MCQ Questions for Class 12 Physics Chapter 13 Nuclei with Answers

MCQ Questions for Class 12 Physics Chapter 13 Nuclei with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 13 Nuclei with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Nuclei Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Nuclei Class 12 MCQs Questions with Answers

MCQ On Nuclear Forces Class 12 Chapter 13 Question 1.
How many electrons are contained in \(_{92}^{238}\)U nucleus?
(a) 92
(b) 146
(c) 238
(d) 0

Answer

Answer: (d) 0


Nuclear Forces Are MCQ Class 12 Chapter 13  Question 2.
Chadwick was awarded the Nobel prize in Physics in 1935 for his discovery of:
(a) electron
(b) proton
(c) neutron
(d) None of these

Answer

Answer: (c) neutron


Nuclei Class 12 MCQ Chapter 13 Question 3.
The density of a nucleus is of the order of:
(a) 1015 kg m-3
(b) 1018 kg m-3
(c) 1017 kg m-3
(d) 1016 kg m-3

Answer

Answer: (c) 1017 kg m-3


Nuclear Drop Model Assumes MCQ Class 12 Chapter 13 Question 4.
In the given reaction:
\(_{Z}^{A}\)X → \(_{Z+1}^{A}\) Y → \(_{Z-1}^{A-4}\) K → \(_{Z-1}^{A-4}\) K radioactive radiations are emitted in the sequence
(a) α, β, γ
(b) β, α, γ
(c) γ, α, β
(d) β, γ, α

Answer

Answer: (b) β, α, γ


Nuclear Force Is MCQ Class 12 Chapter 13 Question 5.
When the mass of a sample of a radioactive substance decreases, the mean life of the sample:
(a) increases
(b) decreases
(c) remain unchanged
(d) first decreases then increases

Answer

Answer: (c) remain unchanged


When the mass of a sample of a radioactive substance decreases, the mean life of the sample:

MCQ On Nuclei Class 12 Chapter 13 Question 6.
Alpha particle emitted from a radioactive material are:
(a) Helium nuclei
(b) Hydrogen nuclei
(c) Lithium nuclei
(d) None of the above

Answer

Answer: (a) Helium nuclei


Nuclei MCQ Class 12 Chapter 13 Question 7.
The half life of a radioactive decay is n times its mean life, n is equal to:
(a) 0.6930
(b) 0.0693
(c) \(\frac{1}{0.6930}\)
(d) 0.3070

Answer

Answer: (a) 0.6930


MCQ On Atoms And Nuclei Class 12 Chapter 13 Question 8.
Rutherford is the unit of:
(a) radioactivity
(b) energy
(c) photoelectric current
(d) magnetic field

Answer

Answer: (a) radioactivity


Chapter 13 Physics Class 12 MCQs Question 9.
According to Yukawa’s theory of nuclear forces, the origin of nuclear force between nucleons is due to the exchange of
(a) mesons
(b) photons
(c) electrons
(d) positrons

Answer

Answer: (b) photons


Question 10.
An electron and a positron each having a mass equivalent to 0.53 MeV annihilate each other and produce a photon. The minimum energy of the photon is.
(a) 0.53 MeV
(b) 1.06 MeV
(c) 2.12 MeV
(d) zero

Answer

Answer: (b) 1.06 MeV


Question 11.
The wavelength of y-rays is of the order of:
(a) 10-8 m
(b) 10-5 m
(c) 10-11 m
(d) 10-22 m

Answer

Answer: (c) 10-11 m


Question 12.
Radius of 1st Bohr orbit is a0 (= 0.529 Å) What is the radius of 2nd Bohr orbit?
(a) 10-8
(b) 2a0
(c) 4a0
(d) 2√2a0

Answer

Answer: (c) 4a0


Question 13.
The ground state energy of Hydrogen atom is -13.6 eV. What is the potential energy of electron in this state?
(a) 0 eV
(b) -13.6 eV
(c) 2 eV
(d) -27.2 eV

Answer

Answer: (d) -27.2 eV


Question 14.
Which of the following atoms has the lowest ionization potential?
(a) \(_{8}^{8}\)O
(b) \(_{7}^{14}\)N
(c) \(_{55}^{133}\)Cs
(d) \(_{18}^{40}\)Ar

Answer

Answer: (c) \(_{55}^{133}\)Cs


Question 15.
The Bohr model of atom:
(a) assumes that the angular momentum of electron is quantized
(b) uses Einstein’s photoelectric equation
(c) predicts continuous emission spectra for atoms
(d) predicts the same emission spectra for all types of atoms

Answer

Answer: (a) assumes that the angular momentum of electron is quantized


Question 16.
Nuclear force is:
(a) strong, short range and charge independent force
(b) charge independent, attractive and long range force
(c) strong, charge dependent and short range attractive force
(d) long range, change dependent and attractive force

Answer

Answer: (a) strong, short range and charge independent force


Question 17.
If radio active nuclei emits β-particle, then mass-number:
(a) increased by 1 unit
(b) decreases by 1 unit
(c) increases by 2 unit
(d) decreases by 2 unit

Answer

Answer: (a) increased by 1 unit


Question 18.
An alpha particle is emitted from \(_{88}\)Ra\(^{226}\), then the product nuclei has:
(a) Z = 84, A = 224
(b) Z = 86, A = 224
(c) Z = 86, A = 222
(d) Z = 82, A = 222

Answer

Answer: (c) Z = 86, A = 222


Question 19.
X-ray was discovered by :
(a) Becqueral
(b) Marie curie
(c) Roengton
(d) Vanlaw

Answer

Answer: (c) Roengton


Question 20.
Fusion takes place at high temperature because:
(a) Atom are ionised at high temperature
(b) Molecules break up at high temperature
(c) Nuclei break up at high temp.
(d) Kinetic energy is high enough to overcome repulsion between nuclei

Answer

Answer: (d) Kinetic energy is high enough to overcome repulsion between nuclei


Question 21.
The order of nuclear density is :
(a) 103
(b) 1017
(c) 106
(d) None

Answer

Answer: (b) 1017


Question 22.
The isotope generally used for the treatment of cancer is:
(a) I131
(b) Hg197
(c) O15
(d) Co60

Answer

Answer: (d) Co60


Question 23.
What percentage of radioactive substance is left after 5 half lives?
(a) 3.125%
(b) 6.25%
(c) 12.33%
(d) 31%

Answer

Answer: (a) 3.125%


Question 24.
Mass is converted into energy according to the relation:
(a) E = me²
(b) E = mgh
(c) E = \(\frac{3}{2}\)me²
(d) E = \(\frac{mgH}{c^2}\)

Answer

Answer: (a) E = me²


Question 25.
The helium atom does not contain
(a) two protons
(b) two electrons
(c) two neutrons
(d) six nucleons

Answer

Answer: (d) six nucleons


Question 26.
The more readily fissionable isotope of uranium has an atomic mass of:
(a) 234
(b) 235
(c) 236
(d) 238

Answer

Answer: (b) 235


Question 27.
Energy of electron in the 1st orbit of H-atom is:
(a) -13.6 MeV
(b) -13.6 eV
(c) -13.6 J
(d) 13.6 J

Answer

Answer: (b) -13.6 eV


Question 28.
The mass no. of a nucleus is M and its atomic no. is Z. The number of neutrons in the nucleus is :
(a) M – Z
(b) M
(c) Z
(d) M + Z

Answer

Answer: (a) M – Z


Question 29.
The phenomena of radioactivity is:
(a) Exothermic change with increase or decrease with temperature
(b) increases on applied pressure
(c) nuclear process does not depend on external factors
(d) None of these

Answer

Answer: (c) nuclear process does not depend on external factors


The phenomena of radioactivity is:

Question 30.
When one gm of mass is converted into energy, it is equal to:
(a) 103 kWh
(b)109 kWh
(c) 1010 kWh
(d) 1011 kWh

Answer

Answer: (a) 103 kWh


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 13 Nuclei with Answers Pdf free download will help you. If you have any queries regarding Nuclei CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Physics Chapter 9 Ray Optics and Optical Instruments with Answers

MCQ Questions for Class 12 Physics Chapter 9 Ray Optics and Optical Instruments with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 9 Ray Optics and Optical Instruments with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Ray Optics and Optical Instruments Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Ray Optics and Optical Instruments Class 12 MCQs Questions with Answers

Ray Optics Class 12 MCQ Question 1.
Which of-the following is not a property of light?
(a) It can travel through vacuum
(b) It has a finite speed
(c) It requires a material medium for its propagation
(d) It involve transportation energy

Answer

Answer: (c) It requires a material medium for its propagation


MCQ On Ray Optics Class 12 Question 2.
Two points P and q are situated at the same distance from a source of light but on opposite sides. The plane difference between the light waves passing through P and q will be:
(a) n
(b) 2n
(c) \(\frac{π}{2}\)
(d) zero

Answer

Answer: (d) zero


MCQ On Reflection Of Light Class 12 Question 3.
The phase difference between the electric and the magnetic field vectors in electromagnetic waves is
(a) \(\frac{π}{4}\)
(b) \(\frac{π}{2}\)
(c) π
(d) zero

Answer

Answer: (d) zero


MCQ Of Ray Optics Class 12 Question 4.
A ray of light travelling in air is incident of a glass slab. The ray gets partly reflected and partly refracted. The phase difference between the reflected and the refracted waves is :
(a) \(\frac{π}{2}\)
(b) \(\frac{π}{4}\)
(c) π
(d) zero

Answer

Answer: (c) π


Ray Optics Class 12 MCQs With Answers Question 5.
Which of the following cannot be polarised?
(a) radiowaves
(b) transverse waves
(c) sound waves
(d) X-rays

Answer

Answer: (c) sound waves


Ray Optics MCQ Questions Pdf Question 6.
Light year is the unit of:
(a) distance
(b) time
(c) intensity of light
(d) None of these

Answer

Answer: (a) distance


Ray Optics Objective Questions Question 7.
If a mirror is approaching you at a speed of 10 ms^1, the speed with which your image approach you is:
(a) 10 ms-1
(b) 5 ms-1
(c) 20 ms-1
(d) 15 ms-1

Answer

Answer: (c) 20 ms-1


MCQ On Ray Optics Class 12 Pdf Question 8.
The refractive indices (R.I.) of glass and water with respect to air are 3/2 and 4/3 respectively. The R.I. of glass w.r. to w ater is:
(a) 8/9
(b) 9/8
(c) 7/6
(d) 2

Answer

Answer: (b) 9/8


Ray Optics MCQ With Answers Question 9.
The angle of minimum deviation for an equilateral glass prism is 30°. Refractive index of the prism is:
(a) \(\frac{1}{√3}\)
(b) √2
(c) 1
(d) can’t be determined

Answer

Answer: (b) √2


MCQ On Optics Class 12 Question 10.
A beam of light is incident at 60° to a plane surface. The reflected and refracted rays are perpendicular to each other. What is the R.I. of the surface:
(a) \(\frac{1}{√3}\)
(b) √3
(c) \(\frac{1}{3}\)
(d) 3

Answer

Answer: (b) √3


Optics MCQ With Answers Question 11.
A concave mirror of focal length f produces an image n times the size of the object. If the image is real then the distance of the object is:
(a) (n – 1) f
(b) (n + 1) f
(c) (\(\frac{n+1}{n}\))f
(d) (\(\frac{n-1}{n}\))f

Answer

Answer: (c) (\(\frac{n+1}{n}\))f


Ray Optics Class 12 MCQs Question 12.
A convergent lens will become less convergent in :
(a) oil
(b) water
(c) both of (a) and (b)
(d) none of these

Answer

Answer: (b) water


Optics Class 12 MCQ Question 13.
A thin glass (RI = \(\frac{3}{2}\)) lens has optical power of – 5D in air. Its optical power in a liquid medium with RI = 1.6 will be:
(a) -2.5 D
(b) 25 D
(c) -ID
(d) 0.625 D

Answer

Answer: (d) 0.625 D


Optics MCQs Class 12 Question 14.
On reflection from a denser medium, a light wave suffers a phase difference of:
(a) π
(b) \(\frac{π}{2}\)
(c) \(\frac{π}{4}\)
(d) 2π

Answer

Answer: (a) π


MCQ Questions Of Ray Optics Class 12 Question 15.
The branch of optics dealing with the formation of images using the concept of straight line propagation of light is called:
(a) geometrical optics
(b) physical optics
(c) corpuscular optics
(d) quantum optics

Answer

Answer: (d) quantum optics


Question 16.
When light travels from one medium to another, which of the following does not change?
(a) frequency
(b) refractive index
(c) velocity
(d) wavelength

Answer

Answer: (a) frequency


When light travels from one medium to another, which of the following does not change?

Question 17.
Two lens of power -15 D and +5 D are placed in contact co-axially. The focal length of equivalent lens is:
(a) -10 cm
(b) -20 cm
(c) +10 cm
(d) None

Answer

Answer: (a) -10 cm


Question 18.
Refractive index of water and glass are \(\frac{4}{3}\) and \(\frac{5}{3}\). A light ray is going to water from glass. Then, its critical angle will be:
(a) sin-1\(\frac{4}{5}\)
(b) sin-1\(\frac{5}{6}\)
(c) sin-1\(\frac{1}{2}\)
(d) sin-1(\(\frac{2}{1}\))

Answer

Answer: (b) sin-1\(\frac{5}{6}\)


Question 19.
The air bubble inside water shine due to:
(a) Reflection
(b) Refraction
(c) T.l.R.
(d) None of these

Answer

Answer: (c) T.l.R.


Question 20.
When a ray of light (white) enters a lens, undergoes a change is:
(a) wavelength
(b) velocity
(c) frequency
(d) both velocity and wavelength

Answer

Answer: (d) both velocity and wavelength


Question 21.
Radio waves from an antenna travel with the velocity of:
(a) light
(b) sound
(c) ultrasonics
(d) supersonics

Answer

Answer: (a) light


Question 22.
A point object is placed at the centre of a glass sphere of radius 6 cm 3 and RI = \(\frac{3}{2}\). The distance of virtual image from the surface of the sphere is :
(a) 2 cm
(b) 4 cm
(c) 6 cm
(d) 12 cm

Answer

Answer: (b) 4 cm


Question 23.
The RI. of the material of a prism is √2 and its refracting angle is 30°. One of the refracting surface of the prism is made a mirror. A beam of monochromatic light entering the prism from the other face retraces its path, after reflection from mirror surface. The angle of incidence on prism is:
(a) 0°
(b) 30°
(c) 45°
(d) 60°

Answer

Answer: (c) 45°


Question 24.
A telescope has an objective lens of 10 cm diameter and is situated at a distance of 1 km from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when seen in the light of mean λ = 5000 A is of the order of:
(a) 5 mm
(b) 5 cm
(c) 0.5 m
(d) 5 m

Answer

Answer: (a) 5 mm


Question 25.
When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is :
(a) polarized
(b) of longer λ
(c) of shorter λ
(d) of high intensity

Answer

Answer: (c) of shorter λ


Question 26.
A convex lens is dipped in a liquid, whose R.I. is equal to that of R.I. of material of the lens. Then its focal length will:
(a) become zero
(b) become infinite
(c) reduce
(d) increase

Answer

Answer: (b) become infinite


Question 27.
The velocity of light in vacuum is 3 × 1010 cms-1. The velocity of light in a medium (µ = 1.5) is:
(a) 2 × 1010cms-1
(b) 4.5 × 1010cms-1
(c) 1.5 × 1010cms-1
(d) None of these

Answer

Answer: (a) 2 × 1010cms-1


Question 28.
Which of the following is not essential for the formation of a pure spectrum?
(a) parallel beam of light
(b) narrow beam of light
(c) screen
(d) prism in the minimum deviation position

Answer

Answer: (c) screen


Question 29.
A certain far-sighted person cannot see objects closer to the eye than 100 cm. The power of the lens which will enable him to read at a distance of 25 cm will be?
(a) 3D
(b) 1D
(c) 4D
(d) 2D

Answer

Answer: (a) 3D


Question 30.
Which produces additional luminiscence in a fluorescent tube?
(a) infra red rays
(b) ultraviolet rays
(c) micro waves
(d) radio waves

Answer

Answer: (b) ultraviolet rays


Question 31.
For achromatic combination of lenses, if we use two lenses of focal length f’ and f1 dipersive power to ω and ω’ respectively, then
(a) ω = ω0, ω’= 2ω0, f’ = 2f
(b) ω = ω0, ω’ = 2ω0, f’ = -2f
(c) ω = ω0, ω’ = 2ω0, f’ = f/2
(d) ω = ω0, ω’ = 2ω0, f’ = -f/2

Answer

Answer: (d) ω = ω0, ω’ = 2ω0, f’ = -f/2


Question 32.
ar point of a myopic eye is 40 cm. The dioptic power of a corrective lens is:
(a) 40 D
(b) -4 D
(c) -2.5 D
(d) -0.25 diopter

Answer

Answer: (c) -2.5 D


Question 33.
Two thin lenses of focal lengths 20 cm and 25 cm are placed in contact. The effective power of the combination is:
(a) 45 D
(b) 9 D
(c) \(\frac{1}{9}\) D
(d) 6 D

Answer

Answer: (b) 9 D


Question 34.
A blue cross on the white background is illuminated with white light and is observed through red filter. What is seen?
(a) A red cross on a black background
(b) A blue cross on a red background
(c) A red cross on a blue background
(d) A black cross on a red background

Answer

Answer: (d) A black cross on a red background


A blue cross on the white background is illuminated with white light and is observed through red filter. What is seen?

Question 35.
The angle of deviation for a prism is greatest for:
(a) violet
(b) red
(c) orange
(d) yellow

Answer

Answer: (a) violet


Question 36.
A double convex air bubble in water behaves as:
(a) Convergent lens
(b) divergent lens
(c) plane slab
(d) concave mirror

Answer

Answer: (b) divergent lens


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 9 Ray Optics and Optical Instruments with Answers Pdf free download will help you. If you have any queries regarding Ray Optics and Optical Instruments CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers

MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers

Check the below NCERT MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers Pdf free download. MCQ Questions for Class 12 Chemistry with Answers were prepared based on the latest exam pattern. We have provided Amines Class 12 Chemistry MCQs Questions with Answers to help students understand the concept very well.

Amines Class 12 MCQs Questions with Answers

Amines MCQ Class 12 Chapter 13 Question 1.
Nitrogen atom of amino group is ………. hybridised.
(a) sp
(b) sp2
(c) sp3
(d) sp3d

Answer

Answer: (c) sp3


Amines MCQ Pdf Download Class 12 Chapter 13 Question 2.
Which of the following should be most volatile?
I. CH3CH2CH2NH2
II. (CH3)3N
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 1
IV. CH3CH2CH3
(a) II
(b) IV
(c) I
(d) III

Answer

Answer: (b) IV


MCQ On Amines Chapter 13 Question 3.
C3H8N cannot represent
(a) 1° ammine
(b) 2° ammine
(c) 3° ammine
(d) quartemary ammonium salt

Answer

Answer: (d) quartemary ammonium salt


MCQ On Amines Class 12 Chapter 13 Question 4.
Identify the correct IUPAC name
(a) (CH3CH2)2NCH3 = N-Ethyl-N-methylethanamine
(b) (CH3)3CNH2 = 2-methylpropan-2-amine
(c) CH3NHCH (CH3)2 = N-Methylpropan-2-amine
(d) (CH3)2CHNH2 = 2, 2-Dimethyl-N-propanamine

Answer

Answer: (a) (CH3CH2)2NCH3 = N-Ethyl-N-methylethanamine


Amines Class 12 MCQ Chapter 13  Question 5.
The most convenient method to prepare primary (i Amine) amine containing one carbon atom less is
(a) Gabriel phthalmidie synthesis
(b) Reductive amination of aldehydes
(c) Hofmann bromamide reaction
(d) Reduction of isonitriles

Answer

Answer: (c) Hofmann bromamide reaction


Amines MCQ Pdf Class 12 Chapter 13 Question 6.
Identify the correct pathway to convert propanoic acid to ethylamine. The reagent represented by A, B and C are
Amines MCQ Pdf Class 12 Chapter 13

Answer

Answer: (b)


MCQ Of Amines Class 12 Chapter 13 Question 7.
When excess of ethyl iodide is treated with ammonia, the product is
(a) ethylamine
(b) diethylamine
(c) triethylamine
(d) tetrathylammonium iodide

Answer

Answer: (d) tetrathylammonium iodide


Amines Class 12 MCQ Pdf Chapter 13  Question 8.
Amides may be converted into amines by a reaction named after
(a) Hofmann Bromide
(b) Claisen
(c) Perkin
(d) Kekule

Answer

Answer: (a) Hofmann Bromide


MCQ On Amines Pdf Chapter 13 Class 12 Question 9.
Reduction of CH3CH2NC with hydrogen in presence of Ni or Pt as catalvst gives
(a) CH3CH2NH2
(b) CH3CH2NHCH3
(c) CH3CH2NHCH2CH3
(d) (CH3)3N

Answer

Answer: (b) CH3CH2NHCH3


Aniline Is In Nature MCQ Chapter 13 Class 12 Question 10.
Secondary amines can be prepared by
(a) reduction of nitro compounds
(b) oxidation of N-substituted amides
(c) reduction of isonitriles
(d) reduction of nitriles

Answer

Answer: (c) reduction of isonitriles


Secondary amines can be prepared by

Amines MCQ Questions Chapter 13 Class 12 Question 11.
Which of the following amides will give ethylamine on reaction with sodium hypobromide?
(a) Butanamide
(b) Propanamide
(c) Acetamide
(d)Benzamide

Answer

Answer: (b) Propanamide


MCQ On Aromatic Amines Chapter 13 Class 12 Question 12.
Benzoic acid is treated with SOCl2 and the product (X) formed is reacted with ammonia to give (Y). (Y) on reaction with Br2 and KOH gives (Z). (Z) in the reaction is
(a) aniline
(b) chlorobenzene
(c) benzamide
(d) benzoyl chloride

Answer

Answer: (a) aniline


MCQ Questions On Amines Chapter 13 Class 12 Question 13.
Which one of the following reducing agents is likely to be most effective in bringing about the following change?
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 3
(a) H2-Ni
(b) NaBH4
(c) LiAlH4 ether
(d) Na-AIcohol

Answer

Answer: (c) LiAlH4 ether


MCQ On Basicity Of Amines Chapter 13 Class 12 Question 14.
Amine that cannot be prepared by Gabricl-Phthalmidie synthesis is
(a) aniline
(b) benzyl amine
(c) methyl amine
(d) iso-butylamine

Answer

Answer: (a) aniline


MCQs Based On Amines Chapter 13 Class 12 Question 15.
What is the end product in the following sequence of reactions?
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 4
(a) Aniline
(b) Phenol
(c) Benzene
(d) Benzenediazxonium chloride

Answer

Answer: (a) Aniline


Question 16.
Tertiary amines have lowest boiling points amongst isomeric amines because
(a) they have highest molecular mass
(b) they do not form hydrogen bonds
(c) they are more polar in nature
(d) they are most basic in nature

Answer

Answer: (b) they do not form hydrogen bonds


Question 17.
Which of the following amines will give carbylatnine reaction?
(a) (C2H5)3N
(b) (C2H5)2NH
(c) C2H5NH2
(d) C3H7NHC2H35

Answer

Answer: (c) C2H5NH2


Question 18.
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 5
in the above reaction is
(a) CH3CH2CH2NHCOCH3
(b) CH3CH2CH2NH2
(c) CH3CH2CH2CONHCH3
(d) CH3CH2CH2CONHCOCH3

Answer

Answer: (a) CH3CH2CH2NHCOCH3


Question 19.
The end product Z of the reaction
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 6
(a) propanenitrile
(b) triethylamine
(c) diethylamine
(d) propylamine

Answer

Answer: (a) propanenitrile


Question 20.
Primary and secondary amines are distinguished by
(a) Br2/ROH
(b) HClO
(c) HNO2
(d) NH3

Answer

Answer: (c) HNO2


Question 21.
Arrange the following compounds in increasing order of basicity:
CH3NH2, (CH3)2 NH, NH3, C6H5NH2
(a) C6H5NH2 < NH3 < (CH3)2NH < CH3NH2
(b) CH3NH2 < (CH3)2NH < NH3 < C6H5NH2
(c) C6H5NH2 <NH3 < CH3NH2<(CH3)2NH
(d) (CH3)2NH < CH3NH2 <NH3 < C6H5NH2

Answer

Answer: (c) C6H5NH2 <NH3 < CH3NH2<(CH3)2NH


Question 22.
Which of the following species are involved in the carbvlamine test?
(i) RNC
(ii) CHCl3
(iii) COCl2
(iv) NaNO2 + HCl
(a) (i) and (iv)
(b) (i) and (ii)
(c) (ii) and (iv)
(d) (ii) and (iii)

Answer

Answer: (b) (i) and (ii)


Question 23.
Identify ‘Z’ in the sequence?
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 7
(a) C6H5CN
(b) C6H5CONH2
(c) C6H5COOH
(d) C6H5CH2NH2

Answer

Answer: (c) C6H5COOH


Question 24.
Which of the following from isocyanide on reaction with CHCl and KOH?
(a) C6H5NHCH3
(b) CH3C6H4NH2
(c) C6H5NHC4H9.
(d) C6H5N (C2H5)2

Answer

Answer: (b) CH3C6H4NH2


Question 25.
Which of the following is used as Hinsberg’s reagent?
(a) C6H5SO2Cl
(b) C6H5SO3H
(c) C6H5NHCH3
(d) C6H5COCH3

Answer

Answer: (a) C6H5SO2Cl


Question 26.
Electrophilic substitution of aniline with bromine water at room temperature gives
(a) 2-bromoaniline
(b) 3-bromoaniline
(c) 2, 4, 6-tribromoaniline
(d) 3, 5, 6-tribromoaniline

Answer

Answer: (c) 2, 4, 6-tribromoaniline


Question 27.
Among the compounds C3H7NH2, CH3NH2, C2H5NH2, and C6H5NH2. Which is the least basic compound?
(a) CH3NH2
(b) C2H5NH2
(c) C3H7NH2
(d) C6H5NH2

Answer

Answer: (d) C6H5NH2


Question 28.
Anilinium hydrogensulphate on heating with sulphuric acid at 453-473 K produces
(a) sulphanilic acia
(b) benzenesulphonic acid
(c) aniline
(d) anthranilic acid

Answer

Answer: (a) sulphanilic acia


Question 29.
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 8
Product would be
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 9

Answer

Answer: (c)


Question 30.
Which of the following can exist as zwitter ion?
(a) p-Aminoacetophenone
(b) Sulphanilic acid
(c) p-Nitroaminobenzene
(d) p-Methoxyphenol

Answer

Answer: (b) Sulphanilic acid


Question 31.
Reduction of aromatic nitro-compounds using Sn and HCl gives
(a) aromatic primary amines
(b) aromatic secondary amines
(c) aromatic tertiary amines
(d) aromatic amides

Answer

Answer: (a) aromatic primary amines


Question 32.
Which amine amongst the following will answer positively the carbylamine test (i.e., heating with CHCl3 and KOH)?
(a) C6H5 – NH – CH3
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 10
(c) C6H5 – NH – C4H9
(d) C6H5 -N(C2H5)3

Answer

Answer: (b)


Question 33.
Most basic species amongst the following is
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 11

Answer

Answer: (d)


Question 34.
When aniline is heated with cone. H2SO4 at 455-475 K, it forms
(a) aniline hydrogensulphate
(b) sulphanilic acid
(c) amino benzene sulphonic acid
(d) benzenesulphonic acid

Answer

Answer: (b) sulphanilic acid


Question 35.
Which of the following compounds cannot be identified by carbylamine test?
(a) CH3CH2NH2
(b) (CH3)2CHNH2
(c) C6H5NH2
(d) C6H5NHC6H5

Answer

Answer: (d) C6H5NHC6H5


Question 36.
What is obtained when benzoyl chloride reacts with aniline in the presence of sodium hydroxide?
(a) Benzoic acid
(b) Benzanilide
(c) Acetanilide
(d) Azobenzene

Answer

Answer: (b) Benzanilide


Question 37.
Which of the following compounds reacts with NaNO2 and HCl at 0-4°C to give alcohol/phenol?
(a) C6H5NH2
(b) C2H5NH2
(c) CH3NHCH3
(d) C6H5NHCH3

Answer

Answer: (b) C2H5NH2


Question 38.
Which of the following has highest pKb value?
(a) (CH3)3CNH2
(b) NH3
(c) (CH3)2MH
(d) CH3NH3

Answer

Answer: (b) NH3


Question 39.
Acetylation of a secondary amine in alkaline medium yields
(a) N, N-dialkyl acetamide
(b) N, N-dialkyl amine
(c) N, N-dialkyl amide
(d) acetyl dialkyl amine

Answer

Answer: (a) N, N-dialkyl acetamide


Question 40.
Which of the following is amphoteric in nature?
(a) CH3NH2
(b) CH3NHCH3
(c) CH3CONH2
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 12

Answer

Answer: (c) CH3CONH2


Question 41.
The amines are basic in nature, hence they form salts with hydrochloric acid. Which of the following will be insoluble in dil. HCl?
(a) C6H5NH3
(b) (C6H5)3N
(c) C2H5NH2
(d) CH3NHCH3

Answer

Answer: (b) (C6H5)3N


Question 42.
Primary, secondary and tertiary amines may be separated by using
(a) iodoform
(b) diethyloxalate
(c) benzene sulphonyl chloride
(d) acetyl chloride

Answer

Answer: (c) benzene sulphonyl chloride


Question 43.
When p-toluidine reacts with chloroform and alcoholic KOH, then the product is
MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers 13

Answer

Answer: (b)


Question 44.
An organic compound (X) was treated with sodium nitrite and HCl in ice cold conditions. Bubbles of nitrogen gas were seen coming out. The compound (X) may be
(a) a secondary aliphatic amine.
(b) a primary aromatic amine
(c) a primary aliphatic amine
(d) a tertiary amine

Answer

Answer: (c) a primary aliphatic amine


An organic compound (X) was treated with sodium nitrite and HCl in ice cold conditions. Bubbles of nitrogen gas were seen coming out. The compound (X) may be

Question 45.
Among the following:
I. CH3NH5
II. (CH3)2NH
III. (CH3)3N
IV. C6H5NH2
Which will give the positive carbylamine test?
(a) I and II
(b) I and IV
(c) II and IV
(d) II and III

Answer

Answer: (b) I and IV


Question 46.
Cyclohexyiamine is stronger base than aniline become
(a) in aniline electron pair is involved in conjugation
(b) in cyclohexyiamine electron pair is involve conjugation
(c) in aniline-NH, group is protonated
(d) in cyclohexyiamine nitrogen has a negative charge

Answer

Answer: (a) in aniline electron pair is involved in conjugation


Question 47.
The strongest base among the following is
(a) C6H5NH3
(b) p-NH2C6H4NH
(c) m-NO2C6H4NH2
(d) C6H5CH2NH2

Answer

Answer: (d) C6H5CH2NH2


We hope the given NCERT MCQ Questions for Class 12 Chemistry Chapter 13 Amines with Answers Pdf free download will help you. If you have any queries regarding Amines CBSE Class 12 Chemistry MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Chemistry Chapter 15 Polymers with Answers

MCQ Questions for Class 12 Chemistry Chapter 15 Polymers with Answers

Check the below NCERT MCQ Questions for Class 12 Chemistry Chapter 15 Polymers with Answers Pdf free download. MCQ Questions for Class 12 Chemistry with Answers were prepared based on the latest exam pattern. We have provided Polymers Class 12 Chemistry MCQs Questions with Answers to help students understand the concept very well.

Polymers Class 12 MCQs Questions with Answers

Polymer Chemistry MCQ With Answers Pdf Chapter 15 Class 12 Question 1.
Bakelite is an example of
(a) elastomer
(b) fibre
(c) thermoplastic
(d) thermosetting

Answer

Answer: (d) thermosetting


MCQ On Polymers Chapter 15 Class 12 Question 2.
Arrange the following polymers is an increasing order of intenqolecular forces: fibre, plastic, elastomer
(a) Elastomer < Fibre < Plastic
(b) Elastomer < Plastic < Fibre
(c) Plastic < Elastomer < Fibre
(d) Fibre < Elastomer < Plastic

Answer

Answer: (b) Elastomer < Plastic < Fibre


MCQ On Polymer Chemistry Pdf Chapter 15 Class 12 Question 3.
The correct structure of monomers of buna-S is
MCQ On Polymer Chemistry Pdf Chapter 15 Class 12

Answer

Answer: (c)


Polymer MCQ With Answers Chapter 15 Class 12 Question 4.
The S in buna-S refers to
(a) Sulphur
(b) Styrene
(c) Sodium
(d) Salicylate

Answer

Answer: (b) Styrene


MCQ On Polymers Class 12 Chapter 15 Question 5.
Identify the type of polymer
(i) -A-A-A-A-A-A-
(ii) -A-B-B-A-A-A-B-A-
(a) (i) Homopolymer, (ii) Copolymer
(b) (i) Natural polymer, (ii) Synthetic polymer
(c) (i) Linear polymer, (ii) Branched polymer
(d) (i) Fibre, (ii) Elastomer

Answer

Answer: (a) (i) Homopolymer, (ii) Copolymer


MCQ On Polymer Chapter 15 Class 12 Question 6.
Which of the following are thermoplastic polymers?
(a) Polythene, urea-formaldehyde, polyvinyls
(b) Bakelite, polythene, polystyrene
(c) Polythene, polystyrene, polyvinyls
(d) Urea-formaldehyde, polystyrene, bakelite

Answer

Answer: (c) Polythene, polystyrene, polyvinyl


Which of the following are thermoplastic polymers?

MCQs On Polymers Chapter 15 Class 12 Question 7.
Glycogen, anaturally occuring polymer stored in animals is a
(a) monosaccharide
(b) disaccharide
(c) trisaccharide
(d) polysaccharide

Answer

Answer: (d) polysaccharide


Polymers MCQ Question Bank Chapter 15 Class 12 Question 8.
Nylon 6, 6 is obtained by condensation polymerisation of
(a) adipic acid and ethylene glycol
(b) adipic acid and hexamethylenediamine
(c) terephthalic acid and ethylene glycol
(d) adipic acid and phenol

Answer

Answer: (b) adipic acid and hexamethylenediamine


Polymer Chemistry MCQ With Answers Chapter 15 Class 12 Question 9.
Terylerte is a condensation polymer of ethylene glycol and
(a) benzoic acid
(b) phthalic acid
(c) dimethyl terephthalate
(d) salicylic acid

Answer

Answer: (c) dimethyl terephthalate


Polymers Questions And Answers Pdf Chapter 15 Class 12 Question 10.
Natural rubber is a polymer of
(a) 1, 1-dimethylbufadiene
(b) 2-methyl-1, 3-rbutadiene
(c) 2-chlorobuta-1, 3-diene
(d) 2-chlorobut-2-ene

Answer

Answer: (b) 2-methyl-1, 3rbutadiene


Polymers MCQs Chapter 15 Class 12 Question 11.
Heating rubber with sulphur is known as
(a) galvanisation
(b) bessemerisation
(c) vulcanisation
(d) sulphonation

Answer

Answer: (c) vulcanisation


Polymers Class 12 MCQ Chapter 15  Question 12.
Dacron is an example of
(a) polyamides
(b) polypropenes
(c) polyacrylnitrfle
(d) polyesters

Answer

Answer: (d) polyesters


Polymer MCQ Pdf Chapter 15 Class 12 Question 13.
Which of the following is a condensation polymer?
(a) Teflon
(b) PVC
(c) Polyester
(d) Neoprene

Answer

Answer: (c) Polyester


MCQ On Polymer Chemistry Chapter 15 Class 12 Question 14.
Which of the following polymers does not involve cross-linkages?
(a) Vulcanised rubber
(b) Bakelite
(c) Melamine
(d) Teflon

Answer

Answer: (d) Teflon


Polymers MCQ Pdf Chapter 15 Class 12 Question 15.
Composition of Ziegler-Natta catalyst is
(a) (Et3)3Al.TiCl2
(b) (Me)3Al.TiCl2
(c) (Et)3Al.TiCl4
(d) (Et)3Al.PtCl4

Answer

Answer: (c) (Et)3Al.TiCl4


Polymer Chemistry MCQ Chapter 15 Class 12 Question 16.
Which of the following is not an example of addition polymer?
(a) Polythene
(b) Polystyrene
(c) Neoprene
(d) Nylon 6,6

Answer

Answer: (d) Nylon 6,6


Polymer MCQs Chapter 15 Class 12 Question 17.
Teflon and neoprene are the examples of
(a) copolymers
(b) monomers
(c) homopolymers
(d) condensation polymers

Answer

Answer: (c) homopolymers


Question 18.
Which of the following sets contains only addition polymers?
(a) Polyethylene, polypropylene, terylene
(b) Polyethylene, PVC, acrilan
(c) Buna-S, nylon, polybutadiene
(d) Bakelite, PVC, polyethylene

Answer

Answer: (b) Polyethylene, PVC, acrilan


Question 19.
Which among the following is a cross-linked polymer?
(a) Polyesters
(b) Glycogens
(c) Melamine-formaldehyde
(d) Polyvinyl chloride

Answer

Answer: (c) Melamine-formaldehyde


Question 20.
Synthetic polymer prepared by using caprolactam is known as
(a) terylene
(b) teflon
(c) nylon 6
(d) neoprene

Answer

Answer: (c) nylon 6


Question 21.
Polymer which has amide linkage is
(a) nylon-6, 6
(b) terylene
(c) teflon
(d) bakelite

Answer

Answer: (a) nylon-6, 6


Question 22.
Which of the following is not an example of rubber?
(a) Polychloroprene
(b) Buna-N
(c) Butadiene-styrene copolymer
(d) Polyacrylonitrile

Answer

Answer: (d) Polyacrylonitrile


Question 23.
Which of the following polymers does not have vinylic monomer units?
(a) Acrilan
(b) Nylon
(c) Polystyrene
(d) Neoprene

Answer

Answer: (b) Nylon


Which of the following polymers does not have vinylic monomer units?

Question 24.
cis-Polyisoprene possesses elastic property because
(a) It is soft and soluble in non-polar solvent
(b) It is unsaturated and porous
(c) It has a coiled structure and chains held together by weak van der waals forces
(d) It has fibrous structure and reactive sites at various double bonds

Answer

Answer: (c) It has a coiled structure and chains held together by weak van der waals forces


Question 25.
The monomers used in addition polymerisation through free radical should be very pure because
(a) the traces of impurities act like inhibitors resulting in short chain polymers
(b) the impurities result in formation of different products
(c) the polymer formed is impure
(d) catalyst does not function in presence of impurities

Answer

Answer: (a) the traces of impurities act like inhibitors resulting in short chain polymers


We hope the given NCERT MCQ Questions for Class 12 Chemistry Chapter 15 Polymers with Answers Pdf free download will help you. If you have any queries regarding Polymers CBSE Class 12 Chemistry MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Physics Chapter 7 Alternating Current with Answers

MCQ Questions for Class 12 Physics Chapter 7 Alternating Current with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 7 Alternating Current with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Alternating Current Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Alternating Current Class 12 MCQs Questions with Answers

Alternating Current Class 12 MCQ Question 1.
The average value of a cover a complete cycle is:
(a) l0
(b) \(\frac{l_0}{2}\)
(c) \(\frac{l_0}{√2}\)
(d) zero

Answer

Answer: (d) zero


Alternating Current MCQ Question 2.
Power factor of an ac circuit is a measure of:
(a) virtual power
(b) power lost in the circuit
(c) mean power
(d) all the above

Answer

Answer: (b) power lost in the circuit


Class 12 Physics Chapter 7 MCQ Question 3.
The dimensional formula of L/R is similar to that of:
(a) frequency
(b) time
(c) length
(d) none of these

Answer

Answer: (b) time


Chapter 7 Physics Class 12 MCQ Question 4.
Which of the following has dimensions different from the rest?
(a) L/R
(b) \(\frac{1}{RC}\)
(c) \(\sqrt{LC}\)
(d) RC

Answer

Answer: (b) \(\frac{1}{RC}\)


MCQ On Alternating Current Question 5.
The dimensional formula of impedance is;
(a) [ML2T-2A-2]
(b) [ML2T-3A-2]
(c) [ML2T-2A-1]
(d) [ML2T-2A-3]

Answer

Answer: (b) [ML2T-3A-2]


Class 12 Physics Chapter 7 MCQ Questions Question 6.
Energy dissipates in LCR circuit in :
(a) L only
(b) C only
(c) R only
(d) All of the above

Answer

Answer: (c) R only


Energy dissipates in LCR circuit in :

MCQ On Alternating Current Class 12 Question 7.
An iron core transformer with a turns ratio of 8 : 1 has 120 V applied across the primary. The voltage across the
(a) 15 V
(b) 120 V
(c) 180 V
(d) 960 V

Answer

Answer: (a) 15 V


MCQ Of Alternating Current Class 12 Question 8.
What is the ratio of inductive and capacitance reactances in an ac circuit?
(a) 1
(b) ω²L
(c) ω²LC
(d) l

Answer

Answer: (c) ω²LC


Ch 7 Physics Class 12 MCQ Question 9.
An acceptor circuit is :
(a) series resonant circuit
(b) parallel resonant circuit
(c) LCR circuit
(d) None of these

Answer

Answer: (a) series resonant circuit


Physics Class 12 Chapter 7 MCQ Question 10.
A broadcast circute broadcasts at 300 m band. A condenser of capacitance 2.4 lµF is available. The value of the inductance required for resonant circuit is:
(a) 10-4 H
(b) 10-8 H
(c) 10-6 H
(d) 10-2 H

Answer

Answer: (b) 10-8 H


Alternating Current MCQs Question 11.
In series resonant circuit:
(a) reactance is zero
(b) current is zero
(c) voltage is zero
(d) None of these

Answer

Answer: (d) None of these


Class 12 Alternating Current MCQ Question 12.
In parallel resonant circuit:
(a) impedance is very high
(b) current is very high
(c) voltage is very high
(d) None of these

Answer

Answer: (a) impedance is very high


Class 12 Physics Ch 7 MCQ Question 13.
The no. of turns in the primary coil of a transformer is 200 and the no. of turns in the secondary is 10. If 240 V a.c. is applied to primary, the output from the secondary
(a) 6 V
(b) 12 V
(c) 24 V
(d) 48 V

Answer

Answer: (b) 12 V


Alternating Current Class 12 MCQ Questions Question 14.
Transformer works on the principle of:
(a) convertor
(b) invertor
(c) mutual induction
(d) self-induction

Answer

Answer: (c) mutual induction


Alternating Current MCQ Class 12 Question 15.
Which of the following effects is not shown in alternating current ?
(a) Chemical effect
(b) Magnetic effect
(c) Heating current
(d) All of these

Answer

Answer: (a) Chemical effect


Physics Chapter 7 Class 12 MCQ Question 16.
An ac ammeter connected in series in an ac circuit reads 5A. The peak value of current:
(a) 5 A
(b) 5√2A
(c) \(\frac{5}{√5}\) A
(d) zero

Answer

Answer: (b) 5√2A


Alternating Current MCQ Questions And Answers Question 17.
The phase difference b/w the A.C. and e.m.f. \(\frac{π}{2}\) Which of the following can not be the instituent of the circuit?
(a) LC
(b) L alone
(c) C alone
(d) RL

Answer

Answer: (d) RL


MCQ Questions For Class 12 Physics Chapter 7 Question 18.
The Q factor of an LCR circuit at resonance is :
(a) \(\sqrt{R^2+ω^2L^2}\)
(b) \(\sqrt{R^2+(\frac{1}{cω}})^2\)
(c) \(\frac{ω_rL}{R}\)
(d) \(\sqrt{R^2+\frac{1}{c^2ω^2}}\)

Answer

Answer: (c) \(\frac{ω_rL}{R}\)


Alternating Current Class 12 MCQs Question 19.
Faraday constant:
(a) depends on the amount of the electrolyte
(b) depends on the current in the electrolyte
(c) is a universal constant
(d) depends on the amount of charge passed through the electrolyte

Answer

Answer: (c) is a universal constant


Question 20.
The natural frequency of an L -C-Circuit is equal to :
(a) \(\frac{\sqrt{LC}}{2π}\)
(b) \(\frac{1}{3π\sqrt{LC}}\)
(c) \(\frac{1}{2π}\sqrt{\frac{L}{C}}\)
(d) \(\frac{1}{2π}\sqrt{\frac{C}{L}}\)

Answer

Answer: (b) \(\frac{1}{3π\sqrt{LC}}\)


Question 21.
In the series L-C-R circuit, the voltmeter and ammeter readings are:
MCQ Questions for Class 12 Physics Chapter 7 Alternating Current with Answers
(a) V = 100 Volts, I = 2A
(b) V = 100 Volts, I = 5A
(c) V = 1000 Volts, I = 2A
(d) V = 300 Volts, I = 1A

Answer

Answer: (a) V = 100 Volts, I = 2A


Question 22.
The band width of a series resonant circuit is :
(a) f0/Q0
(b) \(\frac{R}{2πL}\)
(c) \(\frac{R}{4πL}\)
(d) 4R

Answer

Answer: (a) f0/Q0


Question 23.
A rejector circuit is:
(a) series resonant circuit
(b) parallel resonant circuit
(c) LCR circuit
(d) None of these

Answer

Answer: (b) parallel resonant circuit


Question 24.
The inductive reactance of an inductor coil of \(\frac{1}{π}\) H at 50 Hz is:
(a) \(\frac{50}{π}\) Ω
(b) \(\frac{π}{50}\) Ω
(c) 100 Ω
(d) 50 Ω

Answer

Answer: (c) 100 Ω


Question 25.
In pure inductive circuit current
(a) lags behind emf by π/2
(b) leads the emf by π/2
(c) lags behind emf by π
(d) leads the emf by π

Answer

Answer: (a) lags behind emf by π/2


In pure inductive circuit current

Question 26.
The current through an inductor of 1H is given by I = 3t sin t. The voltage across the inductor of 1 H is:
(a) 3 sin t + 3 cos t
(b) 3 sin t + 3t cos t
(c) 3 cos t + t sin t
(d) 3t cos t + sin t

Answer

Answer: (b) 3 sin t + 3t cos t


Question 27.
Two coils X and Y are connected in series across a 240 V, 50 Hz supply. The resistance of X is 5Ω and inductance of Y is 0.02 H. The power consumed is 3 kW and the power factor is 0.75. The impedance of the circuit is:
(a) 0.144 Ω
(b) 1.44 Ω
(c) 14.4 Ω
(d) 144 Ω

Answer

Answer: (c) 14.4 Ω


Question 28.
In the above problem, the value of the resistance of the coil Y is:
(a) 0.58 Ω
(b) 5.8 Ω
(c) 1.16 Ω
(d) 11.6 Ω

Answer

Answer: (b) 5.8 Ω


Question 29.
An electric circuit containing capacitor only suffers:
(a) equal resistance for A.C. and D.C.
(b) Resistance of A.C. > Resistance of D.C.
(c) Resistance for A.C. < Resistance of D.C.
(d) offers infinite resistance for D.C.

Answer

Answer: (d) offers infinite resistance for D.C.


Question 30.
The average power dissipation in pure inductance or capacitance is:
(a) \(\frac{1}{2}\) LI²
(b) \(\frac{3}{2}\) CV²
(c) either (a) or (b)
(d) zero

Answer

Answer: (d) zero


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 7 Alternating Current with Answers Pdf free download will help you. If you have any queries regarding Alternating Current CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers

MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Current Electricity Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Current Electricity Class 12 MCQs Questions with Answers

Current Electricity Class 12 MCQ Question 1.
The speed at which tjie current travels in a conductor is nearly:
(a) 3 × 104 ms-1
(b) 3 × 106 ms-1
(c) 3 × 108 ms-1
(d) 3 × 1010 ms-1

Answer

Answer: (a) 3 × 104 ms-1


Current Electricity MCQ Question 2.
The resistance of a human body is about:
(a) 12 Ω
(b) 120 Ω
(c) 12 KΩ
(d) 120 MΩ

Answer

Answer: (c) 12 KΩ


Class 12 Physics Chapter 3 MCQ Question 3.
The number of electrons that constitute 1 A of current is:
(a) 6.25 × 1016
(b) 6.25 × 1017
(c) 6.25 × 1018
(d) 6.25 × 1019

Answer

Answer: (c) 6.25 × 1018


MCQ On Current Electricity Question 4.
How many different resistances are possible with two equal resistors?
(a) 2
(b) 3
(c) 4
(d) 5

Answer

Answer: (b) 3


Chapter 3 Physics Class 12 MCQ Question 5.
Given three equal resistors, how many different combinations (taken all of them together) can be made?
(a) 3
(b) 4
(c) 5
(d) 6

Answer

Answer: (b) 4


Ch 3 Physics Class 12 MCQ Question 6.
Specific resistance of ali metals is mostly affected by:
(a) temperature
(b) pressure
(c) magnetic field
(d) volume

Answer

Answer: (a) temperature


MCQ Of Chapter 3 Physics Class 12 Question 7.
The example of a non-ohmic resistance is:
(a) copper wire
(b) fi lament lamp
(c) carbon resistor
(d) diode

Answer

Answer: (d) diode


Physics Class 12 Chapter 3 MCQ Question 8.
If a certain piece of copper is to be shaped into a conductor of minimum resistance, its length (L) and cross-sectional area (a) shall respectively be :
(a) L, 2A
(b) \(\frac{L}{2}\), 2A
(c) 2L, 2A
(d) 2l, \(\frac{A}{2}\)

Answer

Answer: (b) \(\frac{L}{2}\), 2A


Current Electricity Class 12 MCQ Questions And Answers Pdf Question 9.
The specific resistance of a rod of copper as compared to that of thin wire of copper is :
(a) less
(b) more
(c) same
(d) depends upon the length and area of cross-section of the wire

Answer

Answer: (c) same


The specific resistance of a rod of copper as compared to that of thin wire of copper is :

Current Electricity MCQ Class 12 Question 10.
A wire of resistance 3 Ω is cut into three pieces, which are then joined to form a triangle. The equivalent resistance between any corners of the triangle is :
(a) \(\frac{2}{3}\) Ω
(b) \(\frac{3}{2}\) Ω
(c) \(\frac{1}{2}\) Ω
(d) \(\frac{1}{3}\) Ω

Answer

Answer: (a) \(\frac{2}{3}\) Ω


Class 12 Current Electricity MCQ Question 11.
The length of a conductor is halved. Its resistance will be :
(a) halved
(b) doubled
(c) unchanged
(d) quadrupled

Answer

Answer: (a) halved


MCQ Of Current Electricity Question 12.
In the above question, the conductance:
(a) halved
(b) doubled
(c) unchanged
(d) quadrupled

Answer

Answer: (b) doubled


MCQ On Current Electricity Class 12 Pdf Question 13.
Siemen is the unit of:
(a) resistance
(b) conductance
(c) specific conductance
(d) None of these

Answer

Answer: (b) conductance


MCQ Of Current Electricity Class 12 Question 14.
How much electric energy is consumed by a 100 W lamp used for 6 hours everyday for 30 days?
(a) 18 kJ
(b) 18 kWh
(c) 1.8 J
(d) None of these

Answer

Answer: (b) 18 kWh


MCQ On Current Electricity Class 12 Question 15.
Suppose H1 is the heat generated per second in the filament of a 100 W, 250 V lamp and H2 is the heat generated in the filament of a 200 W, 250 V lamp. Then H1/H2 is equal to:
(a) 1
(b) 2
(c) \(\frac{1}{2}\)
(d) \(\frac{1}{4}\)

Answer

Answer: (c) \(\frac{1}{2}\)


Question 16.
Two wires of copper are of the same length but’have different diameters. When they are connected in series across a battery, the heat generated is H1 When connected in parallel across the same battery, the heat generated during the same time is H2 Then :
(a) H1 = H2
(b) H1 < H2
(c) H1 > H2
(d) H1 > H2

Answer

Answer: (b) H1 < H2


Question 17.
In questions 135, w hen the wires are connected in series, the heat produced in the thinner wire is H1 and that in the thicker wire is H2. Then :
(a) H1 = H2
(b)H1 < H2
(c) H1 > H2
(d) H1 > H2

Answer

Answer: (c) H1 > H2


Question 18.
Kirchhoffs first and second laws for electrical circuits are consequences of:
(a) conservation of energy
(b) conservation of electrical charge and energy respectively
(c) conservation of electric charge
(d) neither conservation of energy nor electric charge

Answer

Answer: (b) conservation of electrical charge and energy respectively


Question 19.
A 5 A fuse wire can with stand a maximum power of 1 W in circuit. The resistance of the fuse wire is:
(a) 0.2 Ω
(b) 5 Ω
(c) 0.4 Ω
(d) 0.04 Ω

Answer

Answer: (d) 0.04 Ω


Question 20.
The length and radius of an electric resistance of a certain wire are doubled simultaneously, then the:
(a) resistance will be doubled and specific resistance will be halved
(b) resistance will be halved and specific resistance will remain uncharged
(c) resistance will be halved and the specific resistance will be doubled
(d) resistance and specific resistance will both remain uncharged

Answer

Answer: (b) resistance will be halved and specific resistance will remain uncharged


Question 21.
A galvanometer acting as a volt meter will have with its coil.
(a) a high resistance in parallel
(b) a high resistance in series
(c) a low resistance in parallel
(d) a low resistance in series

Answer

Answer: (b) a high resistance in series


Question 22.
When three identical bulbs of 60 W, 200 V rating are connected in series to a 200 V supply, the power drawn by them will be:
(a) 20 W
(b) 60 W
(c) 180 W
(d) 10 W

Answer

Answer: (a) 20 W


Question 23.
n resistances, each of R Ω, are connected in parallel gives an equivalent resistance of R Ω. If these resistances were , connected in series, the combination would have a resistance in Ω is equal to
(a) n²R
(b) R/n²
(c) R/n
(d) nR

Answer

Answer: (a) n²R


Question 24.
Why is the Wheatstone bridge more accurate than other methods of measuring resistances: ‘
(a) It is a null method
(b) It is based on Kirchhoffs laws
(c) It has four resistances
(d) It does not involve ohm’s law

Answer

Answer: (a) It is a null method


Question 25.
A potential difference of 10 V is applied across a conductance of 2 S. The current in the conductor will be :
(a) 20 A
(b) 5 A
(c) 0.2 A
(d) None of these

Answer

Answer: (a) 20 A


Question 26.
Ohm’s law is valid when the temperature of conductor is :
(a) very low
(b) very high
(c) varying
(d) constant

Answer

Answer: (d) constant


Question 27.
The emf of a car battery is about:
(a) 2.5 V
(b) 4.5 V
(c) 8.6 V
(d) 12 V

Answer

Answer: (d) 12 V


Question 28.
Emf is measured in :
(a) joule
(b) joule/coulomb
(c) joule-coulombs
(d) joule/coulomb/metre

Answer

Answer: (b) joule/coulomb


Question 29.
1 kilowatt hour is commonly known as :
(a) unit
(b) 1 faraday
(c) 1 curie
(d) None of these

Answer

Answer: (a) unit


Question 30.
How many joules are equal to I kWh ?
(a) 3.6 × 104
(b) 3.6 × 105
(c) 3.6 × 106
(d) None of these

Answer

Answer: (c) 3.6 × 106


Question 31.
The temperature coefficient of resistance is expressed in :
(a) °C
(b) °C-1
(c) m°C-1
(d) None of these

Answer

Answer: (b) °C-1


Question 32.
Copper wire is used as connecting wire because :
(a) copper has high electrical resistivity
(b) copper has low electrical resistivity
(c) copper has low electrical conductivity
(d) copper has high value of elasticity

Answer

Answer: (b) copper has low electrical resistivity


Question 33.
The heat sensitive device whose resistivity changes very rapidly with change of temperature is called a :
(a) resistor
(b) super-conductor
(c) thermocouple
(d) thermistor

Answer

Answer: (d) thermistor


Question 34.
The phenomenon of super-conductivity was discovered by :
(a) Ohm
(b) Onnes
(c) Edison
(d) None of these

Answer

Answer: (b) Onnes


Question 35.
The specific resistance of a conductor increases with :
(a) increase in temperature
(b) increase in cross-sectional area
(c) decrease in length
(d) decrease in cross-sectional area

Answer

Answer: (a) increase in temperature


Question 36.
In an experiment with potentiometer, null point with a cell is found at 240 cm. When the cell is shunted with a resistance 2 Ω, the null point becomes 120 cm internal resistance of cell is :
(a) 4 Ω
(b) 2 Ω
(c) 1 Ω
(d) \(\frac{1}{2}\) Ω

Answer

Answer: (b) 2Ω


Question 37.
Two conductors of equal length and radii the ratio of 2 : 3 are; connected in parallel the source of electricity. The ratio of the velocity of electrons in the conductor be :
(a) 2 : 3
(b) 4 : 9
(c) 1 : 1
(d) 3 : 2

Answer

Answer: (c) 1 : 1


Question 38.
The charge flowing in a conductor varies with time as :
q = αt \(\frac{1}{2}\) βt² + \(\frac{1}{6}\) γt³
Where α, β, γ are positive constants. Then the initial current (l) is given by the condition :
(a) l = α
(b) l = α²
(c) l = α-1
(d) None of these

Answer

Answer: (a) l = α


Question 39.
In questions 38, the maximum value of current (lmax) is given by the condition :
(a) lmax = α – \(\frac{β^2}{2γ}\)
(b) lmax = α – \(\frac{β^2}{2α}\)
(c) lmax = α – \(\frac{γ^2}{2β}\)
(d) None of these

Answer

Answer: (a) lmax = α – \(\frac{β^2}{2γ}\)


Question 40.
In questions 38, the line (t) after which the value of current reaches a maximum values given by :
(a) t = \(\frac{α}{β}\)
(b) t = \(\frac{β}{α}\)
(c) t = \(\frac{β}{γ}\)
(d) t = \(\frac{γ}{β}\)

Answer

Answer: (a) t = \(\frac{α}{β}\)


Question 41.
In following figure shows currents in a part of electrical circuit, then the value of/(in ampere) is given by :
MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers
(a) 0.3 A
(b) 0.5 A
(c) 1.3 A
(d) None of these

Answer

Answer: (a) 0.3 A


Question 42.
The smallest resistance that can be obtained by the combination of n resistors each resistance r is :
(a) \(\frac{r}{n}\)
(b) nr
(c) \(\frac{n}{r}\)
(d) n²r

Answer

Answer: (a) \(\frac{r}{n}\)


Question 43.
Which of the following has a negative temperature coefficient of resistance ?
(a) Tungsten
(b) Carbon
(c) Nichrome
(d) Platinum

Answer

Answer: (b) Carbon


Question 44.
An electric heating element consumes 500 W, when connected to a 100 V line. If the line voltage becomes 150 V, the power consumed Will be:
(a) 500 W
(b) 750 W
(c) 1000 W
(d) 1125 W

Answer

Answer: (b) 750 W


Question 45.
A uniform w ire connected across a supply produces heat H per second. If wire is cut into three equal parts and all the parts are connected in parallel across the same supply, the heat produced per second will be :
(a) \(\frac{H}{9}\)
(b) 9 H
(c) 3 H
(d) \(\frac{H}{3}\)

Answer

Answer: (d) \(\frac{H}{3}\)


Question 46.
In India electricity is supplied fordomestic use at 220 V. It is supplied at 110 V in U.S.A. If the resistance of a 60 W bulb use in India is R. the resistance of a 60 W bulb for use in USA will be:
(a) 2 R
(b) R
(c) R/2
(d) R/4

Answer

Answer: (d) R/4


Question 47.
In the following figure represents a balanced Wheatstone bridge circuit. What is the value of X ?
MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers
(a) 15 Ω
(b) 20 Ω
(c) 25 Ω
(d) 30 Ω

Answer

Answer: (c) 25 Ω


Question 48.
Two bulbs 25 W, 220 V and 100 W, 220 V are given. Which has higher resistance?
(a) 25 W
(b) 100 W
(c) both bulbs have equal resistance
(d) resistance of bulbs can not be compared

Answer

Answer: (a) 25 W


Question 49.
Potentiometer measures the potential difference more accurately than a voltmeter because:
(a) It has a wire of high resistance
(b) It has a wire of low resistance
(c) It does not draw current from external circuit
(d) It draws heavy current from external circuit

Answer

Answer: (c) It does not draw current from external circuit


Question 50.
In a Wheatstone bridge, the resistance each arm is 10 Ω. If the resistance galvanometers is also 10 Ω, then effective resistance of the bridge will be :
(a) 40 Ω
(b) 20 Ω
(c) 10 Ω
(d) 5 Ω

Answer

Answer: (c) 10 Ω


In a Wheatstone bridge, the resistance each arm is 10 Ω. If the resistance galvanometers is also 10 Ω, then effective resistance of the bridge will be :

Question 51.
The resistance of an aluminium wire is/i. It is stretched to /i times its original length. Its new resistance will be :
(a) nr
(b) n²r
(c) \(\frac{n^2}{r}\)
(d) \(\frac{r}{n^2}\)

Answer

Answer: (b) n²r


Question 52.
A wire P is half the diameter and half the length of a wire Q of similar material. The ratio of resistances of P to that 0 is:
(a) 4 : 1
(b) 8 : 1
(c) 2 : 1
(d) 1 : 2

Answer

Answer: (c) 2 : 1


Question 53.
What is the resistance across A and B in the network in Fig.?
(a) R
(b) 2 R
(c) \(\frac{R}{2}\)
(d) 6 R

Answer

Answer: (a) R


Question 54.
When the wires are connected in parallel, the heat produced in the thinner wire is H1 and that in the thicker wire is H2 Then:
(a) H1 = H2
(b) H1 < H2
(c) H1 > H2
(d) H1 ≥ H2

Answer

Answer: (b) H1 < H2


Question 55.
Two equal resistors are connected in series across a battery and consume a power of P. If these are connected in parallel, then the’ power consumed will be:
(a) 2P
(b) 4P
(c) \(\frac{p}{4}\)
(d) P

Answer

Answer: (b) 4P


Question 56.
Thermo electricity was discovered by:
(a) Joule
(b) Peitier
(c) Thomson
(d) Seebeck

Answer

Answer: (d) Seebeck


Question 57.
Thermo emf is the order of:
(a) 10 V
(b) 10-3 V
(c) 10-6 V
(d) 10-12 V

Answer

Answer: (c) 10-6 V


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 3 Current Electricity with Answers Pdf free download will help you. If you have any queries regarding Current Electricity CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Chemistry Chapter 7 The p-Block Elements with Answers

MCQ Questions for Class 12 Chemistry Chapter 7 The p-Block Elements with Answers

Check the below NCERT MCQ Questions for Class 12 Chemistry Chapter 7 The p-Block Elements with Answers Pdf free download. MCQ Questions for Class 12 Chemistry with Answers were prepared based on the latest exam pattern. We have provided The p-Block Elements Class 12 Chemistry MCQs Questions with Answers to help students understand the concept very well.

The p-Block Elements Class 12 MCQs Questions with Answers

P Block Elements Class 12 MCQ Question 1.
Boron shows diagonal relation with
(a) Al
(b) C
(c) Si
(d) Sn

Answer

Answer: (c) Si


MCQ Of P Block Elements Class 12 Question 2.
Catenation property is maximum in
(a) phosphorus
(b) carbon
(c) sulphur
(d) zinc

Answer

Answer: (b) carbon


MCQ On P Block Elements Class 12 Question 3.
Which one of the following is an electrophilic reagent?
(a) BF3
(b) KH3
(c) H2O
(d) None of these

Answer

Answer: (a) BF3


P Block Elements MCQ Question 4.
Element found from sea water is
(a) magnesium
(b) Sodium
(c) Iodine
(d) None of these

Answer

Answer: (c) Iodine


Element found from sea water is

P Block MCQ Class 12 Question 5.
The shape of XeF4 is
(a) tetrahedral
(b) square planar
(c) pyramidal
(d) linear

Answer

Answer: (b) square planar


P Block Class 12 MCQ Question 6.
Which one of the following is the strongest lewis acid?
(a) BF3
(b) BCl3
(c) BBr3
(d) Bl3

Answer

Answer: (b) BCl3


Class 12 P Block MCQ Question 7.
Which one of the following does not form hydrogen bonding?
(a) NH3
(b) H2O
(c) HCl
(d) HF

Answer

Answer: (c) HCl


P Block Elements MCQ Class 12 Question 8.
Main source of helium is
(a) Air
(b) Radium
(c) Monazite
(d) Water

Answer

Answer: (c) Monazite


Class 12 Chemistry P Block MCQ Question 9.
Which one of the following dement is liquid at normal temperature?
(a) zinc
(b) mercury
(c) bromine
(d) water

Answer

Answer: (b) mercury


Class 12 Chemistry Chapter 7 MCQ Question 10.
Which one of the following is least basic?
(a) NCl3
(b) NBr3
(c) NI3
(d) NF3

Answer

Answer: (c) NI3


P Block Elements Class 12 MCQs Question 11.
H2SO4 is a/an
(a) acid
(b) base
(c) alkali
(d) salt

Answer

Answer: (a) acid


P Block Elements MCQs Question 12.
Modern periodic table is given by
(a) Debonair
(b) Mendeleef
(c) Mendel
(d) None of these

Answer

Answer: (b) Mendeleef


Class 12 P Block Elements MCQ Question 13.
Which one of the following elements is found in free state in nature?
(a) Sodium
(b) Iron
(c) Zinc
(d) Gold

Answer

Answer: (d) Gold


MCQs On P Block Elements Class 12 Question 14.
Which of the following is the strongest oxidising agent?
(a) F2
(b) Cl2
(c) l2
(d) Br2

Answer

Answer: (a) F2


P Block Elements Class 12 MCQ Questions Question 15.
Which of the following has maximum ionisation potential?
(a) Al
(b) P
(c) Si
(d) Mg

Answer

Answer: (b) P


Question 16.
The number of P-O-P bonds in cyclic metaphosphoric acid is
(a) 2
(b) 0
(c) 3
(d) 4

Answer

Answer: (a) 2


Question 17.
Which of the following oxides is an hydride of nitrous acid ?
(a) N2O3
(b) NO2
(c) NO
(d) N2O4

Answer

Answer: (a) N2O3


Question 18.
Which oxide of nitrogen is obtained on heating ammonium nitrate at 250°C ?
(a) Nitric oxide
(b) Nitrous oxide
(c) Nitrogen dioxide
(d) Dinitrogen tetraoxide

Answer

Answer: (b) Nitrous oxide


Question 19.
Atomicity of phosphorus is
(a) 1
(b) 2
(c) 3
(d) 4

Answer

Answer: (d) 4


Question 20.
The structure of white phosphorus is
(a) square-planar
(b) pyramidal
(c) tetrahedral
(d) trigonal planar

Answer

Answer: (c) tetrahedral


Question 21.
PCl3 on hydrolysis gives
(a) H3PO3
(b) HPO3
(c) H3PO4
(d) POCl3

Answer

Answer: (a) H3PO3


Question 22.
Arrange the following in decreasing Lewis acid strength -PF3, PCI3, PBr3, Pl3
(a) Pl3 > PBr3 > PCl3 > PF3
(b) PF3 > PCl3 > PBr3 > Pl3
(c) PCl3 > PBr3 > Pl3 > PF3
(d) PBr3 > Pl3 > PF3 > PCl3

Answer

Answer: (a) Pl3 > PBr3 > PCl3 > PF3


Question 23.
How many P-O-P bonds appear in cyclic meta-phosphoric acid?
(a) 4
(b) 3
(c) 2
(d) 1

Answer

Answer: (b) 3


Question 24.
Which of the following is a tetrabasic acid?
(a) Hypophosphorus acid
(b) Metaphosphoric acid
(c) Pyrophosphoric acid
(d) Orthophosphoric acid

Answer

Answer: (c) Pyrophosphoric acid


Question 25.
Which of the following is not correctly matched?
(a) PCl5-sp3d hybridisation
(b) PCl3-sp3 hybridisation
(c) PCl5 (solid)-[PtCl4] [PtCl3]
(d) H3PO3 -tribasic

Answer

Answer: (d) H3PO3 -tribasic


Question 26.
Arrange the following hydrides of group 16 elements in order of increasing stability
(a) H2S < H2O < H2Te > H2Se
(b) H2O < H2Te < H2Se < H2S
(c) H2O < H2S < H2Se < H2Te
(d) H2Te < H2Se < H2S < H3O

Answer

Answer: (d) H2Te < H2Se < H2S < H3O


Question 27.
The hybridisation of sulphur in sulphur hexafluoride is
(a) sp3d
(b) sp3d2
(c) sp3d3
(d) sp3

Answer

Answer: (b) sp3d2


The hybridisation of sulphur in sulphur hexafluoride is

Question 28.
On heating KCIO, we get
(a) KClO2 + O2
(b) KCl + O2
(c) KCI + O3
(d) KCl + O2 + O3

Answer

Answer: (b) KCl + O2


Question 29.
Which of the following is not correctly matched?
(a) Acidic oxides-P2O5 NO2, CL2O7
(b) Basic oxides-Na2Om, CaO, MgO
(c) Neutral oxides-CO2, CO, BeO
(d) Amphoteric oxides-ZnO, SnO,Al2O3

Answer

Answer: (c) Neutral oxides-CO2, CO, BeO


Question 30.
Sulphur molecule is
(a) diatomic
(b) triatamic
(c) tetratomic
(d) Octa-atomic

Answer

Answer: (d) Octa-atomic


We hope the given NCERT MCQ Questions for Class 12 Chemistry Chapter 7 The p-Block Elements with Answers Pdf free download will help you. If you have any queries regarding The p-Block Elements CBSE Class 12 Chemistry MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers

MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Electromagnetic Waves Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Electromagnetic Waves Class 12 MCQs Questions with Answers

MCQ On Electromagnetic Waves Class 12 Question 1.
The dimensional formula of \(\vec{E}\) is:
(a)[MLT-2A-1]
(b) [MLT-3A-1]
(c) [MLT-2A-2]
(d) None of these

Answer

Answer: (b) [MLT-3A-1]


Electromagnetic Waves Class 12 MCQ Question 2.
The dimensional formula of is:
(a) [MLT-2A-1]
(b) [ML0T-2A-1]
(c) [ML0T-3A-1]
(d) None of these

Answer

Answer: (b) [ML0T-2A-1]


Electromagnetic Waves MCQ Class 12 Question 3.
Which of the following has the dimensions of current?
(a) ε0 \(\vec{E}\).\(\vec{dt}\)
(b) µ0 \(\vec{E}\).\(\vec{dt}\)
(c) \(\frac{\vec{B}.\vec{dl}}{µ_0}\)
(d) \(\frac{\vec{B}.\vec{dl}}{ε_0}\)

Answer

Answer: (c) \(\frac{\vec{B}.\vec{dl}}{µ_0}\)


MCQ On Electromagnetic Waves Class 12 Question 4.
Which of the following has the dimensions of charge?
(a) \(\frac{ε_0\vec{E}}{\vec{ds}}\)
(b) µ0 \(\vec{E}\).\(\vec{ds}\)
(c) \(\frac{ε_0}{µ_0}\) \(\vec{E}\).\(\vec{ds}\)
(d) \(\frac{µ_0}{ε_0}\) \(\vec{E}\).\(\vec{ds}\)

Answer

Answer: (a) \(\frac{ε_0\vec{E}}{\vec{ds}}\)


Class 12 Physics Chapter 8 MCQ Question 5.
Maxwell’s equation involving \(\frac{d}{dt}\) \(\vec{B}\) is obtained-from:
(a) Ampere’s law
(b) Gauss’s law
(c) Faraday’s law
(d) Biot-Savart’s law

Answer

Answer: (c) Faraday’s law


Electromagnetic Waves MCQ Pdf Class 12 Question 6.
The dimensions of \(\vec{E}\), \(\vec{dl}\) are identical to that of:
(a) potential
(b) charge
(c) current
(d) None of these

Answer

Answer: (a) potential


Electromagnetic Waves MCQ Questions Class 12 Question 7.
Which of the following laws was modified by Maxwell by introducing the displacement current?
(a) Gauss’s law
(b) Ampere’s law
(c) Biot-Savart’s law
(d).None of these

Answer

Answer: (b) Ampere’s law


Which of the following laws was modified by Maxwell by introducing the displacement current?

MCQ On Electromagnetic Wave With Answers Class 12 Question 8.
Choose the wave relevant to telecommunication :
(a) ultraviolet
(b) infrared
(c) microwave
(d) visible light

Answer

Answer: (c) microwave


MCQs On Electromagnetic Waves Class 12 Question 9.
Electromagnetic waves have a speed of
(a) 3 × 105 kms-1
(b)3 × 106 kms-1
(c) 3 × 107 kms-1
(d) 3 × 108 kms-1

Answer

Answer: (a) 3 × 105 kms-1


Electromagnetic Waves Are Produced By MCQ Class 12 Question 10.
Which of the following EMW has highest wavelength?
(a) X-ray
(b) ultraviolet rays
(c) infrared rays
(d) microwaves

Answer

Answer: (c) infrared rays


Electromagnetic Waves MCQs Class 12 Question 11.
Displacement current is due to:
(a) the flow of electrons
(b) the Varying electric field
(c) the ionization of atmosphere
(d) the flow of protons

Answer

Answer: (b) the Varying electric field


Electromagnetic Waves Objective Questions Class 12 Question 12.
Displacement current is always :
(a) equal to conduction current
(b) less than conduction current
(c) greater than conduction current
(d) the sum of current due to flow of positive and negative ions

Answer

Answer: (a) equal to conduction current


Electromagnetic Waves MCQs Class 12 Question 13.
EMW are produced by:
(a) charge in uniform motion only
(b) charge at rest only
(c) accelerated or decelerated charge only
(d) all of the above

Answer

Answer: (c) accelerated or decelerated charge only


Electromagnetic Wave MCQ Class 12 Question 14.
Who first demonstrated the existence of em waves?
(a) Hertz
(b) Maxwell
(c) Ampere
(d) Faraday

Answer

Answer: (a) Hertz


MCQ On Displacement Current Class 12 Question 15.
If \(\vec{B}\) is the magnetic field vector and \(\vec{E}\) is the electric field vector in an em wave, then which of the following relations is correct? Here c is the speed of fight:
(a) c = \(\frac{E}{B}\)
(b) c = BE
(c) c = \(\frac{B}{E}\)
(d) c = \(\frac{1}{EB}\)

Answer

Answer: (a) c = \(\frac{E}{B}\)


Question 16.
The dimensions of E/Bare same as that of:
(a) charge
(b) current
(c) velocity
(d) acceleration

Answer

Answer: (c) velocity


Question 17.
Name the law which states that a varying electric field produces a magnetic field:
(a) Biot-Savart’s law
(b) Faraday’s law
(c) Modified Ampere’s law
(d) None of these

Answer

Answer: (c) Modified Ampere’s law


Question 18.
The existence of EMW was experimentally established by :
(a) Sir S. C. Bose
(b) Maxwell
(c) Marconi
(d) Hertz

Answer

Answer: (a) Sir S. C. Bose


Question 19.
An EMW of v = 3 MHz passes from vacuum into dielectric medium with permittivity Er = 4, then:
(a) Wavelength is doubled and the frequency remains unchanged
(b) Wavelength is doubled and the frequency become half
(c) Wavelength is halved and the frequency remains unchanged
(d) Wavelength and frequency both remain unchanged

Answer

Answer: (c) Wavelength is halved and the frequency remains unchanged


Question 20.
Frequency of a wave is 6 × 1015. Hz. The wave is :
(a) Radiowave
(b) Microwave
(c) X-ray
(d) Ultra violet

Answer

Answer: (d) Ultra violet


Question 21.
Choose the wrong statement?
(a) Electromagnetic waves are transverse
(b) Electromagnetic waves travel with the speed of light in free space
(c) Electromagnetic waves are produced by accelerating charges
(d) Electromagnetic waves travel with the same speed in all media

Answer

Answer: (d) Electromagnetic waves travel with the same speed in all media


Question 22.
If ue and um arc the electric and magnetic field densities in an electromagnetic wave, then (c is the speed of light):
(a) ue = um
(b) ue = c um
(c) ue = \(\frac{u_m}{c}\)
(d) None of these

Answer

Answer: (a) ue = um


Question 23.
Solar radiation is :
(a) transverse EMW
(b) longitudinal EMW
(c) both (a) and (b)
(d) None of these

Answer

Answer: (a) transverse EMW


Solar radiation is :

Question 24.
Ampere’s circuital law was modified by:
(a) Laplace
(b) Gauss
(c) Maxwell
(d) Hertz

Answer

Answer: (c) Maxwell


Question 25.
Light Year is the unit of:
(a) distance
(b) time
(c) energy
(d) intensity of light

Answer

Answer: (a) distance


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 8 Electromagnetic Waves with Answers Pdf free download will help you. If you have any queries regarding Electromagnetic Waves CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Physics Chapter 15 Communication Systems with Answers

MCQ Questions for Class 12 Physics Chapter 15 Communication Systems with Answers

Check the below NCERT MCQ Questions for Class 12 Physics Chapter 15 Communication Systems with Answers Pdf free download. MCQ Questions for Class 12 Physics with Answers were prepared based on the latest exam pattern. We have provided Communication Systems Class 12 Physics MCQs Questions with Answers to help students understand the concept very well.

Communication Systems Class 12 MCQs Questions with Answers

MCQ On Communication System Class 12 Question 1.
Who undertook the first space walk and in which year?
(a) Leonov 1965
(b) Neil Armstrong, 1969
(c) Rakesh Sharma. 1998
(d) None of these

Answer

Answer: (a) Leonov 1965


MCQ On Communication System Class 12 Pdf Question 2.
The term used “to collect the information about an object and a place without physical contact” is called :
(a) modulation
(b) communication
(c) amplification
(d) remote sensing

Answer

Answer: (d) remote sensing


Communication System Class 12 MCQ Question 3.
The velocity of electromagnetic wave is:
(a) 3 × 105 ms-1
(b) 3 × 106 ms-1
(c) 3 × 108 ms-1
(d) 3 × 1010 ms-1

Answer

Answer: (c) 3 × 108 ms-1


Chapter 15 Physics Class 12 MCQs Question 4.
The audio frequencies range from:
(a) 20 Hz to 20.000 kHz
(b) 20 Hz to 20 kHz
(c) 20 kHz to 20.000 kHz
(d) None of these

Answer

Answer: (b) 20 Hz to 20 kHz


MCQ On Communication System Question 5.
The wavelength of a wave of frequency 10 kHz is:
(a) 30 m
(b) 300 m
(c) 30 km
(d) 300 km

Answer

Answer: (c) 30 km


The wavelength of a wave of frequency 10 kHz is:

Communication Systems MCQ Question 6.
The area served by an antenna of height 100 m is:
(a) 109
(b) 4 × 109
(c) 6 × 109
(d) 8 × 1010

Answer

Answer: (b) 4 × 109


Communication System MCQ Pdf Question 7.
Which of the following is not transducer?
(a) Loudspeaker
(b) Amplifier
(c) Microphone
(d) All

Answer

Answer: (b) Amplifier


MCQ On Communication Question 8.
The space waves which are affected seriously by atmospheric conditions are:
(a) MF
(b) HUF
(c) VHF
(d) UHF

Answer

Answer: (d) UHF


Communication System MCQ Questions Question 9.
An antenna is:
(a) Inductive
(b) Capacitive
(c) Resistive
(d) A transformer

Answer

Answer: (a) Inductive


Communication System MCQs Question 10.
Broadcasting antenna are generally:
(a) Ommi directional type
(b) Vertical type
(c) Horizontal type
(d) None

Answer

Answer: (b) Vertical type


MCQ On Communication With Answers Question 11.
The modulation index in amplitude modulation is:
(a) Always zero
(b) Between 0 and 1
(c) Between 1 and ∞
(d) None of these

Answer

Answer: (c) Between 1 and ∞


Communication Physics Pdf Question 12.
The output of a digital computer is an example of:
(a) digital signal
(b) analog signal
(c) both (a) and (b)
(d) neither (a) nor (b)

Answer

Answer: (a) digital signal


Communication Systems Class 12 Question 13.
Name the man who was first to place his foot on the moon and in which year:
(a) Neil Armstrong, 1969
(b) James Van A lien, 1971
(c) Leonov, 1965
(d) None of these

Answer

Answer: (a) Neil Armstrong, 1969


Physics MCQ Class 12 Question 14.
A microphone converts:
(a) sound signals into electrical signals
(b) electrical signals into sound signals
(c) both (a) and (b)
(d) Neither (a) nor (b)

Answer

Answer: (a) sound signals into electrical signals


Communication System MCQ Question 15.
A loudspeaker converts:
(a) electrical signals into sound signals
(b) sound signals into electrical signals
(c) both (a) and (b)
(d) neither (a) nor (b)

Answer

Answer: (a) electrical signals into sound signals


Question 16.
The sound produced by a tuning fork is a sort of:
(a) analog signal
(b) digital signal
(c) both (a) and (b)
(d) neither (a) nor (b)

Answer

Answer: (a) analog signal


Question 17.
The length of a half wave dipole at 30 mega-hertz is:
(a) 5 m
(b) 10 m
(c) 25 m
(d) 80 m

Answer

Answer: (a) 5 m


Question 18.
In space communication, the sound waves can be sent from one place to another:
(a) through space
(b) through wires
(c) by superimposing it on undamped electro-magnetic waves
(d) by superimposing it on damped electro-magnetic waves

Answer

Answer: (c) by superimposing it on undamped electro-magnetic waves


Question 19.
The output of a digital computer is an example of:
(a) digital signal
(b) analog signal
(c) both (a) and (b) above
(d) neither (a) nor (b)

Answer

Answer: (a) digital signal


Question 20.
Which is more advantageous?
(a) analog data communication
(b) digital data communication
(c) both (a) and (b) are equally good
(d) depends on the situation

Answer

Answer: (b) digital data communication


Question 21.
Communication channel consists of:
(a) transmission line only
(b) optical fibre only
(c) free space only
(d) All of the above

Answer

Answer: (d) All of the above


Question 22.
AM is used for broadcasting because:
(a) it is more noise immune than other modulation system
(b) it requires less transmitting power compare with other systems
(c) its use avoids receiver complexity
(d) No other modulation system can provide the necessary bandwidth faithful transmission

Answer

Answer: (c) its use avoids receiver complexity


Question 23.
Digital signals:
(a) represents values as discrete steps
(b) Do not represents values as discrete steps
(c) represent values steps
(d) represent random steps

Answer

Answer: (a) represents values as discrete steps


Question 24.
Digital signals:
(a) deal with all sort of values
(b) can use decimal system
(c) can use binary system
(d) (b) and (c) both

Answer

Answer: (d) (b) and (c) both


Digital signals:

Question 25.
Increase in frequency deviation results into:
(a) increase in noise of FM receiver
(b) decrease in noise of AM receiver
(c) increase in noise of Am receiver
(d) decrease in noise of FM receiver

Answer

Answer: (b) decrease in noise of AM receiver


We hope the given NCERT MCQ Questions for Class 12 Physics Chapter 15 Communication Systems with Answers Pdf free download will help you. If you have any queries regarding Communication Systems CBSE Class 12 Physics MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers

MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Application of Derivatives Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Application of Derivatives Class 12 MCQs Questions with Answers

Question 1.
The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the are increases, when side is 10 cm is
(a) 10 cm²/s
(b) √3 cm²/s
(c) 10√3 cm²/s
(d) \(\frac{10}{3}\) cm²/s

Answer

Answer: (c) 10√3 cm²/s


Question 2.
A ladder, 5 meter long, standing oh a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10 cm/sec, then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is
(a) \(\frac{1}{10}\) radian/sec
(b) \(\frac{1}{20}\) radian/sec
(c) 20 radiah/sec
(d) 10 radiah/sec

Answer

Answer: (b) \(\frac{1}{20}\) radian/sec


Question 3.
The curve y – x1/5 at (0, 0) has
(a) a vertical tangent (parallel to y-axis)
(b) a horizontal tangent (parallel to x-axis)
(c) an oblique tangent
(d) no tangent

Answer

Answer: (b) a horizontal tangent (parallel to x-axis)


Question 4.
The equation of normal to the curve 3x² – y² = 8 which is parallel to the line ,x + 3y = 8 is
(a) 3x – y = 8
(b) 3x + y + 8 = 0
(c) x + 3y ± 8 = 0
(d) x + 3y = 0

Answer

Answer: (c) x + 3y ± 8 = 0


Question 5.
If the curve ay + x² = 7 and x³ = y, cut orthogonally at (1, 1) then the value of a is
(a) 1
(b) 0
(c) -6
(d) 6

Answer

Answer: (d) 6


Question 6.
If y = x4 – 10 and if x changes from 2 to 1.99 what is the change in y
(a) 0.32
(b) 0.032
(c) 5.68
(d) 5.968

Answer

Answer: (a) 0.32


Question 7.
The equation of tangent to the curve y (1 + x²) = 2 – x, w here it crosses x-axis is:
(a) x + 5y = 2
(b) x – 5y = 2
(c) 5x – y = 2
(d) 5x + y = 2

Answer

Answer: (a) x + 5y = 2


Question 8.
The points at which the tangents to the curve y = x² – 12x +18 are parallel to x-axis are
(a) (2, – 2), (- 2, -34)
(b) (2, 34), (- 2, 0)
(c) (0, 34), (-2, 0)
(d) (2, 2),(-2, 34).

Answer

Answer: (d) (2, 2),(-2, 34).


Question 9.
The tangent to the curve y = e2x at the point (0, 1) meets x-axis at
(a) (0, 1)
(b) (-\(\frac{1}{2}\), 0)
(c) (2, 0)
(d) (0, 2)

Answer

Answer: (b) (-\(\frac{1}{2}\), 0)


Question 10.
The slope of tangent to the curve x = t² + 3t – 8, y = 2t² – 2t – 5 at the point (2, -1) is
(a) \(\frac{22}{7}\)
(b) \(\frac{6}{7}\)
(c) \(\frac{-6}{7}\)
(d) -6

Answer

Answer: (c) \(\frac{-6}{7}\)


Question 11.
The two curves; x³ – 3xy² + 2 = 0 and 3x²y – y³ – 2 = 0 intersect at an angle of
(a) \(\frac{π}{4}\)
(b) \(\frac{π}{3}\)
(c) \(\frac{π}{2}\)
(d) \(\frac{π}{6}\)

Answer

Answer: (a) \(\frac{π}{4}\)


Question 12.
The interval on which the function f (x) = 2x³ + 9x² + 12x – 1 is decreasing is
(a) [-1, ∞]
(b) [-2, -1]
(c) [-∞, -2]
(d) [-1, 1]

Answer

Answer: (b) [-2, -1]


Question 13.
Let the f: R → R be defined by f (x) = 2x + cos x, then f
(a) has a minimum at x = 3t
(b) has a maximum, at x = 0
(c) is a decreasing function
(d) is an increasing function

Answer

Answer: (d) is an increasing function


Let the f: R → R be defined by f (x) = 2x + cos x, then f

Question 14.
y = x (x – 3)² decreases for the values of x given by
(a) 1 < x < 3
(b) x < 0
(c) x > 0
(d) 0 < x <\(\frac{3}{2}\)

Answer

Answer: (a) 1 < x < 3


Question 15.
The function f(x) = 4 sin³ x – 6 sin²x + 12 sin x + 100 is strictly
(a) increasing in (π, \(\frac{3π}{2}\))
(b) decreasing in (\(\frac{π}{2}\), π)
(c) decreasing in [\(\frac{-π}{2}\),\(\frac{π}{2}\)]
(d) decreasing in [0, \(\frac{π}{2}\)]

Answer

Answer: (c) decreasing in [\(\frac{-π}{2}\),\(\frac{π}{2}\)]


Question 16.
Which of the following functions is decreasing on(0, \(\frac{π}{2}\))?
(a) sin 2x
(b) tan x
(c) cos x
(d) cos 3x

Answer

Answer: (c) cos x


Question 17.
The function f(x) = tan x – x
(a) always increases
(b) always decreases
(c) sometimes increases and sometimes decreases
(d) never increases

Answer

Answer: (a) always increases


Question 18.
If x is real, the minimum value of x² – 8x + 17 is
(a) -1
(b) 0
(c) 1
(d) 2

Answer

Answer: (d) 2


Question 19.
The smallest value of the polynomial x³ – 18x² + 96x in [0, 9] is
(a) 126
(b) 0
(c) 135
(d) 160

Answer

Answer: (b) 0


Question 20.
The function f(x) = 2x³ – 3x² – 12x + 4 has
(a) two points of local maximum
(b) two points of local minimum
(c) one maxima and one minima
(d) no maxima or minima

Answer

Answer: (c) one maxima and one minima


Question 21.
The maximum value of sin x . cos x is
(a) \(\frac{1}{4}\)
(b) \(\frac{1}{2}\)
(c) √2
(d) 2√2

Answer

Answer: (b) \(\frac{1}{2}\)


Question 22.
At x = \(\frac{5π}{6}\), f (x) = 2 sin 3x + 3 cos 3x is
(a) maximum
(b) minimum
(c) zero
(d) neither maximum nor minimum

Answer

Answer: (d) neither maximum nor minimum


Question 23.
Maximum slope of the curve y = -x³ + 3x² + 9x – 27 is
(a) 0
(b) 12
(c) 16
(d) 32

Answer

Answer: (a) 0


Question 24.
f(x) = xx has a stationary point at
(a) x = e
(b) x = \(\frac{1}{e}\)
(c) x = 1
(d) x = √e

Answer

Answer: (b) x = \(\frac{1}{e}\)


Question 25.
The maximum value of (\(\frac{1}{x}\))x is
(a) e
(b) e²
(c) e1/x
(d) (\(\frac{1}{e}\))1/e

Answer

Answer: (d) (\(\frac{1}{e}\))1/e


Question 26.
If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is
(a) a constant
(b) proportional to the radius
(c) inversely proportional to the radius
(d) inversely proportional to the surface area

Answer

Answer: (d) inversely proportional to the surface area


Question 27.
A particle is moving along the curve x = at² + bt + c. If ac = b², then particle would be moving with uniform
(a) rotation
(b) velocity
(c) acceleration
(d) retardation

Answer

Answer: (c) acceleration


Question 28.
The distance Y metres covered by a body in t seconds, is given by s = 3t² – 8t + 5. The body will stop after
(a) 1 s
(b) \(\frac{3}{4}\) s
(c) \(\frac{4}{3}\) s
(d) 4 s

Answer

Answer: (c) \(\frac{4}{3}\) s


Question 29.
The position of a point in time Y is given by x = a + bt + ct², y = at + bt². Its acceleration at timet Y is
(a) b – c
(b) b + c
(c) 2b – 2c
(d) 2\(\sqrt{b^2+c^2}\)

Answer

Answer: (d) 2\(\sqrt{b^2+c^2}\)


Question 30.
The function f(x) = log (1 + x) – \(\frac{2x}{2+x}\) is increasing on
(a) (-1, ∞)
(b) (-∞, 0)
(b) (-∞, ∞)
(d) None of these

Answer

Answer: (a) (-1, ∞)


Question 31.
f(x) = (\(\frac{e^{2x}-1}{e^{2x}+1}\)) is
(a) an increasing function
(b) a decreasing function
(c) an even function
(d) None of these

Answer

Answer: (a) an increasing function


Question 32.
If f (x) = \(\frac{x}{sin x}\) and g (x) = \(\frac{x}{tan x}\), 0 < x ≤ 1, then in the interval
(a) both f (x) and g (x) are increasing functions
(b) both f (x) and g (x) are decreasing functions
(c) f(x) is an increasing function
(d) g (x) is an increasing function

Answer

Answer: (c) f(x) is an increasing function


Question 33.
The function f(x) = cot-1 x + x increases in the interval
(a) (1, ∞)
(b) (-1, ∞)
(c) (0, ∞)
(d) (-∞, ∞)

Answer

Answer: (d) (-∞, ∞)


Question 34.
The function f(x) = \(\frac{x}{log x}\) increases on the interval
(a) (0, ∞)
(b) (0, e)
(c) (e, ∞)
(d) None of these

Answer

Answer: (c) (e, ∞)


Question 35.
The value of b for which the function f (x) = sin x – bx + c is decreasing for x ∈ R is given by
(a) b < 1
(b) b ≥ 1
(c) b > 1
(d) b ≤ 1

Answer

Answer: (c) b > 1


Question 36.
If f (x) = x³ – 6x² + 9x + 3 be a decreasing function, then x lies in
(a) (-∞, -1) ∩ (3, ∞)
(b) (1, 3)
(c) (3, ∞)
(d) None of these

Answer

Answer: (b) (1, 3)


Question 37.
The function f (x) = 1 – x³ – x5 is decreasing for
(a) 1 < x < 5
(b) x < 1
(c) x > 1
(d) all values of x

Answer

Answer: (d) all values of x


Question 38.
Function, f (x) = \(\frac{λ sin x+ 6 cos x}{2 sin x + 3 cos x}\) is monotonic increasing, if
(a) λ > 1
(b) λ < 1
(c) λ < 4
(d) λ > 4

Answer

Answer: (d) λ > 4


Question 39.
The length of the longest interval, in which the function 3 sin x – 4 sin³ x is increasing is
(a) \(\frac{π}{3}\)
(b) \(\frac{π}{2}\)
(c) \(\frac{3π}{2}\)
(d) π

Answer

Answer: (d) π


Question 40.
2x³ – 6x + 5 is an increasing function, if
(a) 0 < x < 1
(b) -1 < x < 1
(c) x < -1 or x > 1
(d) -1 < x < –\(\frac{1}{2}\)

Answer

Answer: (c) x < -1 or x > 1


2x³ - 6x + 5 is an increasing function, if

Question 41.
The function f(x) = x + cos x is
(a) always increasing
(b) always decreasing
(c) increasing for certain range of x
(d) None of these

Answer

Answer: (a) always increasing


Question 42.
The function which is neither decreasing nor increasing in (\(\frac{π}{2}\), \(\frac{3π}{2}\)) is
(a) cosec x
(b) tan x
(c) x²
(d) |x – 1|

Answer

Answer: (b) tan x


Question 43.
The function /’defined by f(x) = 44 – 2x + 1 is increasing for
(a) x < 1
(b) x > 0
(c) x < \(\frac{1}{2}\)
(d) x > \(\frac{1}{2}\)

Answer

Answer: (d) x > \(\frac{1}{2}\)


Question 44.
The interval in which the function y = x³ + 5x² – 1 is decreasing, is
(a) (0, \(\frac{1}{3}\))
(b) (0, 10)
(c) (\(\frac{-10}{3}\), 0)
(d) None of these

Answer

Answer: (c) (\(\frac{-10}{3}\), 0)


We hope the given NCERT MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives with Answers Pdf free download will help you. If you have any queries regarding Application of Derivatives CBSE Class 12 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.

MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Continuity and Differentiability Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Continuity and Differentiability Class 12 MCQs Questions with Answers

Continuity And Differentiability Class 12 MCQ Question 1.
If f (x) = 2x and g (x) = \(\frac{x^2}{2}\) + 1, then’which of the following can be a discontinuous function
(a) f(x) + g(x)
(b) f(x) – g(x)
(c) f(x).g(x)
(d) \(\frac{g(x)}{f(x)}\)

Answer

Answer: (d) \(\frac{g(x)}{f(x)}\)


Continuity And Differentiability MCQ Question 2.
The function f(x) = \(\frac{4-x^2}{4x-x^3}\) is
(a) discontinuous at only one point at x = 0
(b) discontinuous at exactly two points
(c) discontinuous at exactly three points
(d) None of these

Answer

Answer: (a) discontinuous at only one point at x = 0


Differentiation MCQ Class 12 Question 3.
The set of points where the function f given by f (x) =| 2x – 1| sin x is differentiable is
(a) R
(b) R = {\(\frac{1}{2}\)}
(c) (0, ∞)
(d) None of these

Answer

Answer: (b) R = {\(\frac{1}{2}\)}


MCQ On Continuity And Differentiability Question 4.
The function f(x) = cot x is discontinuous on the set
(a) {x = nπ, n ∈ Z}
(b) {x = 2nπ, n ∈ Z}
(c) {x = (2n + 1) \(\frac{π}{2}\) n ∈ Z}
(d) {x – \(\frac{nπ}{2}\) n ∈ Z}

Answer

Answer: (a) {x = nπ, n ∈ Z}


Class 12 Maths Chapter 5 MCQ Question 5.
The function f(x) = e|x| is
(a) continuous everywhere but not differentiable at x = 0
(b) continuous and differentiable everywhere
(c) not continuous at x = 0
(d) None of these

Answer

Answer: (a) continuous everywhere but not differentiable at x = 0


Continuity And Differentiability Class 12 MCQ Term 1 Question 6.
If f(x) = x² sin\(\frac{1}{x}\), where x ≠ 0, then the value of the function f(x) at x = 0, so that the function is continuous at x = 0 is
(a) 0
(b) -1
(c) 1
(d) None of these

Answer

Answer: (a) 0


Continuity And Differentiability Class 12 MCQ With Solutions Question 7.
If f(x) =MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answersis continuous at x = \(\frac{π}{2}\), then
(a) m = 1, n = 0
(b) m = \(\frac{nπ}{2}\) + 1
(c) n = \(\frac{mπ}{2}\)
(d) m = n = \(\frac{π}{2}\)

Answer

Answer: (c) n = \(\frac{mπ}{2}\)


MCQ Of Continuity And Differentiability Question 8.
If y = log(\(\frac{1-x^2}{1+x^2}\)), then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{4x^3}{1-x^4}\)
(b) \(\frac{-4x}{1-x^4}\)
(c) \(\frac{1}{4-x^4}\)
(d) \(\frac{-4x^3}{1-x^4}\)

Answer

Answer: (b) \(\frac{-4x}{1-x^4}\)


Class 12 Continuity And Differentiability MCQ Question 9.
Let f(x) = |sin x| Then
(a) f is everywhere differentiable
(b) f is everywhere continuous but not differentiable at x = nπ, n ∈ Z
(c) f is everywhere continuous but no differentiable at x = (2n + 1) \(\frac{π}{2}\) n ∈ Z
(d) None of these

Answer

Answer: (b) f is everywhere continuous but not differentiable at x = nπ, n ∈ Z


MCQ Of Differentiation Class 12 Question 10.
If y = \(\sqrt{sin x+y}\) then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{cosx}{2y-1}\)
(b) \(\frac{cosx}{1-2y}\)
(c) \(\frac{sinx}{1-xy}\)
(d) \(\frac{sinx}{2y-1}\)

Answer

Answer: (a) \(\frac{cosx}{2y-1}\)


MCQ Of Continuity And Differentiability Class 12 Question 11.
The derivative of cos-1 (2x² – 1) w.r.t cos-1 x is
(a) 2
(b) \(\frac{-1}{2\sqrt{1-x^2}}\)
(c) \(\frac{2}{x}\)
(d) 1 – x²

Answer

Answer: (a) 2


MCQ On Differentiation Class 12 Question 12.
If x = t², y = t³, then \(\frac{d^2y}{dx^2}\)
(a) \(\frac{3}{2}\)
(b) \(\frac{3}{4t}\)
(c) \(\frac{3}{2t}\)
(d) \(\frac{3}{4t}\)

Answer

Answer: (b) \(\frac{3}{4t}\)


MCQ On Differentiation Class 12 Pdf Question 13.
The value of c in Rolle’s theorem for the function f(x) = x³ – 3x in the interval [o, √3] is
(a) 1
(b) -1
(c) \(\frac{3}{2}\)
(d) \(\frac{1}{3}\)

Answer

Answer: (a) 1


MCQ Questions On Differentiation Class 12 Question 14.
For the function f(x) = x + \(\frac{1}{x}\), x ∈ [1, 3] the value of c for mean value theorem is
(a) 1
(b) √3
(c) 2
(d) None of these

Answer

Answer: (b) √3


MCQ On Continuity And Differentiability With Solutions Question 15.
Let f be defined on [-5, 5] as
f(x) = {\(_{-x, if x is irrational}^{x, if x is rational}\) Then f(x) is
(a) continuous at every x except x = 0
(b) discontinuous at everyx except x = 0
(c) continuous everywhere
(d) discontinuous everywhere

Answer

Answer: (b) discontinuous at everyx except x = 0


Class 12 Maths Ch 5 MCQ Question 16.
Let function f (x) = MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers
(a) continuous at x = 1
(b) differentiable at x = 1
(c) continuous at x = -3
(d) All of these

Answer

Answer: (d) All of these


Class 12 Maths Continuity And Differentiability MCQ Question 17.
If f(x) = \(\frac{\sqrt{4+x}-2}{x}\) x ≠ 0 be continuous at x = 0, then f(o) =
(a) \(\frac{1}{2}\)
(b) \(\frac{1}{4}\)
(c) 2
(d) \(\frac{3}{2}\)

Answer

Answer: (b) \(\frac{1}{4}\)


MCQ Of Chapter 5 Maths Class 12 Question 18.
let f(2) = 4 then f”(2) = 4 then \(_{x→2}^{lim}\) \(\frac{xf(2)-2f(x)}{x-2}\) is given by
(a) 2
(b) -2
(c) -4
(d) 3

Answer

Answer: (c) -4


Ch 5 Maths Class 12 MCQ Question 19.
It is given that f'(a) exists, then \(_{x→2}^{lim}\) [/latex] \(\frac{xf(a)-af(x)}{(x-a)}\) is equal to
(a) f(a) – af'(a)
(b) f'(a)
(c) -f’(a)
(d) f (a) + af'(a)

Answer

Answer: (a) f(a) – af'(a)


Class 12 Maths Chapter 5 MCQ Questions With Solutions Question 20.
If f(x) = \(\sqrt{25-x^2}\), then \(_{x→2}^{lim}\)\(\frac{f(x)-f(1)}{x-1}\) is equal to
(a) \(\frac{1}{24}\)
(b) \(\frac{1}{5}\)
(c) –\(\sqrt{24}\)
(d) \(\frac{1}{\sqrt{24}}\)

Answer

Answer: (d) \(\frac{1}{\sqrt{24}}\)


Question 21.
If y = ax² + b, then \(\frac{dy}{dx}\) at x = 2 is equal to ax
(a) 4a
(b) 3a
(c) 2a
(d) None of these

Answer

Answer: (a) 4a


If y = ax² + b, then dy/dx at x = 2 is equal to ax

Question 22.
If x sin (a + y) = sin y, then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{sin^2(a+y)}{sin a}\)
(b) \(\frac{sin a}{sin^2(a+y)}\)
(c) \(\frac{sin(a+y)}{sin a}\)
(d) \(\frac{sin a}{sin(a+y)}\)

Answer

Answer: (a) \(\frac{sin^2(a+y)}{sin a}\)


Question 23.
If x \(\sqrt{1+y}+y\sqrt{1+x}\) = 0, then \(\frac{dy}{dx}\) =
(a) \(\frac{x+1}{x}\)
(b) \(\frac{1}{1+x}\)
(c) \(\frac{-1}{(1+x)^2}\)
(d) \(\frac{x}{1+x}\)

Answer

Answer: (c) \(\frac{-1}{(1+x)^2}\)


Question 24.
If y = x tan y, then \(\frac{dy}{dx}\) =
(a) \(\frac{tan x}{x-x^2-y^2}\)
(b) \(\frac{y}{x-x^2-y^2}\)
(c) \(\frac{tan y}{y-x}\)
(d) \(\frac{tan x}{x-y^2}\)

Answer

Answer: (b) \(\frac{y}{x-x^2-y^2}\)


Question 25.
If y = (1 + x) (1 + x²) (1 + x4) …….. (1 + x2n), then the value of \(\frac{dy}{dx}\) at x = 0 is
(a) 0
(b) -1
(c) 1
(d) None of these

Answer

Answer: (c) 1


Question 26.
If f(x) = \(\frac{5x}{(1-x)^{2/3}}\) + cos² (2x + 1), then f'(0) =
(a) 5 + 2 sin 2
(b) 5 + 2 cos 2
(c) 5 – 2 sin 2
(d) 5 – 2 cos 2

Answer

Answer: (c) 5 – 2 sin 2


Question 27.
If sec(\(\frac{x^2-2x}{x^2+1}\)) – y then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{y*2}{x^2}\)
(b) \(\frac{2y\sqrt{y^2-1}(x^2+x-1)}{(x^2+1)^2}\)
(c) \(\frac{(x^2+x-1)}{y\sqrt{y^2-1}}\)
(d) \(\frac{x^2-y^2}{x^2+y^2}\)

Answer

Answer: (b) \(\frac{2y\sqrt{y^2-1}(x^2+x-1)}{(x^2+1)^2}\)


Question 28.
If f(x) = \(\sqrt{1+cos^2(x^2)}\), then the value of f’ (\(\frac{√π}{2}\)) is
(a) \(\frac{√π}{6}\)
(b) –\(\frac{√π}{6}\)
(c) \(\frac{1}{√6}\)
(d) \(\frac{π}{√6}\)

Answer

Answer: (b) –\(\frac{√π}{6}\)


Question 29.
Differential coefficient of \(\sqrt{sec√x}\) is
(a) \(\frac{1}{4√x}\) = sec √x sin √x
(b) \(\frac{1}{4√x}\) = (sec√x)3/2 sin√x
(c) \(\frac{1}{2}\) √x sec√x sin √x.
(d) \(\frac{1}{2}\)√x (sec√x)3/2 sin√x

Answer

Answer: (b) \(\frac{1}{4√x}\) = (sec√x)3/2 sin√x


Question 30.
Let f(x)={\(_{1-cos x, for x ≤ 0}^{sin x, for x > 0}\) and g (x) = ex. Then the value of (g o f)’ (0) is
(a) 1
(b) -1
(c) 0
(d) None of these

Answer

Answer: (c) 0


Question 31.
If xmyn = (x + y)m+n, then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{x+y}{xy}\)
(b) xy
(c) \(\frac{x}{y}\)
(d) \(\frac{y}{x}\)

Answer

Answer: (d) \(\frac{y}{x}\)


Question 32.
If \(\sqrt{(x+y)}\) + \(\sqrt{(y-x)}\) = a, then \(\frac{dy}{dx}\)
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

Answer

Answer: (a) \(\frac{\sqrt{(x+y)}-\sqrt{(y-x)}}{\sqrt{y-x}+\sqrt{x+y}}\)


Question 33.
If ax² + 2hxy + by² = 1, then \(\frac{dy}{dx}\)equals
(a) \(\frac{hx+by}{ax+by}\)
(b) \(\frac{ax+by}{hx+by}\)
(c) \(\frac{ax+hy}{hx+hy}\)
(d) \(\frac{-(ax+hy)}{hx+by}\)

Answer

Answer: (d) \(\frac{-(ax+hy)}{hx+by}\)


Question 34.
If sec (\(\frac{x-y}{x+y}\)) = a then \(\frac{dy}{dx}\) is
(a) –\(\frac{y}{x}\)
(b) \(\frac{x}{y}\)
(c) –\(\frac{x}{y}\)
(d) \(\frac{y}{x}\)

Answer

Answer: (d) \(\frac{y}{x}\)


Question 35.
If y = tan-1(\(\frac{sinx+cosx}{cox-sinx}\)) then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{1}{2}\)
(b) \(\frac{π}{4}\)
(c) 0
(d) 1

Answer

Answer: (d) 1


Question 36.
If y = tan-1(\(\frac{√x-x}{1+x^{3/2}}\)), then y'(1) is equal to
(a) 0
(b) (\(\frac{√x-x}{1+x^{3/2}}\))
(c) -1
(d) –\(\frac{1}{4}\)

Answer

Answer: (d) –\(\frac{1}{4}\)


Question 37.
The differential coefficient of tan-1(\(\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}\)) is
(a) \(\sqrt{1-x^2}\)
(b) \(\frac{1}{\sqrt{1-x^2}}\)
(c) \(\frac{1}{2\sqrt{1-x^2}}\)
(d) x

Answer

Answer: (c) \(\frac{1}{2\sqrt{1-x^2}}\)


Question 38.
\(\frac{d}{dx}\)[tan-1(\(\frac{a-x}{1+ax}\))] is equal to
MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability with Answers

Answer

Answer: (a) –\(\frac{1}{1+x^2}\)


Question 39.
\(\frac{d}{dx}\)(x\(\sqrt{a^2-x^2}+a^2 sin^{-1}(\frac{x}{a})\)) is equal to
(a) \(\sqrt{a^2-x^2}\)
(b) 2\(\sqrt{a^2-x^2}\)
(c) \(\frac{1}{\sqrt{a^2-x^2}}\)
(d) None of these

Answer

Answer: (b) 2\(\sqrt{a^2-x^2}\)


Question 40.
If f(x) = tan-1(\(\sqrt{\frac{1+sinx}{1-sinx}}\)), 0 ≤ x ≤ \(\frac{π}{2}\), then f'(\(\frac{π}{6}\)) is
(a) –\(\frac{1}{4}\)
(b) –\(\frac{1}{2}\)
(c) \(\frac{1}{4}\)
(d) \(\frac{1}{2}\)

Answer

Answer: (d) \(\frac{1}{2}\)


Question 41.
If y = sin-1(\(\frac{√x-1}{√x+1}\)) + sec-1(\(\frac{√x+1}{√x-1}\)), x > 0, then \(\frac{dy}{dx}\) is equal to
(a) 1
(b) 0
(c) \(\frac{π}{2}\)
(d) None of these

Answer

Answer: (b) 0


Question 42.
If x = exp {tan-1(\(\frac{y-x^2}{x^2}\))}, then \(\frac{dy}{dx}\) equals
(a) 2x [1 + tan (log x)] + x sec² (log x)
(b) x [1 + tan (log x)] + sec² (log x)
(c) 2x [1 + tan (logx)] + x² sec² (log x)
(d) 2x [1 + tan (log x)] + sec² (log x)

Answer

Answer: (a) 2x [1 + tan (log x)] + x sec² (log x)


Question 43.
If y = e3x+n, then the value of \(\frac{dy}{dx}\)|x=0 is
(a) 1
(b) 0
(c) -1
(d) 3e7

Answer

Answer: (d) 3e7


Question 44.
Let f (x) = ex, g (x) = sin-1 x and h (x) = f |g(x)|, then \(\frac{h'(x)}{h(x)}\) is equal to
(a) esin-1x
(b) \(\frac{1}{\sqrt{1-x^2}}\)
(c) sin-1x
(d) \(\frac{1}{(1-x^2)}\)

Answer

Answer: (b) \(\frac{1}{\sqrt{1-x^2}}\)


Question 45.
If y = aex+ be-x + c Where a, b, c are parameters, they y’ is equal to
(a) aex – be-x
(b) aex + be-x
(c) -(aex + be-x)
(d) aex – bex

Answer

Answer: (a) aex – be-x


Question 46.
If sin y + e-xcos y = e, then \(\frac{dy}{dx}\) at (1, π) is equal to
(a) sin y
(b) -x cos y
(c) e
(d) sin y – x cos y

Answer

Answer: (c) e


Question 47.
Derivative of the function f (x) = log5 (Iog,x), x > 7 is
(a) \(\frac{1}{x(log5)(log7)(log7-x)}\)
(b) \(\frac{1}{x(log5)(log7)}\)
(c) \(\frac{1}{x(logx)}\)
(d) None of these

Answer

Answer: (a) \(\frac{1}{x(log5)(log7)(log7-x)}\)


Question 48.
If y = log10x + log y, then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{y}{y-1}\)
(b) \(\frac{y}{x}\)
(c) \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))
(d) None of these

Answer

Answer: (c) \(\frac{log_{10}e}{x}\)(\(\frac{y}{y-1}\))


Question 49.
If y = log [ex(\(\frac{x-1}{x-2}\))\(^{1/2}\)], then \(\frac{dy}{dx}\) is equal to
(a) 7
(b) \(\frac{3}{x-2}\)
(c) \(\frac{3}{(x-1)}\)
(d) None of these

Answer

Answer: (d) None of these


Question 50.
If y = e\(\frac{1}{2}\) log(1+tan²x), then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{1}{2}\) sec² x
(b) sec² x
(c) sec x tan x
(d) e\(\frac{1}{2}\) log(1+tan²x)

Answer

Answer: (c) sec x tan x


Question 51.
If y = 2x32x-1 then \(\frac{dy}{dx}\) is equal to dx
(a) (log 2) (log 3)
(b) (log lg)
(c) (log 18²) y²
(d) y (log 18)

Answer

Answer: (d) y (log 18)


Question 52.
If xx = yy, then \(\frac{dy}{dx}\) is equal to
(a) –\(\frac{y}{x}\)
(b) –\(\frac{x}{y}\)
(c) 1 + log (\(\frac{x}{y}\) )
(d) \(\frac{1+logx}{1+logy}\)

Answer

Answer: (d) \(\frac{1+logx}{1+logy}\)


Question 53.
If y = (tan x)sin x, then \(\frac{dy}{dx}\) is equal to
(a) sec x + cos x
(b) sec x+ log tan x
(c) (tan x)sin x
(d) None of these

Answer

Answer: (d) None of these


Question 54.
If xy = ex-y then \(\frac{dy}{dx}\) is
(a) \(\frac{1+x}{1+log x}\)
(b) \(\frac{1-log x}{1+log y}\)
(c) not defined
(d) \(\frac{-y}{(1+log x)^2}\)

Answer

Answer: (d) \(\frac{-y}{(1+log x)^2}\)


Question 55.
The derivative of y = (1 – x) (2 – x)…. (n – x) at x = 1 is equal to
(a) 0
(b) (-1) (n – 1)!
(c) n ! – 1
(d) (-1)n-1 (n – 1)!

Answer

Answer: (b) (-1) (n – 1)!


The derivative of y = (1 – x) (2 – x)…. (n – x) at x = 1 is equal to

Question 56.
If f(x) = cos x, cos 2 x, cos 4 x, cos 8 x, cos 16 x, then the value of'(\(\frac{π}{4}\)) is
(a) 1
(b) √2
(c) \(\frac{1}{√2}\)
(d) 0

Answer

Answer: (b) (-1) (n – 1)!


Question 57.
xy. yx = 16, then the value of \(\frac{dy}{dx}\) at (2, 2) is
(a) -1
(b) 0
(c) -1
(d) None of these

Answer

Answer: (a) -1


Question 58.
If y = ex+ex+ex+….to∞ find \(\frac{dy}{dx}\) =
(a) \(\frac{y^2}{1-y}\)
(b) \(\frac{y^2}{y-1}\)
(c) \(\frac{y}{y-1}\)
(d) \(\frac{-y}{y-1}\)

Answer

Answer: (c) \(\frac{y}{y-1}\)


Question 59.
If x = \(\frac{1-t^2}{1+t^2}\) and y = \(\frac{2t}{1+t^2}\) then \(\frac{dy}{dx}\) is equal to dx
(a) –\(\frac{y}{x}\)
(b) \(\frac{y}{x}\)
(c) –\(\frac{x}{y}\)
(d) \(\frac{x}{y}\)

Answer

Answer: (c) –\(\frac{x}{y}\)


Question 60.
If x = a cos4 θ, y = a sin4 θ. then \(\frac{dy}{dx}\) at θ = \(\frac{3π}{4}\) is
(a) -1
(b) 1
(c) -a²
(d) a²

Answer

Answer: (a) -1


Question 61.
If x = sin-1 (3t – 4t³) and y = cos-1 (\(\sqrt{1-t^2}\)) then \(\frac{dy}{dx}\) is equal to
(a) \(\frac{1}{2}\)
(b) \(\frac{2}{5}\)
(c) \(\frac{3}{2}\)
(d) \(\frac{1}{3}\)

Answer

Answer: (d) \(\frac{1}{3}\)


Question 62.
Let y = t10 + 1 and x = t8 + 1, then \(\frac{d^2y}{dx^2}\), is equal to
(a) \(\frac{d^2y}{dx^2}\)
(b) 20t8
(c) \(\frac{5}{16t^6}\)
(d) None of these

Answer

Answer: (d) \(\frac{1}{3}\)


Question 63.
The derivative of ex3 with respect to log x is
(a) ee3
(b) 3x22ex3
(c) 3x3ex3
(d) 3x2ex3+ 3x2

Answer

Answer: (c) 3x3ex3


Question 64.
If x = et sin t, y = etcos t, t is a parameter, then \(\frac{dy}{dx}\) at (1, 1) is equal to
(a) –\(\frac{1}{2}\)
(b) –\(\frac{1}{4}\)
(c) 0
(d) \(\frac{1}{2}\)

Answer

Answer: (c) 0


Question 65.
The derivative of sin-1 (\(\frac{2x}{1+x^2}\)) with respect to cos-1 (\(\frac{1-x^2}{1+x^2}\)) is
(a) -1
(b) 1
(c) 2
(d) 4

Answer

Answer: (b) 1


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