Thermodynamics and Statistical Physics (GATE Physics): Questions 4 - 5 of 51

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Question number: 4

» 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, N(E) as a function of energy E , 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: 5

» Thermodynamics and Statistical Physics » Bose-Einstein Condensation

Appeared in Year: 2014

MCQ▾

Question

For a system of two bosons, each of which can occupy any of the two energy levels 0 and ε , the mean energy of the system at a temperature T with β=1kBT is given by,

Choices

Choice (4) Response

a.

2εeβε+εeβε2+eβε+e2βε

b.

1+εeβε2eβε+e2βε

c.

εeβε+2εeε1+2eβε+e2βε

d.

εeβε+2εe2βε2+eβε+e2βε

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