Thermodynamic and Statistical Physics (CSIR Physical Sciences): Questions 20 - 22 of 56

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Question number: 20

» 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: 21

» Thermodynamic and Statistical Physics » Classical and Quantum Statistics

Appeared in Year: 2014

MCQ▾

Question

Let y=12(x1+x2)μ ; where x1 and x2 are independent and identically distributed Gaussian random variables of mean μ and standard deviation σ . Then y4σ4 is – (June)

Choices

Choice (4) Response
a.

1

b.

12

c.

34

d.

14

Question number: 22

» Thermodynamic and Statistical Physics » Introduction to Nonequilibrium Processes

Appeared in Year: 2014

MCQ▾

Question

When a gas expands adiabatically from volume V1 and V2 by a quasi – static reversible process, it cools from temperature T1 to T2 . If now the same process is carried out adiabatically and irreversibly, and T2 is the temperature of the gas when it has equilibrated, then – (December)

Choices

Choice (4) Response
a.

T2=T2V1V2

b.

T2>T2

c.

T2=T2(V2V1V2)

d.

T2=T2

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