# Thermodynamics and Statistical Physics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 28 - 31 of 82

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## Question 28

Thermodynamics and Statistical Physics

Appeared in Year: 2011

### Question

MCQ▾

A system has two energy levels with energies and . The lower level is fold degenerate while the upper level is doubly degenerate. If there are N non – interacting classical particles in the system, which is in thermodynamic equilibrium at temperature , the fraction of particles in the upper level is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 29

Thermodynamics and Statistical Physics

Appeared in Year: 2013

### Question

MCQ▾

A proton is confined to a cubic box, whose sides have length . What is the minimum kinetic energy of the proton? The mass of proton is and Planck՚s constant is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 30

Thermodynamics and Statistical Physics

Appeared in Year: 2013

### Question

MCQ▾

Across a first order phase transition, the free energy is –

### Choices

Choice (4)Response

a.

Proportional to the temperature

b.

A continuous function of the temperature but its derivative is discontinuous

c.

Such that the first derivative with respect to temperature is continuous

d.

A discontinuous function of the temperature

## Question 31

Thermodynamics and Statistical Physics

Appeared in Year: 2013

### Question

MCQ▾

The entropy function of a system is given by , where and are positive constants. The temperature of the system is –

### Choices

Choice (4)Response

a.

Negative for some energies

b.

Decreases monotonically with energy

c.

Zero

d.

Increases monotonically with energy

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