Thermodynamics and Statistical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 4 of 82

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Question number: 1

» Thermodynamics and Statistical Physics » Black-Body Radiation and Planck's Distribution Law

Appeared in Year: 2016

Short Answer Question▾

Write in Short

The total power emitted by a spherical black body of radius at a temperature is . Let be the total power emitted by another spherical black body of radius kept at temperature . The ratio is . (Give your answer up to two decimal places)

Question number: 2

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2016

Short Answer Question▾

Write in Short

The entropy of a system of spins, which may align either in the upward or in the downward direction, is given by . Here, is the Boltzmann constant. The probability of alignment in the upward direction is . The value of , at which the entropy is maximum is (Give your answer up to one decimal place)

Question number: 3

» Thermodynamics and Statistical Physics » Macrostates and Microstates

Appeared in Year: 2015

MCQ▾

Question

Consider a system of N non – interacting spin particles, each having a magnetic moment , is in a magnetic field . If is the total energy of the system, the number of accessible microstates is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Thermodynamics and Statistical Physics » Free Energy

Appeared in Year: 2014

MCQ▾

Question

For a free electron gas in two dimensions, the variation of the density of state, as a function of energy , is best represented by –

Choices

Choice (4) Response

a.

The density of state as a function of E - Choice A

The Density of State as a Function of E - Choice A

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

b.

The density of state as a function of E - Choice B

The Density of State as a Function of E - Choice B

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

c.

The density of state as a function of E - Choice C

The Density of State as a Function of E - Choice C

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

d.

The density of state as a function of E - Choice D

The Density of State as a Function of E - Choice D

In figure the variation of the density of state, N (E) as a function of energy E; is shown.

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