Thermodynamic and Statistical Physics (CSIR Physical Sciences): Questions 15 - 17 of 56

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Question number: 15

» Thermodynamic and Statistical Physics » Planck's Distribution Law

Appeared in Year: 2014

MCQ▾

Question

A system can have three energy levels: E=0,±ε . The level E=0 is doubly degenerate, while the others are non-degenerate. The average energy at inverse temperature β is – (June)

Choices

Choice (4) Response

a.

εtanh(βε)

b.

εtanh(βε2)

c.

ε(eβεeβε)(1+eβε+eβε)

d.

zero

Question number: 16

» 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)

Question number: 17

» Thermodynamic and Statistical Physics » Laws of Thermodynamics

Appeared in Year: 2014

MCQ▾

Question

For a particular thermodynamic system the entropy S is related to the internal energy U and volume V by S=cU34V14 ; where c is a constant. The Gibbs potential G=UTS+pV for this system is – (June)

Choices

Choice (4) Response

a.

US4V

b.

3pU4T

c.

Zero

d.

cU3

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