CSIR Physical Sciences: Questions 363 - 365 of 389

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Question number: 363

» Thermodynamic and Statistical Physics » Ising Model

Appeared in Year: 2011

MCQ▾

Question

A one – dimensional chain consists of a set of N rods each of length a . When stretched by a load, each rod can align either parallel or perpendicular to the length of the chain. The energy of a rod is ε when aligned parallel to the length of the chain and is +ε when perpendicular to it. When the chain is in thermal equilibrium at temperature T, its average length is – (December)

Choices

Choice (4) Response

a.

Na

b.

Na2

c.

Na(1+e2εkBT)

d.

Na1+e2εkBT

Question number: 364

» Thermodynamic and Statistical Physics » Bose-Einstein Condensation

Appeared in Year: 2011

MCQ▾

Question

The excitations of a three – dimensional solid are bosonic in nature with their frequency ω and wave – number k are related by ωk2 in the large wavelength limit. If the chemical potential is zero, the behaviour of the specific heat of the system at low temperature is temperature is proportional to – (December)

Choices

Choice (4) Response

a.

T3

b.

T12

c.

T

d.

T32

Question number: 365

» Quantum Mechanics » Motion in Central Potential » Hydrogen Atom

Appeared in Year: 2011

MCQ▾

Question

A particle in one dimension moves under the influence of a potential V(x)=ax6 , where a is a real constant. For large n the quantized energy level En depends on n as: (June)

Choices

Choice (4) Response

a.

En~n3

b.

En~n43

c.

En~n32

d.

En~n65

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