## PHYSICS- PAGE 6

1. The pair having the same dimension is :

1) velocity , angular velocity

2) Work, Torque

3) Angular momentum , work

4) Angular momentum, Linear momentum

Ans: 2

2. Choose the correct statement for cyclic group :

1) Group of order two may or may not be cyclic.

2) Group of order three is always a cyclic group.

3) Group of order four is always a cyclic group.

4) Group of order four is never a cyclic group.

Ans: 2

3. The group formed by three cube roots of unity is :

1) Only Non Abelian

2) Non Abelian and non cyclic

3) Abelian and non cyclic

4) Abelian and cyclic

Ans: 4

4. If the Lagrangian L is not an explicit function of time , then

1) Hamiltonian H is a constant of motion.

2) Hamiltonian H is not a constant of motion.

3) Angular momentum is a constant of motion.

4) Angular momentum is not a constant of motion.

Ans: 1

5. The invariance of Lagrangian under spatial translations implies the :

1) conservation of linear momentum

2) conservation of angular momentum

3) conservation of energy

4) conservation of parity

Ans: 1

6. Equation E = pc is valid :

1) for an electron as well as a photon

2) for an electron but not for a photon

3) for a photon but not for an electron

4) neither for an electron nor for a photon

Ans: 3

7. A body of mass m moving with velocity v hits another body of same mass moving with same speed v but in the opposite direction and stick to it . The velocity of the compound body after collision is :

1) Zero

2) v/2

3) 2v

4) v/4

Ans: 1

8. Muliplication of two linear operators is :

1) always commutative

2) never commutative

3) not necessarily commutative

4) always a unit operator.

Ans: 3

9. If A and B are self adjoint operators , which of the following statements is not true

1) AB + BA is self adjoint

2) i(AB BA) is self adjoint

3) AB is self adjoint only if AB = BA

4) AB will never be self adjoint

Ans: 4

10. Choose the wrong statement for projection operator :

1) Two projection operator are said to be orthogonal if their product is zero

2) The product of two commutating projection operator is also a projection operator.

3) The sum of two projection operator is always a projector operator

4) Two projection operator are said to be orthogonal if their product is one

Ans:3

11. The probability of finding a simple harmonic oscillator in the classical limit is : [ The oscillator is in its normal state ]

1) 50%

2) 64%

3) 84%

4) 92%

Ans: 3

12. The Clebsch-Gordon coefficients are

1) all real

2) all imaginary

3) real and imaginary both

4) necessarily integer

Ans: 1

13. The first order effect of a time dependent perturbation, varying sinusoidally in time,lead to :

1) absorption of energy only

2) emission of energy only

3) emission and absorption of energy

4) No change of energy

Ans: 3

14. Which of the following experiment is a direct evidence for the quantized nature of energy states in atoms

1) Davisson-Germer experiment

2) Stern-Gerlach experiment

3) Rutherford alpha- scattering experiment

4) Frank-Hertz experiment

Ans: 4

15. A system absorbs 35 J of heat and in the process it does 11 J of work . The system follows another thermodynamics path to same final state from same initial state and does 15 J of work. The heat transferred in the process is :

1) 39 J

2) 31 J

3) 61 J

4) 35 J

Ans: 1

16. The combined form of first and second law of thermodynamics is given by :

1) TdS =dU + PdV

2) dQ = TdS + PdV

3) dU = TdS + dQ

4) TdS = dU PdV

Ans: 1

17. One mole of gas expand isothermally to four times of its initial volume. The change in entropy in terms of gas constant R is :

1) 0.602 R

2) 1.387 R

3) 2.774 R

4) Zero

Ans: 2

18. Choose the correct statement for Enthalpy :

1) Enthalpy has dimension of entropy.

2) For an isobaric process the change in enthalpy is equal to change in its internal energy .

3) Enthalpy remains constant in a reversible isobaric adiabatic process

4) Enthalpy always increases in a reversible isobaric adiabatic process

Ans: 3

19. Enthalpy H, pressure P , internal energy U and volume V have a relation given by :

1) H = U + PV

2) H = U PV

3) P = H UV

4) U = H + P V

Ans: 1

20. For equlibrium of a system , which is in contact with heat reservoir of constant pressure and temperature , the value of Gibbs Energy : 1) is always zero

2) must be minimum

3) must be maximum

4) always increases

Ans: 2

21. Which of the following is not an example of second order phase transitions :

1) Transition of water into ice at constant time

2) Transition of ferromagnetic to a praramagnetic material at curie point.

3) Transition of superconductor into ordinary conductor in the absence of magnetic field.

4) Transition of water into vapour at constant temperature and volume.

Ans: 4

22. Three classical particles are to be distributed in four energy levels . The number of possible ways of distribution are :

1) 81

2) 64

3) 20

4) 12

Ans: 2

23. The significance of Bose - Einstein and Fermi - Dirac statistics becomes negligible at :

1) low temperature

2) low temperature and low pressure

3) high temperature and low pressure

4) low temperature and high pressure

Ans: 3

24. The chemical potential for Fermions (FermiDirac statistics) is :

1) always zero

2) always negative

3) always positive

4) may be negative or positive

Ans: 4

25. For shorter wavelengths, Plank's radiation law reduces to :

1) Wien's Law

2) RayleighJeans Law

3) Kirchhoff's Law

4) Stefan's law

Ans: 1

1) velocity , angular velocity

2) Work, Torque

3) Angular momentum , work

4) Angular momentum, Linear momentum

Ans: 2

2. Choose the correct statement for cyclic group :

1) Group of order two may or may not be cyclic.

2) Group of order three is always a cyclic group.

3) Group of order four is always a cyclic group.

4) Group of order four is never a cyclic group.

Ans: 2

3. The group formed by three cube roots of unity is :

1) Only Non Abelian

2) Non Abelian and non cyclic

3) Abelian and non cyclic

4) Abelian and cyclic

Ans: 4

4. If the Lagrangian L is not an explicit function of time , then

1) Hamiltonian H is a constant of motion.

2) Hamiltonian H is not a constant of motion.

3) Angular momentum is a constant of motion.

4) Angular momentum is not a constant of motion.

Ans: 1

5. The invariance of Lagrangian under spatial translations implies the :

1) conservation of linear momentum

2) conservation of angular momentum

3) conservation of energy

4) conservation of parity

Ans: 1

6. Equation E = pc is valid :

1) for an electron as well as a photon

2) for an electron but not for a photon

3) for a photon but not for an electron

4) neither for an electron nor for a photon

Ans: 3

7. A body of mass m moving with velocity v hits another body of same mass moving with same speed v but in the opposite direction and stick to it . The velocity of the compound body after collision is :

1) Zero

2) v/2

3) 2v

4) v/4

Ans: 1

8. Muliplication of two linear operators is :

1) always commutative

2) never commutative

3) not necessarily commutative

4) always a unit operator.

Ans: 3

9. If A and B are self adjoint operators , which of the following statements is not true

1) AB + BA is self adjoint

2) i(AB BA) is self adjoint

3) AB is self adjoint only if AB = BA

4) AB will never be self adjoint

Ans: 4

10. Choose the wrong statement for projection operator :

1) Two projection operator are said to be orthogonal if their product is zero

2) The product of two commutating projection operator is also a projection operator.

3) The sum of two projection operator is always a projector operator

4) Two projection operator are said to be orthogonal if their product is one

Ans:3

11. The probability of finding a simple harmonic oscillator in the classical limit is : [ The oscillator is in its normal state ]

1) 50%

2) 64%

3) 84%

4) 92%

Ans: 3

12. The Clebsch-Gordon coefficients are

1) all real

2) all imaginary

3) real and imaginary both

4) necessarily integer

Ans: 1

13. The first order effect of a time dependent perturbation, varying sinusoidally in time,lead to :

1) absorption of energy only

2) emission of energy only

3) emission and absorption of energy

4) No change of energy

Ans: 3

14. Which of the following experiment is a direct evidence for the quantized nature of energy states in atoms

1) Davisson-Germer experiment

2) Stern-Gerlach experiment

3) Rutherford alpha- scattering experiment

4) Frank-Hertz experiment

Ans: 4

15. A system absorbs 35 J of heat and in the process it does 11 J of work . The system follows another thermodynamics path to same final state from same initial state and does 15 J of work. The heat transferred in the process is :

1) 39 J

2) 31 J

3) 61 J

4) 35 J

Ans: 1

16. The combined form of first and second law of thermodynamics is given by :

1) TdS =dU + PdV

2) dQ = TdS + PdV

3) dU = TdS + dQ

4) TdS = dU PdV

Ans: 1

17. One mole of gas expand isothermally to four times of its initial volume. The change in entropy in terms of gas constant R is :

1) 0.602 R

2) 1.387 R

3) 2.774 R

4) Zero

Ans: 2

18. Choose the correct statement for Enthalpy :

1) Enthalpy has dimension of entropy.

2) For an isobaric process the change in enthalpy is equal to change in its internal energy .

3) Enthalpy remains constant in a reversible isobaric adiabatic process

4) Enthalpy always increases in a reversible isobaric adiabatic process

Ans: 3

19. Enthalpy H, pressure P , internal energy U and volume V have a relation given by :

1) H = U + PV

2) H = U PV

3) P = H UV

4) U = H + P V

Ans: 1

20. For equlibrium of a system , which is in contact with heat reservoir of constant pressure and temperature , the value of Gibbs Energy : 1) is always zero

2) must be minimum

3) must be maximum

4) always increases

Ans: 2

21. Which of the following is not an example of second order phase transitions :

1) Transition of water into ice at constant time

2) Transition of ferromagnetic to a praramagnetic material at curie point.

3) Transition of superconductor into ordinary conductor in the absence of magnetic field.

4) Transition of water into vapour at constant temperature and volume.

Ans: 4

22. Three classical particles are to be distributed in four energy levels . The number of possible ways of distribution are :

1) 81

2) 64

3) 20

4) 12

Ans: 2

23. The significance of Bose - Einstein and Fermi - Dirac statistics becomes negligible at :

1) low temperature

2) low temperature and low pressure

3) high temperature and low pressure

4) low temperature and high pressure

Ans: 3

24. The chemical potential for Fermions (FermiDirac statistics) is :

1) always zero

2) always negative

3) always positive

4) may be negative or positive

Ans: 4

25. For shorter wavelengths, Plank's radiation law reduces to :

1) Wien's Law

2) RayleighJeans Law

3) Kirchhoff's Law

4) Stefan's law

Ans: 1

26. A semiconductor diode is used to

A:-convert dc to ac

B:-convert ac to dc

C:-increase voltage

D:-decrease voltage

Correct Answer:- Option-B

27. A steady current is flowing in a power line from west to east. The direction of the magnetic field at a point below the power line is towards

A:-east

B:-west

C:-north

D:-south

Correct Answer:- Option-C

28. Polarization of light is a convincing evidence of it's

A:-Longitudinal nature

B:-Transverse nature

C:-Dual nature

D:-Quantum nature

Correct Answer:- Option-B

29. A hollow metal sphere of radius 2 cm is charged such that the potential on it's surface is 5 volts. The potential at the centre of the sphere is

A:-5 volts

B:-zero

C:-same as at a point 2 cm away from the surface

D:-none of these

Correct Answer:- Option-A

30. An athlete completes one round of a circular track of radius 'R' in 40 seconds. His displacement at the end of 2

minutes 20 seconds will be

A:-2 R

B:-zero

C:-2 πR

D:-4 R

Correct Answer:- Option-B

31. At high altitudes, the boiling point of water decreases because

A:-the atmospheric pressure is high

B:-the temperature is low

C:-the atmospheric pressure is low

D:-the temperature is high

Correct Answer:- Option-C

A:-convert dc to ac

B:-convert ac to dc

C:-increase voltage

D:-decrease voltage

Correct Answer:- Option-B

27. A steady current is flowing in a power line from west to east. The direction of the magnetic field at a point below the power line is towards

A:-east

B:-west

C:-north

D:-south

Correct Answer:- Option-C

28. Polarization of light is a convincing evidence of it's

A:-Longitudinal nature

B:-Transverse nature

C:-Dual nature

D:-Quantum nature

Correct Answer:- Option-B

29. A hollow metal sphere of radius 2 cm is charged such that the potential on it's surface is 5 volts. The potential at the centre of the sphere is

A:-5 volts

B:-zero

C:-same as at a point 2 cm away from the surface

D:-none of these

Correct Answer:- Option-A

30. An athlete completes one round of a circular track of radius 'R' in 40 seconds. His displacement at the end of 2

minutes 20 seconds will be

A:-2 R

B:-zero

C:-2 πR

D:-4 R

Correct Answer:- Option-B

31. At high altitudes, the boiling point of water decreases because

A:-the atmospheric pressure is high

B:-the temperature is low

C:-the atmospheric pressure is low

D:-the temperature is high

Correct Answer:- Option-C

32:-Which of the following allow the electric current to pass through it ?

A:-Glass

B:-Graphite

C:-Rubber

D:-Bakelite

Ans: B

33:-Carbon, Diamond, Graphite are together called A:-Allotropes

B:-Isomers

C:-Isomorphs

D:-Isotopes

Ans: A

34:-Of the following the best conductor of electricity is

A:-Aluminium

B:-Silver

C:-Copper

D:-Gold

Ans: B

35:-Which instrument is used to measure electric current ?

A:-Rheostat

B:-Electrometer

C:-Voltmeter

D:-Ammeter

Ans: D

36:-S.I. unit of temperature is

A:-Joule

B:-Celsius

C:-Kelvin

D:-Fahrenheit

Ans: C

37:-Electric transformer is used to

A:-Filter current

B:-Regulate current

C:-Change voltage

D:-Serve as fuse

Ans: C

A:-Glass

B:-Graphite

C:-Rubber

D:-Bakelite

Ans: B

33:-Carbon, Diamond, Graphite are together called A:-Allotropes

B:-Isomers

C:-Isomorphs

D:-Isotopes

Ans: A

34:-Of the following the best conductor of electricity is

A:-Aluminium

B:-Silver

C:-Copper

D:-Gold

Ans: B

35:-Which instrument is used to measure electric current ?

A:-Rheostat

B:-Electrometer

C:-Voltmeter

D:-Ammeter

Ans: D

36:-S.I. unit of temperature is

A:-Joule

B:-Celsius

C:-Kelvin

D:-Fahrenheit

Ans: C

37:-Electric transformer is used to

A:-Filter current

B:-Regulate current

C:-Change voltage

D:-Serve as fuse

Ans: C

38:-In optical fibre cables the transmission of light is by the process of

A:-Polarisation

B:-Total internal reflection

C:-Diffraction

D:-Refraction

Ans: B

39:-Who invented thermometer ?

A:-Galilio Galili

B:-Albert Einstein

C:-Kelvin

D:-James Watt

Ans: A

40:-Before the main shock of earthquake animals appear to be irritated. This is due to a special type of sound waves produced at that time. Such waves are

A:-Ultrasonic waves

B:-Audible sound waves

C:-Infrasonic waves

D:-None of the above

Ans: C

41:-Which is the strongest force in nature ?

A:-Magnetic force

B:-Electric force

C:-Nuclear force

D:-Gravitational force

Ans: C

42:-Which one of the following electronic component is the essential part of a voltage regulator ?

A:-Zener diode

B:-LED

C:-LCD

D:-Transistor

Ans: A

43:-Find the odd one out.

A:-Force

B:-Mass

C:-Time

D:-Temperature

Ans: A

44:-The electromagnetic radiations emitted from mobile phones are

A:-X-ray

B:-Radio frequency wave

C:-`gamma`-ray

D:-None of the above

Ans: B

45:-If raw egg among with a shell is placed in a microwave oven which among the following is most likely happen ?

A:-The egg shell changes in colour

B:-The egg will get cooked slowly as usual

C:-The egg will not get warmed

D:-The egg shell will explode

Ans: D

46:-The three states of water are ice, water and water vapour. Which one of them has lowest density ?

A:-Ice

B:-Water

C:-Water vapour

D:-All of them have same density

Ans: C

47:-Joule/second is nothing but

A:-Ampere

B:-Coulomb

C:-Calory

D:-Watt

Ans: D

A:-Polarisation

B:-Total internal reflection

C:-Diffraction

D:-Refraction

Ans: B

39:-Who invented thermometer ?

A:-Galilio Galili

B:-Albert Einstein

C:-Kelvin

D:-James Watt

Ans: A

40:-Before the main shock of earthquake animals appear to be irritated. This is due to a special type of sound waves produced at that time. Such waves are

A:-Ultrasonic waves

B:-Audible sound waves

C:-Infrasonic waves

D:-None of the above

Ans: C

41:-Which is the strongest force in nature ?

A:-Magnetic force

B:-Electric force

C:-Nuclear force

D:-Gravitational force

Ans: C

42:-Which one of the following electronic component is the essential part of a voltage regulator ?

A:-Zener diode

B:-LED

C:-LCD

D:-Transistor

Ans: A

43:-Find the odd one out.

A:-Force

B:-Mass

C:-Time

D:-Temperature

Ans: A

44:-The electromagnetic radiations emitted from mobile phones are

A:-X-ray

B:-Radio frequency wave

C:-`gamma`-ray

D:-None of the above

Ans: B

45:-If raw egg among with a shell is placed in a microwave oven which among the following is most likely happen ?

A:-The egg shell changes in colour

B:-The egg will get cooked slowly as usual

C:-The egg will not get warmed

D:-The egg shell will explode

Ans: D

46:-The three states of water are ice, water and water vapour. Which one of them has lowest density ?

A:-Ice

B:-Water

C:-Water vapour

D:-All of them have same density

Ans: C

47:-Joule/second is nothing but

A:-Ampere

B:-Coulomb

C:-Calory

D:-Watt

Ans: D

48. The total solar radiation received at any point on the earth is referred to as :

(A) albedo (B) beam radiation

(C) diffuse radiation (D) insolation

Ans: D

49. Structures formed with semiconductor thin films of different band gaps stacked one after the other is known as :

(A) multiple quantum wells (B) quantum well

(C) quantum wire (D) quantum dot

Ans: A

50. In quantum dots, charge carriers are confined in :

(A) two dimensions (B) one dimension

(C) three dimensions (D) in a plane

Ans: C

(A) albedo (B) beam radiation

(C) diffuse radiation (D) insolation

Ans: D

49. Structures formed with semiconductor thin films of different band gaps stacked one after the other is known as :

(A) multiple quantum wells (B) quantum well

(C) quantum wire (D) quantum dot

Ans: A

50. In quantum dots, charge carriers are confined in :

(A) two dimensions (B) one dimension

(C) three dimensions (D) in a plane

Ans: C

51. Self reinforcing solitary wave packet that maintains its shape while it propagates at a constant velocity is named as :

(A) Bions (B) Solitons (C) Gluons (D) Photons

Ans: B

52. Negative index metamaterials have :

(A) negative relative permittivity and positive relative permeability

(B) negative relative permeability and positive relative permittivity

(C) both relative permeability and relative permittivity are negative

(D) positive refractive index

Ans: C

53. Expanding universe theory is based on the observation of :

(A) Astronomical blue shift (B) Astronomical red shift

(C) Astronomical green shift (D) No shift

Ans: B

(A) Bions (B) Solitons (C) Gluons (D) Photons

Ans: B

52. Negative index metamaterials have :

(A) negative relative permittivity and positive relative permeability

(B) negative relative permeability and positive relative permittivity

(C) both relative permeability and relative permittivity are negative

(D) positive refractive index

Ans: C

53. Expanding universe theory is based on the observation of :

(A) Astronomical blue shift (B) Astronomical red shift

(C) Astronomical green shift (D) No shift

Ans: B

54. In the presence of both electric and magnetic fields, the net force on a charge Q moving with velocity “v” is :

(A) F=EQ(vxB) (B) F=QE.B

(C) F=Q(B+vxE) (D) F=Q(E+vxB)

Ans: D

55. Enthalpy “H” is mathematically defined as :

(A) H=U+dQ (B) H=U−PV

(C) H=U+PV (D) H=U+TS

Ans: C

56. Collection of a large number of essentially independent systems having the same temperature T, volume V and same number of identical particles n is known as :

(A) Microcanonical ensemble (B) Canonical ensemble

(C) Grand canonical ensemble (D) Macrocanonical ensemble

Ans: B

57. Electrons obey :

(A) Bose - Einstein Statistics (B) Maxwell - Boltzmann Statistics

(C) Fermi - Dirac Statistics (D) All three Statistics

Ans: D

58. In grand canonical ensemble, the comprising systems can :

(A) exchange both energy and particles

(B) exchange only energy

(C) exchange particles only

(D) not exchange particles or energy

Ans: A

59. Particles obey Pauli’s exclusion principle in :

(A) Bose - Einstein Statistics (B) Fermi - Dirac Statistics

(C) Maxwell - Boltzmann Statistics (D) all the three Statistics

Ans: B

60. Two or more electrons are said to be equivalent if they have :

(A) same l and s values

(B) same n and m1 values

(C) same n and j values

(D) same n and l values

Ans: D

61. Which of the following will give microwave spectrum ?

(A) CO2

(B) H2

(C) CS2

(D) HCl

Ans: D

62. The pumping scheme used in solid state lasers is :

(A) Electrical (B) Magnetic (C) Optical (D) Mechanical

Ans: C

63. Mutual exclusion principle deals with the complementary nature of :

(A) IR and Raman activities (B) NMR and IR activities

(C) ESR and Raman activities (D) Microwave and IR activities

Ans: A

64. Which of the following is not a property of laser light ?

(A) Directionality (B) Monochromaticity

(C) Coherence (D) Divergence

Ans: D

65. The typical wavelengths emitted or absorbed in Mossbauer spectroscopic studies is in the region of :

(A) gamma rays (B) X-rays (C) microwave (D) visible

Ans: A

66. When an electron jumps from the fourth orbit to the second orbit, we get :

(A) Second line of Pfund series (B) Second line of Lyman series

(C) Second line of Balmer series (D) Second line of Paschen series

Ans: C

67. Cooper pairs are formed by :

(A) electron-phonon-electron interaction

(B) electron-proton interaction

(C) proton-phonon-proton interaction

(D) electron-hole interaction

Ans: A

68. The reciprocal lattice to an fcc lattice is :

(A) an fcc lattice (B) a hcp lattice (C) a sc lattice (D) a bcc lattice

Ans: D

69. If the applied external field is increased beyond the critical field, the material becomes :

(A) a superconductor (B) normal conductor

(C) insulator (D) semiconductor

Ans: B

70. Which of the following is not a property of nuclear forces ?

(A) charge independent (B) strong attractive force

(C) long range force (D) saturated force

Ans: C

71. Parity is violated in :

(A) α-decay (B) Fusion

(C) Gamma emission (D) β-decay

Ans: D

72. Energy generation in stars is through :

(A) Nuclear fission (B) Stimulated emission

(C) Nuclear fusion (D) Thermoelectric process

Ans: C

73. Quark combinations of proton and neutron respectively are :

(A) uds and uss (B) uss and uds

(C) uud and udd (D) uud and uds

Ans: C

74. Which of the following is not a baryon ?

(A) Neutron (B) Sigma (C) Proton (D) Muon

Ans: D

75. Phase difference between input and output signals of a CE amplifier is :

(A) 180 degree (B) 90 degree (C) 45 degree (D) 0 degree

Ans: A

76. The ripple factor for a half wave rectifier is :

(A) 0.406 (B) 0.48 (C) 0.812 (D) 1.21

Ans: D

77. Universal building blocks are :

(A) AND and OR gates (B) NAND and OR gates

(C) NAND and NOR gates (D) AND and NOT gates

Ans: C

78. Which of the following statements is wrong ?

(A) LED is a forward biased PN junction

(B) Photodiode is reverse biased PN junction

(C) Solar cell is a PN junction

(D) LED is a reverse biased PN junction

Ans: D

79. In an integrator, the feedback element is :

(A) Capacitor (B) Resistor (C) Zener diode (D) Transistor

Ans: A

80. Hamiltonian is given by :

(A) T−V (B) T+V (C) T/V (D) TV

Ans: B

81. Which of the following statements is wrong ?

(A) Fundamental Poisson brackets are invariant under canonical transformation

(B) All Poisson brackets are canonical invariants

(C) Poisson brackets of canonical variables are known as fundamental Poisson brackets

(D) Poisson brackets are not canonically invariant

Ans: D

82. If a generalized co-ordinate has the dimension of momentum, the generalized velocity will have the dimension of :

(A) Velocity (B) Force (C) Torque (D) Acceleration

(B) Ans: B

83. Angular momentum L is given by :

(A) L=r×v (B) L=m×v (C) L=m(r×v) (D) L=m(r×a)

Ans: C

84. Possible number of degrees of freedom for a rigid body is :

(A) 3 (B) 6 (C) 9 (D) infinite

Ans: B

85. Special theory of relativity deals with events in the frame of reference which moves with constant :

(A) speed (B) velocity (C) acceleration (D) momentum

(B) Ans: B

86. The K.E. of a body is twice its rest mass energy. Find the ratio of relativistic mass to rest mass of the body :

(A) 3 (B)1/3

(C) 2 (D) ½

Ans: A

87. The constraint that can be expressed in the form of an equation connecting co-ordinates and time is known as :

(A) Holonomic (B) Non-holonomic

(C) Sceleronomous (D) Rhombus

Ans: A

(A) F=EQ(vxB) (B) F=QE.B

(C) F=Q(B+vxE) (D) F=Q(E+vxB)

Ans: D

55. Enthalpy “H” is mathematically defined as :

(A) H=U+dQ (B) H=U−PV

(C) H=U+PV (D) H=U+TS

Ans: C

56. Collection of a large number of essentially independent systems having the same temperature T, volume V and same number of identical particles n is known as :

(A) Microcanonical ensemble (B) Canonical ensemble

(C) Grand canonical ensemble (D) Macrocanonical ensemble

Ans: B

57. Electrons obey :

(A) Bose - Einstein Statistics (B) Maxwell - Boltzmann Statistics

(C) Fermi - Dirac Statistics (D) All three Statistics

Ans: D

58. In grand canonical ensemble, the comprising systems can :

(A) exchange both energy and particles

(B) exchange only energy

(C) exchange particles only

(D) not exchange particles or energy

Ans: A

59. Particles obey Pauli’s exclusion principle in :

(A) Bose - Einstein Statistics (B) Fermi - Dirac Statistics

(C) Maxwell - Boltzmann Statistics (D) all the three Statistics

Ans: B

60. Two or more electrons are said to be equivalent if they have :

(A) same l and s values

(B) same n and m1 values

(C) same n and j values

(D) same n and l values

Ans: D

61. Which of the following will give microwave spectrum ?

(A) CO2

(B) H2

(C) CS2

(D) HCl

Ans: D

62. The pumping scheme used in solid state lasers is :

(A) Electrical (B) Magnetic (C) Optical (D) Mechanical

Ans: C

63. Mutual exclusion principle deals with the complementary nature of :

(A) IR and Raman activities (B) NMR and IR activities

(C) ESR and Raman activities (D) Microwave and IR activities

Ans: A

64. Which of the following is not a property of laser light ?

(A) Directionality (B) Monochromaticity

(C) Coherence (D) Divergence

Ans: D

65. The typical wavelengths emitted or absorbed in Mossbauer spectroscopic studies is in the region of :

(A) gamma rays (B) X-rays (C) microwave (D) visible

Ans: A

66. When an electron jumps from the fourth orbit to the second orbit, we get :

(A) Second line of Pfund series (B) Second line of Lyman series

(C) Second line of Balmer series (D) Second line of Paschen series

Ans: C

67. Cooper pairs are formed by :

(A) electron-phonon-electron interaction

(B) electron-proton interaction

(C) proton-phonon-proton interaction

(D) electron-hole interaction

Ans: A

68. The reciprocal lattice to an fcc lattice is :

(A) an fcc lattice (B) a hcp lattice (C) a sc lattice (D) a bcc lattice

Ans: D

69. If the applied external field is increased beyond the critical field, the material becomes :

(A) a superconductor (B) normal conductor

(C) insulator (D) semiconductor

Ans: B

70. Which of the following is not a property of nuclear forces ?

(A) charge independent (B) strong attractive force

(C) long range force (D) saturated force

Ans: C

71. Parity is violated in :

(A) α-decay (B) Fusion

(C) Gamma emission (D) β-decay

Ans: D

72. Energy generation in stars is through :

(A) Nuclear fission (B) Stimulated emission

(C) Nuclear fusion (D) Thermoelectric process

Ans: C

73. Quark combinations of proton and neutron respectively are :

(A) uds and uss (B) uss and uds

(C) uud and udd (D) uud and uds

Ans: C

74. Which of the following is not a baryon ?

(A) Neutron (B) Sigma (C) Proton (D) Muon

Ans: D

75. Phase difference between input and output signals of a CE amplifier is :

(A) 180 degree (B) 90 degree (C) 45 degree (D) 0 degree

Ans: A

76. The ripple factor for a half wave rectifier is :

(A) 0.406 (B) 0.48 (C) 0.812 (D) 1.21

Ans: D

77. Universal building blocks are :

(A) AND and OR gates (B) NAND and OR gates

(C) NAND and NOR gates (D) AND and NOT gates

Ans: C

78. Which of the following statements is wrong ?

(A) LED is a forward biased PN junction

(B) Photodiode is reverse biased PN junction

(C) Solar cell is a PN junction

(D) LED is a reverse biased PN junction

Ans: D

79. In an integrator, the feedback element is :

(A) Capacitor (B) Resistor (C) Zener diode (D) Transistor

Ans: A

80. Hamiltonian is given by :

(A) T−V (B) T+V (C) T/V (D) TV

Ans: B

81. Which of the following statements is wrong ?

(A) Fundamental Poisson brackets are invariant under canonical transformation

(B) All Poisson brackets are canonical invariants

(C) Poisson brackets of canonical variables are known as fundamental Poisson brackets

(D) Poisson brackets are not canonically invariant

Ans: D

82. If a generalized co-ordinate has the dimension of momentum, the generalized velocity will have the dimension of :

(A) Velocity (B) Force (C) Torque (D) Acceleration

(B) Ans: B

83. Angular momentum L is given by :

(A) L=r×v (B) L=m×v (C) L=m(r×v) (D) L=m(r×a)

Ans: C

84. Possible number of degrees of freedom for a rigid body is :

(A) 3 (B) 6 (C) 9 (D) infinite

Ans: B

85. Special theory of relativity deals with events in the frame of reference which moves with constant :

(A) speed (B) velocity (C) acceleration (D) momentum

(B) Ans: B

86. The K.E. of a body is twice its rest mass energy. Find the ratio of relativistic mass to rest mass of the body :

(A) 3 (B)1/3

(C) 2 (D) ½

Ans: A

87. The constraint that can be expressed in the form of an equation connecting co-ordinates and time is known as :

(A) Holonomic (B) Non-holonomic

(C) Sceleronomous (D) Rhombus

Ans: A

88:-For a system of two coupled oscillators, the total number of normal modes is

A:-1 B:-2 C:-3 D:-4

Ans: B

89:-In the short wavelength limit, the schrödinger equation reduces to

A:-Lagrange's equation B:-Euler-Lagrange equation C:-Hamilton's equations D:-Hamilton-Jocobi equation

Ans: D

90:-What is the dimension of the fractal-Cantor set ?

A:-0.52 B:-0.63 C:-0.74 D:-0.85

Ans: B

91:-If [F, H] represents the Poisson bracket between an arbitrary function F and the Hamiltonian of a system H, the equation of motion will be

A:-`(dF)/(dt)` = [F, H] B:-`(dF)/(dt)` = [H, F] C:-`(dF)/(dt) =(delF)/(delt) + [F, H]` D:-`(dF)/(dt) =(delF)/(delt) + [H, F]`

Ans: C

92:-The maximum number of rotational degrees of freedom possible for a rigid body is

A:-1 B:-2 C:-6 D:-3

Ans: D

93:-If `a_(0)` donates the Bohr radius, the most probable distance of the electron from the nucleus in a Hydrogen atom in its ground state is

A:-`(a_(0))/(2)` B:-`a_(0)` C:-`2a_(0)` D:-`(3a_(0))/(2)`

Ans: B

94:-The normalized wave functions `psi_(1)` and `Psi_(2)` correspond to the ground state and the first excited state of a particle in a potential. An operator Â acts on the wave functions as Â`psi_(1)=Psi_(2)` and Â`Psi_(2)` = `Psi_(1)`. The expectation value of Â for the state `psi` = `(3psi_(1) + 4psi_(2))/(6)` is

A:-0.67 B:-0.33 C:-0.44 D:-0.82

Ans: A

95:-Application of time independent perturbations to linear stark effect of hydrogen atom

A:-Completely removes degeneracy of n = 2 level and splits it into four levels

B:-Partially removes degeneracy of n = 2 levels and splits it into three levels

C:-Partially removes degeneracy of n = 2 level and splits it into two levels

D:-Does not remove degeneracy to any extent

Ans: B

96:-The wave function of a particle is given by `Psi =(1)/(sqrt(2))phi_(0)` , where `phi_(0)` is the normalized eigen function with energy `E_(0)`. The expectation value of the Hamiltonian in the state `psi` is

A:-`E_(0)` B:-`(E_(0))/(sqrt(2))` C:-`(E_(0))/(2)` D:-`sqrt(2)E_(0)`

Ans: C

97:-The total spin angular momentum S of a system of three electrons is

A:-`(1)/(2)` B:-0 and 1 C:-1 D:-`(1)/(2) and (3)/(2)`

Ans: D

98:-The phase shifts measured for the elastic scattering of 50 MeV neutrons from a nucleus are `delta_(0)= 90^(@)` ; `delta_(1) = 60^(@)` . The total cross section is

A:-`(13pi)/(k^(2))` B:-`(4pi)/(k^(2))` C:-`(pi)/(k^(2))` D:-`(7pi)/(k^(2))`

Ans: A

99:-For a Hermitian operator, the eigen values are

A:-zeros B:-real C:-complex D:-imaginary

Ans: B

100:-The eigen functions of angular momentum operator are

A:-Bessel function B:-Gamma function C:-Hermite polynomials D:-Spherical harmonics

Ans: D

A:-1 B:-2 C:-3 D:-4

Ans: B

89:-In the short wavelength limit, the schrödinger equation reduces to

A:-Lagrange's equation B:-Euler-Lagrange equation C:-Hamilton's equations D:-Hamilton-Jocobi equation

Ans: D

90:-What is the dimension of the fractal-Cantor set ?

A:-0.52 B:-0.63 C:-0.74 D:-0.85

Ans: B

91:-If [F, H] represents the Poisson bracket between an arbitrary function F and the Hamiltonian of a system H, the equation of motion will be

A:-`(dF)/(dt)` = [F, H] B:-`(dF)/(dt)` = [H, F] C:-`(dF)/(dt) =(delF)/(delt) + [F, H]` D:-`(dF)/(dt) =(delF)/(delt) + [H, F]`

Ans: C

92:-The maximum number of rotational degrees of freedom possible for a rigid body is

A:-1 B:-2 C:-6 D:-3

Ans: D

93:-If `a_(0)` donates the Bohr radius, the most probable distance of the electron from the nucleus in a Hydrogen atom in its ground state is

A:-`(a_(0))/(2)` B:-`a_(0)` C:-`2a_(0)` D:-`(3a_(0))/(2)`

Ans: B

94:-The normalized wave functions `psi_(1)` and `Psi_(2)` correspond to the ground state and the first excited state of a particle in a potential. An operator Â acts on the wave functions as Â`psi_(1)=Psi_(2)` and Â`Psi_(2)` = `Psi_(1)`. The expectation value of Â for the state `psi` = `(3psi_(1) + 4psi_(2))/(6)` is

A:-0.67 B:-0.33 C:-0.44 D:-0.82

Ans: A

95:-Application of time independent perturbations to linear stark effect of hydrogen atom

A:-Completely removes degeneracy of n = 2 level and splits it into four levels

B:-Partially removes degeneracy of n = 2 levels and splits it into three levels

C:-Partially removes degeneracy of n = 2 level and splits it into two levels

D:-Does not remove degeneracy to any extent

Ans: B

96:-The wave function of a particle is given by `Psi =(1)/(sqrt(2))phi_(0)` , where `phi_(0)` is the normalized eigen function with energy `E_(0)`. The expectation value of the Hamiltonian in the state `psi` is

A:-`E_(0)` B:-`(E_(0))/(sqrt(2))` C:-`(E_(0))/(2)` D:-`sqrt(2)E_(0)`

Ans: C

97:-The total spin angular momentum S of a system of three electrons is

A:-`(1)/(2)` B:-0 and 1 C:-1 D:-`(1)/(2) and (3)/(2)`

Ans: D

98:-The phase shifts measured for the elastic scattering of 50 MeV neutrons from a nucleus are `delta_(0)= 90^(@)` ; `delta_(1) = 60^(@)` . The total cross section is

A:-`(13pi)/(k^(2))` B:-`(4pi)/(k^(2))` C:-`(pi)/(k^(2))` D:-`(7pi)/(k^(2))`

Ans: A

99:-For a Hermitian operator, the eigen values are

A:-zeros B:-real C:-complex D:-imaginary

Ans: B

100:-The eigen functions of angular momentum operator are

A:-Bessel function B:-Gamma function C:-Hermite polynomials D:-Spherical harmonics

Ans: D