Thermodynamics and Statistical Physics (GATE Physics): Questions 6 - 9 of 46

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Question number: 6

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2014

MCQ▾

Question

Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is –

Choices

Choice (4) Response

a.

3kBln4

b.

kBln2

c.

2kBln2

d.

2kBln4

Question number: 7

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2015

MCQ▾

Question

The entropy of a gas containing N particles enclosed in a volume V is given by,

S=NkBln(aVE32N52)

Where, E is the total energy, a is a constant and kB is the Boltzmann constant. The chemical potential μ of the system at a temperature T is given by,

Choices

Choice (4) Response

a.

μ=kBT[ln(aVE32N32)32]

b.

μ=kBT[ln(aVE32N32)52]

c.

μ=kBT[ln(aVE32N52)32]

d.

μ=kBT[ln(aVE32N52)52]

Question number: 8

» Thermodynamics and Statistical Physics » Classical and Aquantum Statistics

Appeared in Year: 2014

MCQ▾

Question

For a gas under isothermal conditions, its pressure P varies with volume V and PV53 . The bulk module B is proportional to –

Choices

Choice (4) Response

a.

V53

b.

V23

c.

V12

d.

V35

Question number: 9

» Thermodynamics and Statistical Physics » Calculation of Thermodynemic Quantities

Appeared in Year: 2016

Short Answer Question▾

Write in Short

N atoms of an ideal gas are enclosed in a container of volume V . The volume of the container is changed to 4V , while keeping the total energy constant. The change in the entropy of the gas, in units of NkBln2 , is _ , where kB is the Boltzmann constant.

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