Thermodynamics and Statistical Physics-Free Energy (GATE Physics): Questions 1 - 3 of 6

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Question number: 1

» Thermodynamics and Statistical Physics » Free Energy

Appeared in Year: 2014

MCQ▾

Question

For a free electron gas in two dimensions, the variation of the density of state, Equation as a function of energy Equation , is best represented by –

Choices

Choice (4) Response

a.

The density of state as a function of E - Choice A

The Density of State as a Function of E - Choice A

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

b.

The density of state as a function of E - Choice B

The Density of State as a Function of E - Choice B

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

c.

The density of state as a function of E - Choice C

The Density of State as a Function of E - Choice C

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

d.

The density of state as a function of E - Choice D

The Density of State as a Function of E - Choice D

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

Question number: 2

» Thermodynamics and Statistical Physics » Free Energy

Appeared in Year: 2016

MCQ▾

Question

For a system at constant temperature and volume, which of the following statements is correct at equilibrium?

Choices

Choice (4) Response

a.

The Gibbs free energy attains a local minimum.

b.

The Helmholtz free energy attains a local minimum.

c.

The Helmholtz free energy attains a local maximum.

d.

The Gibbs free energy attains a local maximum.

Question number: 3

» Thermodynamics and Statistical Physics » Free Energy

Appeared in Year: 2010

MCQ▾

Question

For a two – dimensional free electron gas, the electron density Equation , and the Fermi energy Equation , are related by –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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