Thermodynamics and Statistical Physics-Probability Ensembles (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 5 of 11

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Question number: 1

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2016

Short Answer Question▾

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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: 2

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2014

MCQ▾

Question

Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is –

Choices

Choice (4) Response

a.

b.

c.

d.

Passage

There are four energy levels (where ). The canonical partition function of two particles is, if these particles are:

Question number: 3 (1 of 1 Based on Passage) Show Passage

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2013

MCQ▾

Question

Two identical fermions –

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Choice (4) Response

a.

b.

c.

d.

Question number: 4

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2013

Short Answer Question▾

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The number of distinct ways of placing four indistinguishable balls into five distinguishable boxes is .

Question number: 5

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2009

MCQ▾

Question

The probability that an energy level at a temperature is unoccupied by a fermion of chemical potential is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

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