Thermodynamics and Statistical Physics-Degenerate Fermi Gas (GATE Physics): Questions 1 - 4 of 4

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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,

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: 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 5.54eV , the number density of electrons is ________ ×1028m3 (up to one decimal place)

(Mass of electron =9.11×1031kg;h=6.626×1034Js;1eV=1.6×1019J )

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 VF at the Fermi surface is related to electron concentration n as,

Choices

Choice (4) Response
a.

VFn

b.

VFn12

c.

VFn13

d.

VFn23

Question number: 4

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2012

MCQ▾

Question

The total energy, E of an ideal non – relativistic Fermi gas in three in three dimensions is given by EN53V23 ; where, N 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.

PV=13E

b.

PV=53E

c.

PV=E

d.

PV=23E

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