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,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation , the number density of electrons is ________ Equation (up to one decimal place)

(Mass of electron Equation )

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 Equation at the Fermi surface is related to electron concentration Equation as,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 4

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2012

MCQ▾

Question

The total energy, Equation of an ideal non – relativistic Fermi gas in three in three dimensions is given by Equation ; where, Equation 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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