Thermodynamic and Statistical Physics-Free Energy (CSIR Physical Sciences): Questions 4 - 7 of 9

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Question number: 4

» Thermodynamic and Statistical Physics » Free Energy

Appeared in Year: 2012

MCQ▾

Question

The free energy of gas of N particles in a volume V and at a temperature T is F=NkBTln[a0V(kBT)52N], where a0 is a constant and kB denotes the Boltzmann constant. The internal energy of the gas is – (June)

Choices

Choice (4) Response

a.

32NkBT

b.

NkBTln[a0V(kBT)52]

c.

52NkBT

d.

NkBTln[a0V(kBT)52N]32NkBT

Question number: 5

» Thermodynamic and Statistical Physics » Free Energy

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 8

c.

Increase by a factor of 8

d.

Decrease by a factor of 4

Question number: 6

» Thermodynamic and Statistical Physics » Free Energy

Appeared in Year: 2013

MCQ▾

Question

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

Choices

Choice (4) Response

a.

E

b.

Constant

c.

1E

d.

E

Question number: 7

» Thermodynamic and Statistical Physics » Free Energy

Appeared in Year: 2012

MCQ▾

Question

The free energy difference between the superconducting and the normal states of a material is given by, ΔF=FSFN=α ψ 2+β2 ψ 4 where ψ is an order parameter and α and β are constants such that α>0 in the normal and α<0 in the superconducting state, while β>0 always. The minimum value of ΔF is – (December)

Choices

Choice (4) Response

a.

3α22β

b.

α22β

c.

5α22β

d.

α2β

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