Thermodynamic and Statistical Physics-Classical and Quantum Statistics (CSIR Physical Sciences): Questions 3 - 4 of 4

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Question number: 3

» Thermodynamic and Statistical Physics » Classical and Quantum Statistics

Appeared in Year: 2011

MCQ▾

Question

Consider a system of N non – interacting spins, each of which has classical magnetic moment of magnitude μ . The Hamiltonian of this system in an external magnetic field H is H=i=1NμiH

where μi is the magnetic moment of the ith spin. The magnetization per spin at temperature T is: (June)

Choices

Choice (4) Response

a.

μ[coth(μHkBT)kBTμH]

b.

μtanh(μHkBT)

c.

μ2HkBT

d.

μ[sinh(μHkBT)]

Question number: 4

» Thermodynamic and Statistical Physics » Classical and Quantum Statistics

Appeared in Year: 2012

MCQ▾

Question

The dispersion relation of phonons in a solid is given by ω2(k)=ω02(3coskxacoskyacoskza) . The velocity of the phonons at large wavelength is, (June)

Choices

Choice (4) Response

a.

3ω0a

b.

ω0a

c.

ω0a3

d.

ω0a2

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