CSIR Physical Sciences: Questions 110 - 113 of 389

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Question number: 110

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

The motion of a particle of mass m in one dimension is described by the Hamiltonian H=p22m+12mω2x2+λx . What is the difference between the (quantized) energy of the first two levels? (In the following, x is the expectation value of x in the ground state. )

Choices

Choice (4) Response

a.

ω+λx

b.

ω+λ22mω2

c.

ω

d.

ωλx

Question number: 111

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2012

MCQ▾

Question

Four charges (two + q and two –q) are kept fixed at the four vertices of a square of side a as shown

Four charges kept at vertices of a square

Four Charges Kept at Vertices of a Square

In figure four charges (two + q and two –q) are kept fixed at the four vertices of a square of side a.

At the point P which is at a distance R from the centre (Ra) , the potential is proportional to – (December)

Choices

Choice (4) Response

a.

1R4

b.

1R2

c.

1R

d.

1R3

Question number: 112

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2014

MCQ▾

Question

If C is the contour defined by z =12 , the value of the signal

Cdzsin2z

is – (June)

Choices

Choice (4) Response

a.

πi

b.

0

c.

d.

2πi

Question number: 113

» Thermodynamic and Statistical Physics » Free Energy

Appeared in Year: 2013

MCQ▾

Question

Two different thermodynamic system are described by the following equations of state –

1T(1)=3RN(1)2U(1)

and1T(2)=5RN(2)2U(2)

Where T(1, 2),N(1,2) and U(1, 2) are respectively the temperatures, the mole numbers and the internal energies of the two systems, and R is the gas constant. Let Utot denote the total energy when these two systems are put in contact and attain thermal equilibrium. The ratio U(1)Utot is – (December)

Choices

Choice (4) Response

a.

N(2)N(1)+N(2)

b.

5N(2)3N(1)+5N(2)

c.

N(1)N(1)+N(2)

d.

3N(1)3N(1)+5N(2)

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