacturing but also destroyed what nature manufactured without effort. The salt officers were posted for carrying on destruction of natural salt.
  5. Gandhiji stated that the salt monopoly was a fourfold curse :
    • It deprived the people of a valuable easy village industry,
    • It involved wanton destruction of property that nature produced in abundance,
    • Its destruction meant more national expenditure, and
    • Tax of more than 1000 per cent was exacted from a starving people.

Question 4.
Why are newspapers an important source for the study of the national i movement ?
Solution :
Newspapers, published in English as well as in the different Indian languages are important contemporary sources because they tell us about daily movements of leaders. They report on their activities and their views. Newspapers publish the views of the ordinary people in different parts of the country and the ways in which they participate in the various movements. The newspapers tell us about the objectives of the people and their expectations from their leaders. The newspapers publish all types of views which are generally different from each other. For example, a newspaper published in London gave the view point and reaction of the British public while an Indian newspaper gave the reaction of the people of India. Thus, newspapers are an important source for the study of the national movement.

Question 5.
Why was the charkha chosen as a symbol of nationalism?
Solution :
Gandhiji used to work on charkha. He made it a symbol of our freedom movement. Following are the reasons for making it the symbol of our freedom struggle.
(a) Charkha symbolised manual labour.
(b) Gandhiji wanted to attach respect to manual labour. On charkha people worked with their own hand.
(c) Charkha was a low investment product hence anyone can afford it. It was a boost to the small scale industries.
(d) Charkha as it dignified manual labour. It also promoted the culture of doing one’s own work. It would also strike at the root of caste system.
(e) Charkha was used as tool to keep British imported clothes. Thus, Charkha became a symbol of Indian nationalism.

Question 6.
How was non-cooperation a form of protest?
Solution :
Non-cooperation was a form of protest in the following ways :

  1. Indians were asked to adhere to a “renunciation of all voluntary association with the government to end colonialism”.
  2. Gandhiji had joined hands with the Khilafat Movement to restore the Caliphate, a symbol of Pan-Islamism which had been abolished. It was also hoped that Britain would impose a harsh treaty on Turkey after its defeat in World War I.

Thus, it was a protest against the British policies in India and towards Turkey. Gandhiji hoped that if non-cooperation was effectively carried out, India would win Swaraj within a year.

Question 7.
Why were the dialogues at the Round Table Conference inconclusive?
Solution :
The dialogues at the Round Table Conference were inconclusive due to the following factors :

  1. The First Conference was held in November 1930 when the Civil Disobedience Movement was being organised by the Congress. So, none of its leaders was present in the conference and without Congress participation it could not succeed.
  2. Second Round Table Conference was held in the latter part of 1931. Gandhiji represented as the sole representative of

Congress. But his representation was challenged by the Muslim League, the Princes, and B.R. Ambedkar.
Under these circumstances, the Conference was inconclusive and could not take any decision.

Question 8.
In what way did Mahatma Gandhi transform the nature of the national movement?
Solution :
Before Gandhiji came to India, the national movement was limited to few sections of society. During the Swadeshi Movement of 1905-07, Bal Gangadhar Tilak, Bipin Chandra Pal and Lala Lajpat Rai tried to make it an all-India phenomenon but even then the participation of ordinary people remained limited. In his speech at Banaras in February, 1916, even Gandhi said that Indian nationalism was an elite phenomenon – a creation of lawyers, doctors and landlords. He reminded that the peasants and workers were not represented there. He desired to make Indian nationalism more properly representative of the Indian people as a whole. And thereafter whenever he got a chance he tried to implement his desire into action. Thus, in 1917 and 1918, he took initiatives at Champaran, Ahmedabad and Kheda which marked Gandhiji as a nationalist with a deep sympathy for poor.

In 1919, he called for a countrywide campaign against the “Rowlatt Act”. The campaign in the Punjab led to Jallianwala Bagh massacre. This satyagraha made Gandhiji a truly nationalist leader. Gandhiji was encouraged by the success of these satyagrahas and decided to start “non¬cooperation” movement which totally changed the nature of the national movement because it was the first mass movement in which all classes of people — students, lawyers, peasants, etc. took part. Thus, by 1922 he had transformed Indian nationalism, thereby redeeming the promise he made in his BHU speech of February 1916. It was no longer a movement of professionals and intellectuals but of hundreds of thousands of peasants, workers and artisans.

Question 9.
What do private letters and autobiographies tell us about an individual? How are these sources different from official accounts ?
Solution :
(a)

  • Private letters give us a glimpse of individual’s thoughts.
  • In letters, a person expresses his anger and pain, his dismay and anxiety, his hopes and frustrations in ways in which he may not express himself in public statements.
  • Sometimes an individual cannot express his opinion in letters due to fear that a letter may be printed in future.

(b)

  • Autobiographies give us an account of the past of the individual. It is often rich in human detail.
  • Autobiographies tell us what an individual recollect from his memory. It could be important from the point of view of an individual.

(c) These sources – private letters and autobiographies – are different from official accounts because private letters and autobiographies are written according to the wishes of an individual. On the other hand, official accounts are written while performing official duty. These represents the view point of the government. For example, the fortnightly reports that were prepared by the Home Department were based on police information and expressed what the higher officials saw or wanted to believe.

We hope the NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond help you. If you have any query regarding NCERT Solutions for Class 12 History Chapter 13 Mahatma Gandhi and the Nationalist Movement Civil Disobedience and Beyond, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism

NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism

NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism part of NCERT Solutions for Class 12 Physics. Here we have given. NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism

Board CBSE
Textbook NCERT
Class Class 12
Subject Physics
Chapter Chapter 4
Chapter Name Moving Charges and Magnetism
Number of Questions Solved 28
Category NCERT Solutions

Question 1.
A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the center of the coil?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 1
Question 2.
A long straight wire carries a current of 35 A. What is the magnitude of the Held B at a point 20 cm from the wire ?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 2

Question 3.
A long straight wire in the horizontal plane carries a current of 50 A in the north to south direction. Give the magnitude and direction of R at a point 2.5 m east at the wire.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 3

Question 4.
A horizontal overhead power line carries a current of 90A in the east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 4
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 4.1

Question 5.
What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30° with the direction of a uniform magnetic field of 0.15 T?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 6

Question 6.
A 3.0 cm wire carrying a current of 10A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?
Answer:
I = 10 A, B = 0.27 T
1 = 3cm = 0.3m
and θ = 90°
F = BI 1 sin θ
=0.27×10 × 0.03 × sin90°
= 0.27×10 x 0.03 x 1
= 8.1 × 10-2N.

Question 7.
Two long and parallel straight wires A and B carrying currents of 8*0 A and 5*0 A in the same direction are separated by a distance of 4-0 cm. Estimate the force on a 10 cm section of wire A.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 7

Question 8.
A closely wound solenoid 80 cm long has 5 layers of windings of 400 turns each. The diameter of the solenoid is 1.8 cm. If the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near its center.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 8

Question 9.
A square coil of side 10 cm consists for 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30° with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?
Answer:
N = 20, A = 100 x 10-4 m2
I = 12 A
B = 0.8 T
θ = 30°
Torque, τ = NI(\(\bar { A }\) x \(\bar { B }\))
= 20 x 12 x 100 x 10-4 x 0.8 x sin 30°1
= 20 x 12 x 100 x 10-4 x 0.8 x \(\frac { 1 }{ 2 }\)
= 0.96 Nm

Question 10.
Two moving .coil meters, M1and M2 has the following particulars:
R1 = 10 Ω, N1 = 30, A1= 3.6 x 10-3m2, B1= 0.25 T
R2 = 14 Ω, N2 = 42, A2 = 1.8 x 10-3 m2, B2 = 0.50 T (The spring constants are identical for the two meters). Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1.
Answer:
Using Current sensitivity = NBA/k
For M1 Current Sensitivity
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 9
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 10
Question 11.
In a chamber, a uniform magnetic field of 6.5G (1G = RHT) is maintained. An electron is shot into the field with a speed of 4.8 x 106 ms-1 normal to the field. Explain why the path of the electron is a circle. Determine the radius of the circular orbit,
(e =1.6 x 10-19 C, m = 9.1 x 10-31 kg).
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 11

Question 12.
In Exercise 4.11 obtain the frequency of revolution of the electron in its circular orbit. Does the answer depend on the speed of the electron? Explain.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 12

Question 13.
(a) A circular coil of 30 turns and radius 8-0 cm carrying a current of 6-0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60° with the normal of the coil. Calculate the magnitude of the counter-torque that must be applied to prevent the coil from turning.
(b) Would your answer change, if the circular coil in (a) were replaced by a planar toil of some irregular shape that encloses the same area? (All other particulars are also unaltered)  (C.B.S.E. 1998 C )
Answer:
(a) Using τ = NBIA sin 9, we get
τ= 30 X 1 x 6 x n (8 X 10-2)2 sin 60
= 180 x it (8 x 10-2)2 0.866
= 3.13 N m
The magnitude of the counter-torque is 3 .13 N m
(b) Answer will not change because torque does not depend upon the shape of the coil provided it encloses the same area.

Question 14.
Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A: coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their center.
Answer:
For Coil X
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 13
Question 15.
A magnetic field of 100 G (1 G = 10-4 T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about 10-3 m2. The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns m-1. Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 14
We may take I = 10 A and n = 800. The given solenoid may have a length of 50 cm having 400 turns and area of cross-section = 5 x 10-3m2 (five times the given value.)

Question 16.
For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its center is given by,
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 15
(a) Show that this reduces to the familiar result for field at the center of the coil.
(b) Consider two parallel co-axial circular coils of equal radius R, and number of turns N, carrying equal currents in the same direction, and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small as compared to R, and is given by,
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 16
(Such an arrangement to produce a nearly uniform magnetic field over a small region is known as Helmholtz coils.)
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 17
(b) Let there be two coils as mentioned in the statement. The magnetic field in a small region of length 2d about the mid-point of the space between the two coils is given by,
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 18
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 19
Question 17.
A toroid has a core (non-ferromagnetic) of inner radius 25 cm and outer radius 26 cm, around which 3500 turns of a wire are wound. If the current in the wire is 11 A, what is the magnetic field
(i) outside the toroid
(ii) inside the core of the toroid, and
(iii) in the empty space surrounded by the toroid?
Answer:
(i) Zero
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 20

Question 18.
Answer the following questions:
(a) A magnetic field that varies in magnitude from point to point but has a constant direction (east to west) is set up in a chamber. A charged particle enters the chamber and travels undeflected along a straight path with constant speed. What can you say about the initial velocity of the particle?

(b) A charged particle enters an environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction and comes out of it following a complicated trajectory. Would its final speed equal the initial speed if it suffered no collisions with the environment?

(c) An electron travelling west to east enters a chamber having a uniform electrostatic field in the north to south direction. Specify the direction in which a uniform magnetic field should be set up to prevent the electron from deflecting from its straight-line path.
Answer:
(a) The force on a charged particle moving inside the magnetic field is given by
\({ \vec { F } }_{ m }=q(\vec { v } \times \vec { B } )\)
The force on the charged particle coil bd zero (will remain undeflected), if v x B is zero. Therefore, either the initial velocity v is parallel or anti-parallel to the magnetic field B.

(b) The magnetic field exerts force on the charged particle, which is always perpendicular to its motion and hence does no work. Therefore, charged particle will have its final speed equal to its initial speed, provided it suffered no collision with the environment.

(c) Under the action of the electrostatic field, the electron will be deflected towards north (towards the positive plate). It will remain undeflected if the force due to the magnetic field is towards south. As the velocity: y of the electron is from west to east, the expression for the magnetic Lorentz force i.e. \({ \vec { F } }_{ m }=-e(\vec { v } \times \vec { B } )\) it tells that the magnetic field \(\vec { B } \) should be applied along the vertical and in downward direction. The direction of the magnetic field may be found by applying Fleming’s left-hand rule.

Question 19.
An electron emitted by a heated cathode and accelerated through a potential difference of 2.0 kV, enters a region with uniform magnetic field of 0.15 T. Determine the trajectory of the electron if the field (a) is transverse to its initial velocity, (b) makes an angle of 30° with the initial velocity.
Answer:
K.E, acquired by electron while passing through V
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 21
(b) When electron moves with velocity r making an angle of 30° with the direction of magnetic field, then r cos θ is
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 22

Question 20.

A magnetic field set up using Helmholtz coils (described in Exercise 4.16) is uniform in a small region and has a magnitude of 0.75 T. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (single species) charged particles all accelerated through 15 kV enters this region in a direction perpendicular to both the axis of the coils and the electrostatic field. If the beam remains undeflected when the electrostatic field is 9.0 x 105 V m-1, make a simple guess as to what the beam contains. Why is the answer not unique.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 23
The given particle may be deutron.
The result is not unique because this e/m ratio can be true for He+ + , Li + + + etc.

Question 21.
A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires.”
(a) What magnetic field should be set up normally to the conductor in order that the tension in the wires is zero?
(b) What will be the total tension in the wires if the direction of current is reversed keeping the magnetic field the same as before? (Ignore the mass of the wires.) g = 9.8 ms-2.
Answer:
(a) The tension in the wire is zero if the force on the current-carrying wire due to current is equal and opposite to the weight of the wire. This is, BIl= mg
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 24
(b) In case the current is reversed, the tension is equal to the force acting on the wire due to the magnetic field plus the weight of the wire. This is,
T = BlL + mg
= 0.26 x 5 x 0.45 + 60 x 10-3 x 9.8
= 1.18 N.

Question 22.
The wires which connect the battery of an automobile to its starting motor carry a current of 300 A (for a short time). What is the force per unit length between the wires if they are 70 cm long and 1.5 cm apart? Is the force attractive or repulsive (H.S.E.B.2001)
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 25
Since the currents in two wires are in opposite directions so the force is repulsive.

Question 23.
A uniform magnetic field of 1.5 T exists in a cylindrical region of a radius 10.0 cm, its direction parallel to the axis along east to west. A wire carrying a current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,
(a) the wire intersects the axis,
(b) the wire is turned from N-S to the northeast-northwest direction?
(c) the wire in the N-S direction is lowered from the axis by a distance of 6.0 cm?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 26

NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 27
Question 24.
A uniform magnetic field of 3000 G is established along the positive z-direction. A rectangular loop of sides 10 cm and 5 cm carries a current of 12 A. What is the torque on the loop in the different cases shown in Figure? What is the force on each case? Which case corresponds to stable equilibrium?
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 28
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 29
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 30

Question 25.
A circular coil of 20 turns and a radius of 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the
(a) total torque on the coil,
(b) the total force on the coil,
(c) average force on each electron in the coil due to the magnetic field?
(The coil is made of copper wire of cross-sectional area 10-5 m2, and the free electron density in copper is given to be about 1029 m3)
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 31

Question 26.
A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its center) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with an appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? g = 9.8 ms-2.
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 32

Question 27.
A galvanometer coil has a resistance of 12 Q and the meter shows full-scale deflection for a current of 3 mA. How will you convert the meter into a voltmeter of range 0 to 18 V?
Answer:
Here 1=3 mA = 3 x 10-3 A
Galvanometer resistance, G = 12 Ω The galvanometer can be converted into the voltmeter of range 0 to V (here V = 18 V) by connecting a high series resistance R given
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 33

Question 28.
A galvanometer coil has a resistance of 15Ω and the meter shows full-scale deflection for a current of 4 mA. How will you convert the meter into an ammeter of range 0 to 6?
Answer:
NCERT Solutions for Class 12 Physics Chapter 4 Moving Charges and Magnetism 34

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NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travellers Perceptions of Society

NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travelers Perceptions of Society are part of NCERT Solutions for Class 12 History. Here we have given NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travellers Perceptions of Society.

Board CBSE
Textbook NCERT
Class Class 12
Subject History
Chapter Chapter 5
Chapter Name Through the Eyes of Travelers Perceptions of Society
Number of Questions Solved 9
Category NCERT Solutions

NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travellers Perceptions of Society

Question 1.
Write a note on the Kitab-ul-Hind.
Solution :

  1. The Kitab-ul-Hind is written in Arabic and is simple and lucid.
  2. It has 80 chapters on subjects such as religion, and philosophy, festivals, astronomy, alchemy, manners and customs, social life, weights and measures, iconography, laws and metrology.
  3. Al-Biruni adopted a distinctive structure in each chapter, beginning with a question, following this up with a description based on Sanskritic traditions, and concluding with a comparison with other cultures. This almost geometric structure is remarkable for its precision and predictability.
  4. He probably intended his work for peoples living along the frontiers of the subcontinent.

Question 2.
Compare and contrast the perspectives from which Ibn Battuta and Bernier wrote their accounts of their travels in India.
Solution :
Both have written them accounts in their different prospectives. While Ibn Battuta describe everything that impressed and excited him because of his novelty, Bernier had followed a different intellectual tradition. He wrote whatever he saw in India.
Bernier wanted to pin point the weakness of the Indian society and considered the Mughal India Inferior to European society. In his description Ibn Battuta recorded his observation about new culture, people, believes and values.

Question 3.
Discuss the picture of urban centres that emerges from Bernier’s account.
Solution :
During the seventeenth century, about 15 per cent of the population in India lived in cities. This was higher than the urban population in Western Europe in the same period. In spite of this Bernier described Mughal cities as “Camp towns”. These towns owed their existence, and depended for their survival on the imperial camp. He believed that these camp towns came into existence when the imperial court moved in and rapidly declined when it moved out. He stated that these “camp towns” did not have viable social and economic foundations. They were dependent on imperial patronage.

The above picture of urban centres that emerges from Bernier’s account does not seem to be correct because it is an oversimplified picture. There were all kinds of urban centres or towns i.e., manufacturing towns, trading towns, port towns, sacred centres and pilgrimage towns.

Question 4.
Analyse the evidence for slavery provided by Ibn Battuta.
Solution :
Travellers who left written accounts, sometimes took special inequalities for granted as a “natural” state of affairs. For example, is the evidence for slavery provided by Ibn Battuta that is as given below :

  1. Slaves were openly sold in markets, like any other commodity and were regularly exchanged as gifts.
  2. When Ibn Battuta reached Sind, he purchased “horses, camels and slaves” as gifts for Sultan Muhammad bin Tughlaq.
  3. When he reached Multan, he presented the governor with, “a slave and horse together with raisins and almonds”.
  4. Muhammad bin Tughlaq, informs Ibn Battuta, was so happy with the sermon of a preacher named Nasiruddin that he gave him “a hundred thousand tankas (coins) and two hundred slaves”.
  5. According to Ibn Battuta’s accounts there were female slaves in the service of the Sultan. They were experts in music and dance. Female slaves were also employed by the Sultan to keep a watch on his nobles.
  6. Slaves were generally used for domestic labour, particularly for carrying women and men on palanquins or dola.

Question 5.
What were the elements of the practice of sati that drew the attention of Bernier ?
Solution :
Bernier chose the practice of sati for detailed description. The elements of the practice of sati that drew the attention of Bernier were that while some women seemed to embrace death cheerfully, others were, forced to die. For example at Lahore, he saw a most beautiful young widow sacrificed. She was hardly twelve years of age and was forced by the Brahmanas and others towards the pyre and was burnt alive.

Question 6.
Discuss Al-Biruni’s understanding of the caste system.
Solution :
Al-Biruni’s description of the caste system in India was as given below :

  1. He tried to explain the caste system by looking for parallels in other societies. For example, he noted that in Ancient Persia, there were four categories i.e., knights and princes; monks, fire-priests and lawyers; physicians, astronomers and other scientists; and finally, peasants and artisans. Thus, he stated that social divisions were not unique to India. He, however, pointed out that within Islam, Ml men were considered equal, differing only in their observance of piety.
  2. He accepted the Brahmanical description of the caste system but disapproved of the notion of pollution. The conception of social pollution was, according to him, contrary to the laws of nature.

Thus, Al-Biruni’s understanding of the caste system was deeply influenced by his study of normative Sanskrit texts which laid down the rules governing the system from the point of view of the Brahmanas.

Question 7.
Do you think Ibn Battuta’s account is useful in arriving at an understanding of life in contemporary urban centres? Give reasons for your answer.
Solution :
Battuta’s observation about the cities of India.
(i)  According to him, Indian cities had many exciting opportunities and are useful for those who had the necessary drive, skill and resources.
(ii) The Indian cities were prosperous and densely populated.
(iii) These cities had colourful market trading in different kinds of goods.
(iv) Delhi was the largest city of India and had a lot of population. Daultabad was an another important city of India which challenged Delhi in size.
(v) The cities were not only the centre of economic transactions but also the centres of! social and cultural activities.
(vii) Most of the bazars in the cities had temple and mosques.
(viii) Cities also had fixed places for public performances by dancer, musicians and singer. He found that many towns derived their wealth and prosperity through the appropriation of surplus from villages.
(ix) Indian goods were in great demand in west Asia and South-east Asia. So the artisans and merchants earned huge profit.

Question 8.
Discuss the extent to which Bernier’s account enables historians to reconstruct contemporary rural society.
Solution :
Bernier’s account does not enable historians much to reconstruct contemporary rural society. His accounts contain discussions trying to place the history of the Mughals within some sort of a universal framework. He constantly compared Mughal India with contemporary Europe, generally emphasising the superiority of the latter.
His description of rural society was far from truth. For example, he thought that in the Mughal Empire, the Empire owned all the land and distributed it among his nobles. This had disastrous consequences for the economy and society. Owning to crown ownership of land, argued Bernier, landholders could not pass on their land to their children. So, they were averse to any long-term investment in the sustenance and expansion of production. This had resulted in uniform ruination of agriculture, excessive oppression of peasantry and a continuous decline in the living standards of all sections of society, except the ruling aristocracy. He also stated that there was no middle state in India.

The above description does not give us a true picture of rural society. None of the Mughal official document suggest that the state was the sole owner of land. Abul Fazl describes the land revenue as “remunerations of sovereignty”. In fact, during the sixteenth and seventeenth centimes, rural society was characterised by considerable social and economic differentiation. At one end were the big zamindars and on the other were the “untouchable” landless labourers. In between was the big peasant who used hired labour and engaged in commodity production, and the smaller peasant who could barely produce for his subsistence.

Question 9.
Read this excerpt from Bernier :
Numerous are the instances of handsome pieces of workmanship made by persons destitute of tools, and who can scarcely be said to have received instruction from a master. Sometimes they imitate so perfectly articles of European manufacture that the difference between the original and copy can hardly be discerned. Among other things, the Indians make excellent muskets, and fowling-pieces, and such beautiful gold ornaments that it may be doubted if the exquisite workmanship of those articles can be exceeded by any European goldsmith. I have often admired the beauty, softness, and delicacy of their paintings.

List the crafts mentioned in the passage. Compare these with the descriptions of artisanal activity in the chapter.
Solution :
(a) The following crafts have been mentioned in the passage :

  • muskets;
  • fowling-pieces;
  • gold ornaments;
  • paintings.

(b) There were imperial Karkhanas or workshops for the artisans where embroiderers, goldsmiths, painters, varnishers, joiners, turners, tailors and shoe-makers, manufacturer of silk, brocade and fine muslins were employed. They worked the whole day and in the evening they returned to their homes. The artisans were employed in manufacturing carpets, gold and silver cloths and various sorts of silk and cotton goods. Bernier also stated that the Indian artisans were expert in copying goods that it was difficult to differentiate between the original and the duplicate.

We hope the NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travellers Perceptions of Society help you. If you have any query regarding NCERT Solutions for Class 12 History Chapter 5 Through the Eyes of Travellers Perceptions of Society, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements

Class 12 Chemistry NCERT Solutions for Chapter 7 The p-Block Elements is the best guide for the students appearing for boards and competitive exams. The solutions contain answers to the questions provided in the textbook. These help in strengthening all the concepts related to chapter 7 that help in better preparations.

NCERT Solutions not only help the students appearing in different boards but also the one’s appearing in the competitive exams. The students can practice the solutions provided by the subject experts.

Board CBSE
Textbook NCERT
Class Class 12
Subject Chemistry
Chapter Chapter 7
Chapter Name The p-Block Elements
Number of Questions Solved 74
Category NCERT Solutions

NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements

Class 12 Chemistry Chapter 7 explains the p block elements and their properties, The elements in group 15, 16 and 17 are discussed along with their properties. Various concepts such as electronegativity, chemical and physical properties, ionization therapy, etc. are discussed in detail.

This chapter is important from examination perspective and the students are advised to go through the NCERT Solutions for better practice. The solutions are provided along with the diagrams for better understanding.

NCERT IN-TEXT QUESTIONS

Question 1.
Why are pentahalides more covalent than trihalides in the members of the nitrogen family?
Answer:
The electronic configuration of the elements of nitrogen family (group 15) is ns2p3. Because of the inert pair effect, the valence s-electrons cannot be released easily for the bond formation. This means that the elements can form trivalent cation (E3+) by releasing valence p-electrons while it is difficult to form pentavalent cation (E5+). Under the circumstances, if all the five valence electrons are to be involved in the bond formation, the compounds showing pentavalency or +5 oxidation state must be of covalent nature. This is particularly the case in the higher members (Sb, Bi) of the family where the inert pair effect is quite prominent.

Question 2.
Why is BiH3 the strongest reducing agent amongst all the hydrides of Group 15 elements?
Answer:
This is because as we move down the group, the size increases, as a result, length of E-H bond increases and its strength decreases, so that the bond can be broken easily to release H2 gas. Hence, BiH3 is the strongest reducing agent.

Question 3.
Why is N2 less reactive at room temperature?
Answer:
In the nitrogen molecule (N2), two atoms of nitrogen are linked by triple bond (N = N). Due to small atomic size of the element (atomic radius = 70
pm), the bond dissociation enthalpy is very high (946 kJ mol1). This means that it is quite difficult to cleave or break the triple bond at room temperature. As a result, N2 is less reactive at room temperature.

Question 4.
Mention the conditions required for the maximum yield of ammonia.
Answer:
In Haber’s process, ammonia is formed by the following reaction.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 1
According to Le-chatelier’s principle, the favourable conditions for the maximum yield of ammonia are :
(i) Low temperature : But optimum temperature of 700 K is necessary to keep the forward reaction in progress.
(ii) High pressure : Pressure to the extent of about 200 atm is required.
(iii) Catalyst & promoter : In order to achieve the early attainment of equilibrium, iron oxide acts as catalyst. Along with that; K2O, Al2O3 or Mo metal may act as the promoter to increase the efficiency of the catalyst.

Question 5.
How does ammonia react with blue solution having Cu2+ ions ?
Answer:
When ammonia gas is passed through blue solution containing Cu2+ ions to give a soluble complex with deep blue colour.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 2

Question 6.
What is the covalency of nitrogen in N2O5?
Answer:
The covalent structure of nitrogen pentoxide (N2O5) is given. Since the nitrogen atom has shared four electron pairs, its covalency is four in the molecule of N2O5.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 3

Question 7.
Bond angle in PH4+ is higher than that in PH3. Why?
Answer:
P in PH3 is sp3-hybridized with 3 bond pairs and one lone pair around P. Due to stronger lp-bp repulsions than bp-bp repulsions, tetrahedral angle decreases from 109°28′ to 93.6°. As a result, PH3 is pyramidal. In PH4+, there are 4 bp’s and no lone pair. As a result, there are only identical bp-bp repulsions so that PH4+ assumes tetrahedral geometry and the bond angle is 109°28′.Hence, bond angle of PH4+ > bond angle of PH3

Question 8.
What happens when white phosphorus is heated with concentrated NaOH solution in an inert atmosphere of CO2?
Answer:
A mixture of sodium hypophosphite and phosphine gas is formed upon heating the reaction mixture in an inert atmosphere.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 4

Question 9.
What happens when PCl5 is heated?
Answer:
Upon heating, PCl5 dissociates to give molecules of PCl3 and Cl2. Actually, the two P—Cl (a) bonds with more bond length break away from the molecule leaving three P— Cl(e) bonds attached to the central P atom since these are more firmly linked
PCl5 \(\underrightarrow { heat } \) PCl3 + Cl2
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 5

Question 10.
Write the balanced equation for the hydrolytic reaction of PCl5 in heavy water.
Answer:
With heavy water (D2O) ; phosphorus pentachloride (PCl5 reacts as follows :
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 6

Question 11.
What is the basicity of H3PO4 ?
Answer:
The acid is tribasic since it has three P—OH bonds which can release H+ ions.

Question 12.
What happens when phosphorus acid (H3PO3) is heated ? (C.B.S.E. 2008)
Answer:
In phosphorus acid (H3PO3), central atom P is in +3 oxidation state. Upon heating, it gives a mixture PH 3 (P in -3 oxidation state) and H3PO4 (P in +5 oxidation state). This means that phosphorus acid undergoes disproportionation reaction.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 7

Question 13.
List the important sources of sulphur.
Answer:
Combined sulphur exists as sulphates, such as gypsum, epsom, baryte and sulphides such as galena, zinc blende, copper pyrites, etc. Traces of sulphur occur as hydrogen sulphide in volcanoes. Few organic materials like eggs, proteins, garlic, onion, mustard, hair and wool contain sulphur. 0.03 – 0.1% sulphur is present in the earth’s crust.

Question 14.
Write the order of the thermal stability of the hydrides of group 16 elements.
Answer:
The order of thermal stability of hydride is :
H2O > H2S > H2Se > H2Te
This is related to the bond dissociation enthalpies of the E—H bonds where E stands for the element.
E—H bond :                                           O—H S—H Se—H Te—H
Bond dissociation enthalpy : (kJ mol-1) 463    347      276  238
Based on bond dissociation enthalpy, H2O is maximum stable thermally while H2Te is the least stable.

Question 15.
Why is H2O a liquid and H2S a gas?
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 8
In H2O, the electronegativity difference between 0(3·5) and H(2·1) is more than difference between S(2·5) and H(21) in H2S. As a result, O—H bond is more polar than S—H bond. This leads to inter molecular hydrogen bonding in H20 molecules while it is almost absent in the molecules of H2S. The H2O molecules get associated and consequently exist as liquid (water). The association in H2S molecules is negligible and it exists as a gas at room temperature.

Question 16.
Which of the following does not react with oxygen directly? Zn, Ti, Pt, Fe
Answer:
Pt being a noble metal does not react with oxygen directly. In contrast, Zn, Ti and Fe are active metals and hence they react with oxygen directly to form their oxides.

Question 17.
Complete the following reactions :
(i) C2H4 + O2
(ii) Al + O2
Answer:
(i) C2H4 + 3O2 \(\underrightarrow { heat } \) 2CO2 + 2H2O
(ii) 4Al + 3O2 \(\underrightarrow { heat } \) 2Al2O3

Question 18.
Why does O3 act as a powerful oxidising agent ? (C.B.S.E. 2013)
Answer:
Upon heating, ozone (O3) readily decomposes to give molecular oxygen (O2) which is more stable along with nascent oxygen (O). The released nascent oxygen readily takes part in oxidation reactions. Therefore, ozone acts as a powerful oxidising agent.
O3 \(\underrightarrow { heat } \) O2 + O (Nascent)

Question 19.
How is ozone estimated quantitatively ?
Answer:
When ozone reacts with an excess of KI solution buffered with a borate buffer (pH = 9.2), iodine is liberated which can be titrated against standard solution of sodium thiosulphate. This is used as a method of estimation of ozone quantitatively.

Question 20.
What happens when sulphur dioxide gas is passed through an aqueous solution of Fe(III) salt ?
Answer:
The gas is a reducing agent and reduces a Fe(III) salt to Fe(II) salt.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 9

Question 21.
Comment on the nature of two S—O bonds formed in SO2 molecule. Are the two bonds in the molecule equal ?
Answer:
The two S—O bonds in the molecule are equal with bond length equal to 143 pm. This means that SO2 molecule exhibits two resonating structures as shown below.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 10

Question 22.
How is presence of SO2 detected ?
Ans.
Presence of SO2 is detected by bringing a paper dipped in acidified potassium dichromate near the gas. If the paper turns green, it shows the presence of SO2 gas.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 11

Question 23.
Mention three areas in which H2SO4 plays an important role.
Answer:
(i) It is used in the manufacture of fertilizers such as (NH4)2 SO4 , calcium superphosphate.
(ii)It is used as an electrolyte in storage batteries.
(iii)It is used in petroleum refining, detergent industry and in the manufacture of paints, pigments and dyes.

Question 24.
Write the conditions to maximise the yield of sulphuric acid by Contact process.
Answer:
Catalytic oxidation of sulphur dioxide into sulphur trioxide. Sulphur dixocide is oxidised to sulphur trioxide with air in the presence of V2O5 or platinised asbestos acting as the catalyst
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 12

Question 25.
Why is \({ K }_{ { a }_{ 2 } }\) < \({ K }_{ { a }_{ 1 } }\) for H2SO4 in water ?
Answer:
H2SO4 is a very strong acid in water largely because of its first ionisation to H3O+ and HSO4– The ionisation of HSO4 to H3O+ and SO42- is very very small. That is why, \({ K }_{ { a }_{ 2 } }\) < \({ K }_{ { a }_{ 1 } }\).

Question 26.
Considering the parameters such as bond dissociation enthalpy, electron gain enthalpy and hydration enthalpy, compare the oxidising power of F2 and Cl2.
Answer:
Fluorine is a better oxidising agent than chlorine because E°F2/F- is higher than E°Cl2/Cl- It is mainly due to low bond dissociation energy, high hydration energy and lower electron gain enthalpy, non-availability of d-orbitals in valence shell, that results in higher reduction potential of F2 than chlorine.

Question 27.
Give two examples to show the anomalous behaviour of fluorine.
Answer:
The anomalous behaviour of fluorine, the first member of the halogen family as compared to the rest of the members is due to its very small size, very high electronegativity and absence of vacant d-orbitals in the valence shell. It is supported by the following points.
(i) Fluorine shows only negative oxidation state of -1 in its compounds. The other members exhibit both positive and negative oxidation states.
(ii) Fluorine forms hexafluoride with sulphur (SF6). No other member of the family forms hexahalide with sulphur.

Question 28.
Sea is the greatest source of some halogens. Comment.
Answer:
The name halogen is a Greek Word meaning lsea salt forming’. Sea is a major source of a members of halogens particularly chlorine, bromine and iodine and they exist as the soluble salts of sodium, potassium, calcium, magnesium etc. The deposits of dried up sea water contain sodium chloride and carnallite (KClMgCl2.6H2O). Sea weeds contain nearly 0-5 percent of iodine. Similarly Chile saltpeter contains about 0-2% of sodium iodate (NaIO3).

Question 29.
Give reason for the bleaching action of Cl2.
Answer:
Bleaching by chlorine occurs in the presence of moisture. In fact, it releases nascent oxygen on reacting with HO which carries bleaching. Since the reaction cannot be reversed, the bleaching by chlorine is permanent.
Chlorine bleaches by oxidation Cl2 + H2O → HCl + HOCl → HCl + [O]
The nascent oxygen reacts with dye to make it colourless.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 13

Question 30.
Name two poisonous gases which can be prepared from chlorine gas.
Answer:
Two poisonous gases are phosgene and mustard gas.

Question 31.
Why is ICl more reactive than I2 ? (C.B.S.E. Outside Delhi 2012)
Answer:
The reactivity of ICl is due to its polar nature (I—Cl). Iodine (I2) being non-polar is comparatively less reactive chemically.

Question 32.
Why is helium used in diving apparatus?
Answer:
A mixture of helium and oxygen does not cause pain due to very low solubility of helium in blood as compared to nitrogen.

Question 33.
Balance the equation : XeF6 + H2O → XeO2F2 +HF (H.P. Board 2013)
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 14

Question 34.
Why has it been difficult to study the chemistry of radon ?
Answer:
Radon (Rn) is a radioactive element with very short half period of 3-82 days. Therefore, it becomes quite difficult to study the details about the chemistry of the element.

NCERT EXERCISE

Question 1.
Discuss the general characteristics of group 15 elements with reference to their electronic configuration, oxidation state, atomic size, ionisation enthalpy and electronegativity.
Answer:
(i) Electronic configuration: All the elements in group 15 have 5 valence electrons. Their general electronic configuration is ns2np3

(ii) Oxidation states:
All these elements have 5 valence electrons and require three more electrons to complete octets. However, gaining electrons is very difficult as the nucleus will have to attract three more electrons. This can take place only with nitrogen as it is the smallest in size and the distance between the nucleus and the valance shell is relatively small. The remaining elements of this group show a formal oxidation state of -3 in their covalent compounds.

In addition to the -3 state, N and P also show -1 and.-2 oxidation states. All the elements present in this group show +3 and +5 oxidation states. However, the stability of the +5 oxidation state decreases down the group, whereas the stability of+3 oxidation state increases. This happens because of the inert pair effect.

(iii) Ionization energy and electronegativity First ionization energy decreases on moving down a group. This is because of increasing atomic sizes. As we move down a group, electronegativity decreases, owing to an increase in size.

(iv) Atomic size:
On moving down a group, the atomic size increases. This increase in the atomic size is attributed to an increase in the number of shells.

Question 2.
Why does the reactivity of nitrogen differ from phosphorus?
Answer:
N2 exist as a diatomic molecule containing triple bond between two N-atoms. Due to the presence —of the triple bond between p  the two N-atoms, the bond dissociation energy is large (941 .4 kJ mol-1 ). As a result of this N2 is inert and unreactive whereas, phosphorus exists as a tetratomic molecule, containing P – P single bond. Due to the presence of single bond, the bond dissociation energy is weaker (213 kJmol-1 ) than N a N triple bond (941 .4 kJ mol-1 ) and moreover due to presence of angular strain in P4 tetrahedra. As a result of this, phosphorus is much more reactive than nitrogen.

Question 3.
Discuss the trends in chemical reactivity of group 15 elements.
Answer:
(a) Hydrides: The hybrids are covalent with pyramidal structures NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 43 and the central atom is sp3 hybrilised. The presence of the lone pair of electrons on the central atom distorts the geometry of the molecules and the bond angle less than that of a regular tetrahedron.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 15
(b) Halides:
Elements of group 15 form two types of halides viz. trihalides and pentahalides. The halides are predominantly basic (Lewis bases) in nature and have lone pair of electrons (central atom is sp3 hybridized). The pentahalides are thermally less stable than the trihalides.

(c) Oxides: All the elements of this group form two types of oxides ie., M2O3 and M2O5 and are called trioxides and pentoxides

Question 4.
Why does NH3 form hydrogen bonding while PH3 does not?
Answer:
The N—H bond in ammonia is quite polar on account of the electronegativity difference of N (3·0) and H (2·1). On the contrary, P—H bond in phosphine is almost non-polar because both P and H atoms have almost same electronegativity (21). Due to polarity, intermolecular hydrogen bonding is present in the molecules of ammonia but not in those of phosphine.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 19

Question 5.
How is nitrogen prepared in the laboratory? Write the chemical equations of the reactions involved.
Answer:
Laboratory preparation: Dinitrogen is prepared in the laboratory by heating a solution containing an equivalent amount of sodium nitrite and ammonium chloride.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 20

Question 6.
How is ammonia manufactured industrially?
Answer:
Ammonia is prepared on a commercial scale by Haber’s Process from dinitrogen and dihydrogen by the following chemical reaction
N2 + 3H2 ⇌ 2NH3; ∆fH° = – 46.1 kJ mon-1
Dihydrogen needed for the commercial preparation of ammonia is obtained by the electrolysis of water while dinitrogen is obtained from the liquefied air as a fractional distillation. The two gases are purified and also dried.
These are compressed to about 200 atmosphere pressure and are then led into the catalyst chamber packed with the catalyst and the promoter.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 21

Question 7.
Illustrate how copper metal gives different products on reaction with HNO3.
Answer:
Anhydrous nitric acid is colourless, fuming, and pungent-smelling liquid. However, it acquires a yellowish-brown colour in the presence of sunlight. HNO3 decomposes to give NO2 gas which dissolves and imparts its yellowish-brown colour.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 22
On strong heating, the acid decomposes to give NO2 and O2
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 23

Question 8.
Give the resonating structures of NO2 and N2O5.
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 24

Question 9.
The HNH angle value is higher than those of HPH, HAsH, and HSbH angles; why?
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 25
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 26

The above trend in the H-M-H bond angle can be explained on the basis of the electronegativity tif central atom. Since nitrogen is highly electronegative, there is high electron density around nitrogen. This causes greater repulsion between the electron pairs around nitrogen, resulting in maximum bond angle. We know that electronegativity decreases on moving down a group consequently. The repulsive interactions between the electron pairs decrease, thereby decreasing the HMH bond angle.

Question 10.
Why does R3P = O exist but R3N = O does not (R = alkyl group)?
Answer:
Nitrogen does not contain d-orbitals. As a result, it cannot expand its covalency beyond four and cannot form pπ – dπ multiple bonds. In contrast, P contains the d-orbitals, and can expand its covalency beyond 4 and can form pπ-dπ multiple bonds. Hence R3P = O exist but R3N = O does not.

Question 11.
Explain why is NH3 basic while PH3 is feebly basic in nature. (C.B.S.E. Outside Delhi 2008, 2009, Jharkhand Board 2009)
Answer:
NH3 is distinctly basic while BiH3 is feebly basic.
Nitrogen has a small size due to which the lone pair of electrons are concentrated in a small region. This means that the charge density per unit volume is high. On moving down a group, the size of the central atom increases, and the charge gets distributed over a large area decreasing the electron density. Hence the electron-donating capacity of group 15 elements hydrides decreases on moving down the group.

Question 12.
Nitrogen exists as a diatomic molecule (N2) while phosphorus a tetra-atomic molecule (P4). Why?
Answer:
Nitrogen is diatomic gaseous molecule at ordinary temperature due to its ability to form pπ – pπ multiple bonds. The molecule has one σ and two π – bonds. Phosphorus exists as discrete tetratomic tetrahedral molecules as these are not capable of forming multiple bonds due to repulsion between non-bonded electrons of the inner core.

Question 13.
Write the main difference between the properties of white and red phosphorus. (C.B.S.E. Delhi 2012)
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 27

Question 14.
Why does nitrogen show catenation properties less than phosphorus?
Answer:
The catenation properties depend upon the strength of the element-element bond. The N-N bond strength is much weaker (due to the repulsion of lone pairs on nitrogen because of its small size) than the P-P bond strength, therefore, nitrogen shows catenation less than phosphorus.

Question 15.
Give one disproportionation reaction of phosphorus acid (H3PO3).
Answer:
Upon heating to about 573 K, phosphorus acid undergoes disproportionation as follows :
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 28

Question 16.
Can PCl5 act as oxidising as well as a reducing agent? Justify.
Answer:
In general, the molecules of a substance can behave as a reducing agent if the central atom is in a position to increase its oxidation number. Similarly, they can act as an oxidising agent if the central atom is in a position to decrease its oxidation number. Now, the maximum oxidation state or oxidation number of phosphorus (P) is +5. It cannot increase the same but at the same time can decrease its oxidation number. In PCl5, oxidation number of P is already +5. It therefore, cannot act as a reducing agent. However, it can behave as an oxidising agent in certain reactions in which its oxidation number decreases. For example,
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 29

Question 17.
Justify the placement of O, S, Se, Te and Po in the same group of the periodic table in terms of electronic configuration, oxidation states and hydride formation.
Answer:
The members of the oxygen family are placed in group 16 of p-block. Their inclusion in the same group is justified on the basis of the following characteristics.
1. Electronic configuration. Members of the family have ns2p4 configuration. Their group (10 + 6) is 16.
2. Oxidation states. With exception of oxygen which exhibits -2 oxidation state in its compounds (OF2 and H2O2 are exceptions), rest of the members of the family show variable oxidation states (-2, +2, +4, +6) in their compounds.
3. Hydride formation. All the members of the family form covalent hydrides (MH2) in which the central atom is sp3 hybridised. These have angular structures and their characteristics show regular gradation.NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 30
FeS + H2SO4 (dil.) → FeSO4 + H2S
Na2Se + H2SO4 (dil.) → Na2SO4 + H2Se

Question 18.
Why is dioxygen a gas while sulphur is a solid? (C.B.S.E. Delhi 2013)
Answer:
The oxygen atom has a tendency to form pπ-pπ multiple bonding due to its small size and high electronegativity. As a result, oxygen exists as a diatomic molecule. These mol¬ecules are held together by weak van der Waal’s forces of attraction which can be easily overcome by collisions of the molecules at room temperature. Therefore, O2 is the gas at room temperature.

Sulphur, on the other hand, because of its bigger size and lower electronegativity, does not form pπ-pπ multiple bonds. Instead, it prefers to form an S-S single bond and form polyatomic complex molecules having eight atoms per molecule (S8) and have puckered ring structure. Therefore, S atoms are strongly held together and it exists as a solid.

Question 19.
Knowing the electron gain enthalpy values for O → O and O → O2- as – 141 kJ mol-1 and 702 kJ mol-1 respectively, how can you account for the formation of a large number of oxides having O2- species and not O ?
Answer:
The stability of an ionic compound depends on its lattice energy. The more the lattice energy of a compound, the more stable it will be. Lattice energy is directly proportional to the charge carried by an ion. When a metal combines with oxygen, the lattice energy of the oxide involving O2- ion is much more than the oxide involving O ion. Hence, we can say that the formation of O2- is energetically more favourable than the formation of O

Question 20.
Which aerosols deplete ozone?
Answer:
Aerosols or chlorofluorocarbons (CFC’s) such as freon (CCl2F2) deplete ozone layer by supplying chlorine-free radicals (Cl) which convert ozone into oxygen.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 31

Question 21.
Describe the manufacture of H2SO4 by Contact process.
Answer:
Sulphuric acid is manufactured by the Contact process which involves three steps :

  1. burning of sulphur or sulphide ores in air to generate SO2.
  2. conversion of SO2 to SO3 by the reaction with oxygen in the presr nee of a catalyst (V2O5), and
  3. absorption of SO3 in H2SO4 to give oleum (H2S2O7).

A flow diagram for the manufacture of sulphuric acid is shown in the figure. The SO2 produced is purified by removing dust and other impurities such as arsenic compounds. The key step in the manufacture of H2SO4 is the catalytic oxidation of SO2 with O2 to give SO3 in the presence of V2O5 (catalyst).
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 32

The reaction is exothermic, reversible and the forward reaction leads to a decrease in volume. Therefore, low temperature and high pressure are favourable conditions for maximum yield. But the temperature should not be very low otherwise rate of reaction will become slow.

In practice, the plant is operated at a pressure of 2 bar and a temperature of 720 K. The SO3 gas from the catalytic converter is absorbed in concentrated H2SO4 to produce oleum. Dilution of oleum with water gives H2SO4 of the desired concentration. In the industry, two steps are carried out simultaneously to make the process a continuous one and also to reduce the cost.

Question 22.
How is SO2 an air pollutant?
Answer:

  • It combines with water vapour present in the atmosphere to form sulphuric acid. This causes acid rain. Acid rain damages soil, plants and buildings, especially those made of marble.
  • Even in very low concentrations, SO2 causes irritation in the respiratory tract. It causes throat and eye irritation and can also affect the larynx to cause breathlessness.
  • It is extremely harmful to plants. Plants exposed to sulphur dioxide for a long time lose colour from their leaves. This condition is known as chlorosis. This happens because the formation of chlorophyll is affected by the presence of SO2.

Question 23.
Why are halogens strong oxidising agents?
Answer:
The general electronic configuration of halogens is np5, where n = 2-6. Thus, halogens need only one more e- to complete their octet and to attain the stable noble gas configuration. Also, halogens are highly electronegative with low dissociation energies and high negative electron gain enthalpies. Therefore, they have a high tendency to gain an election. Hence, they act as strong oxidizing agents.

Question 24.
Explain why does fluorine form only one oxoacid (HOF).
Answer:
The members of the halogen family with the exception of fluorine show variable oxidation states due to the availability of rf-orbitals for the bond formation. They form a number of oxoacids such as HOX, HOXO, HOXO2, and HOXO3. However, fluorine which is highly electronegative and has no rf-orbitals, forms only one oxoacid (HOF) in which its oxidation state is +1.

Question 25.
Explain why in spite of nearly the same electronegativity, nitrogen is involved in hydrogen bonding while chlorine is not.
Answer:
Both chlorine and oxygen have almost the same electronegativity values, but chlorine rarely forms hydrogen bonding. This is because in comparison to chlorine, oxygen has a smaller size and as a result, a higher electron density per unit volume.

Question 26.
Write two uses of ClO2.
Answer:
ClO2 is a strong oxidising agent. Therefore,
(i) It acts as bleaching agent for paper pulp in paper industry and in textile industry.
(ii) It acts as germicide for disinfecting water.

Question 27.
Why are halogens coloured?
Answer:
All the halogens are coloured in nature. The colour deepens with the increase in the atomic number of the element from fluorine to iodine.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 33
The cause of the colour is due to the absorption of energy from the visible light by the molecules for the excitation of outer non -bonded electrons to higher energy levels. The excitation energy depends upon the size of the atom. Fluorine has the smallest size and the force of attraction between the nucleus and electrons is very large.

Question 28.
Write the reactions of F2 and Cl2 with water.
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 34

Question 29.
How can you prepare Cl2 from HCl and HCl from Cl2? Write chemical equations only.
Answer:
(i) HCl can be oxidised to chlorine with the help of a number of oxidising agents like MnO2, KMnO4, K2Cr2O7 etc.
Mn0O2 + 4HCl → MnCl2 + Cl2 + 2H2O
(ii) Cl2 can be reduced to HCl by reacting with H2 in the presence of sunlight. The gas on passing through water dissolves to form hydrochloric acid
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 35

Question 30.
What inspired N. Bartlett for carrying out the reaction between Xe and PtF6?
Answer:
The X-ray study of the compound has shown it be a crystalline solid consisting of O2+ and (PtF6] ions. In this reaction, PtF6 has oxidised O2 to O2+ ion. Bartlett through than PtF6 should Xe to xe+ since first ionisation enthalpy of xenon (1176 kJ mol-1) is quite close to that of O2 (1180 kJ mol-1).
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 36

Question 31.
What is the oxidation state of phosphorus in the following?
(a) H3PO3
(b) PCl3
(c) Ca3P2
(d) Na3PO4
(e) POF3
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 37

Question 32.
Write balanced equations for the following :
(i) NaCl is heated with sulphuric acid in the presence of MnO2
(iii) Chlorine gas is passed into a solution of Nal in water.
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 38

Question 33.
How are xenon fluorides XeF2, XeF4 and XeF6 obtained ?
Answer:
Xenon forms three binary fluorides, XeF2, XeF4 and XeF6 by the direct reaction of elements under appropriate experimental conditions.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 39

Question 34.
With what neutral molecule is ClO isoelectronic? Is that molecule a Lewis base?
Answer:
OF2 and ClF are isoelectronic to ClO, out of which ClF is a Lewis base.

Question 35.
How are XeO3 and XeOF4 prepared?
Answer:
Preparation of XeO3. By complete hydrolysis of XeF6.
XeF6 + 3H2O → XeO3+ 6HF.
Preparation ofXeOF4. By partial hydrolysis of XeF6.
XeF6 + H2O → XeOF4+ 2HF.

Question 36
Arrange the following in the order of property indicated for each set:
(i) F2, Cl2, Br2, I2 – increasing bond dissociation enthalpy.
Answer:
Bond dissociation energy usually decreases on moving down a group as the atomic size increases. However, the bond dissociation energy of F2 is lower than that of Cl2 and Br2. This is due to the small atomic size of fluorine, Thus, the increasing order for bond dissociation energy among halogens is as follows:
I2 < F2 < Br2 < Cl2

(ii) HF, HCl, HBr, HI – increasing acid strength.
Answer:
HF < HCl < HBr < HI
The bond dissociation energy of HX molecules where X – F, Cl, Br, I, decreases with an increase in the atomic size. Since H – I bond is the weakest, HI is the strongest acid.

(iii) NH3, PH3, ASH3, SbH3, BiH3 – increasing base strength.
Answer:
BiH3 < SbH3 < AsH3 < PH3 < NH3 On moving from nitrogen to bismuth, the size of the atom increases while the electron density on the atom decreases. Thus, the basic strength decreases.

Question 37.
Which one of the following does not exist?
(i) XeOF4
(ii) NeF2
(iii) XeF2
(iv) XeF6.
Answer:
NeF2 does not exist because the element Ne(Z = 10) with 1s22s22p6 does not have vacant 2d orbitals. As such, there is no scope of any electron promotion even by a highly electronegative element.

Question 38.
Give the formula and describe the structure of a noble gas species which is isostructural with :
(i) \(IC{ l }_{ 4 }^{ – }\)
(ii) \(IB{ r }_{ 2 }^{ – }\)
(iii) \(Br{ O }_{ 3 }^{ – }\)
Answer:
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 40
(i) Structure of \(IC{ l }_{ 4 }^{ – }\). The central I atom has in all 8 electrons (7 valence electrons +1 due to negative charge). Out of these, it shares 4 electrons with four atoms of Cl and the remaining four electrons constitute two lone pairs. In all, there are six pairs. The structure of the ion must be octahedral or distorted square planar in order to minimise the forces of repulsion among the two electrons pairs. \(IC{ l }_{ 4 }^{ – }\) has (7 + 4 x 7 + 1) = 36 valence electrons and it iso-electronic and iso-structural with XeF4 (8 + 4 x 7) which has also 36 valence electrons.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 41
(ii) Structure of \(IB{ r }_{ 2 }^{ – }\).
In \(IB{ r }_{ 2 }^{ – }\) ion, the central I atom has 8 valence electrons (7 + 1). Out of these, it shares 2 electrons with two atoms of Br and the remaining 6 electrons constitute three lone pairs. In all, there are five pairs. The structure of the ion must be trigonal bipyramidal or linear in order to minimise the force of repulsion among the three lone electrons pairs. IBrf has (7 + 2 x 7 + 1) = 22 valence electrons and is isoelectronic as well as iso-structural with noble gas species XeF2 which has also 22 (8 + 2 x 7) electrons.
NCERT Solutions for Class 12 Chemistry Chapter 7 The p-Block Elements 42
(iii) Structure of \(Br{ O }_{ 3 }^{ – }\) ion. In \(Br{ O }_{ 3 }^{ – }\) ion, the central Br atom has 8 valence electrons (7 + 1). Out of these, it shares 4 with two atoms of O forming Br=0 bonds. Out of the remaining four electrons, 2 are donated to the third O atom and account for its negative charge. The remaining 2 electrons constitute one lone pair. In order to minimise the force of repulsion, the structure of \(Br{ O }_{ 3 }^{ – }\) ion must be pyramidal. \(Br{ O }_{ 3 }^{ – }\) ion has (7 + 3 x 6 + 1) = 26 valence electrons and is isoelectronic as well as iso-structural with noble gas species Xe03 which has also 26 (8 + 3 x 6) electrons.

Question 39.
Why do noble gases have comparatively large atomic sizes?
Answer:
Noble gases do not form molecules. In the case of noble gases. the atomic radii correspond to Van der Waa1s radii. On the other hand, the atomic radii of other elements correspond to their covalent radii. By definition, Yan der Waal’s radii are larger than covalent radii. It is for this reason that noble gases are very large in size as compared to other atoms belonging to the same period.

Question 40.
List the uses of neon and argon gases.
Answer:
Uses of Neon:

  • Neon lights are used for commercial advertisements.
  • It consists of a long tube fitted with electrodes at both ends.
  • On filling the tube with neon gas and passing electric discharge of about 1000 volt potential, a bright red light is produced.
  • Different colours can be obtained by mixing neon with other gases.
  • For producing blue or green light neon is mixed with mercury vapours.

Uses of Argon:

  • Like helium, it is also used to create an inert atmosphere in welding aluminium and stainless steel.
  • It is filled in electric bulbs along with 25% nitrogen.
  • It is also used in radio valves.
  • Argon alone or its mixture with neon is used in tubes for producing lights of different colours.

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