Thermodynamics and Statistical Physics-Degenerate Fermi Gas (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 7

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Question number: 1

» 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,

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Given that the Fermi energy of gold is , the number density of electrons is ________ (up to one decimal place)

(Mass of electron )

Question number: 3

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2012

MCQ▾

Question

For an ideal Fermi gas in three dimensions, the electron velocity at the Fermi surface is related to electron concentration as,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2012

MCQ▾

Question

The total energy, of an ideal non – relativistic Fermi gas in three in three dimensions is given by ; where, is the number of particles and V is the volume of the gas. Identify the correct equation of state (P being the pressure) –

Choices

Choice (4) Response

a.

b.

c.

d.

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