# Thermodynamic and Statistical Physics-Free Energy (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 9

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## Question number: 5

» Thermodynamic and Statistical Physics » Free Energy

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Appeared in Year: 2011

MCQ▾

### Question

If the number density of a free electron gas in three electron gas in three dimensions is increase eight times, its Fermi temperature will –

(December)

### Choices

Choice (4)Response

a.

Increase by a factor of 4

b.

Decrease by a factor of 4

c.

Decrease by a factor of 8

d.

Increase by a factor of 8

## Question number: 6

» Thermodynamic and Statistical Physics » Free Energy

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Appeared in Year: 2013

MCQ▾

### Question

If the energy dispersion of a two – dimensional electron system is , where is the velocity and k is the momentum, then the density of states depends on the energy as, (June)

### Choices

Choice (4)Response

a.

b.

E

c.

Constant

d.

## Question number: 7

» Thermodynamic and Statistical Physics » Free Energy

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Appeared in Year: 2012

MCQ▾

### Question

The free energy difference between the superconducting and the normal states of a material is given by, where is an order parameter and and are constants such that in the normal and in the superconducting state, while always. The minimum value of is – (December)

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 8

» Thermodynamic and Statistical Physics » Free Energy

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Appeared in Year: 2011

MCQ▾

### Question

Gas molecules of mass ‘m’ are confined in a cylinder of radius R and height L (With R > > L) kept vertically in the Earth’s gravitational field. The average energy of the gas at low temperature (such that ) is given by, (December)

### Choices

Choice (4)Response

a.

b.

c.

d.

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