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
