Thermodynamics and Statistical Physics-Probability Ensembles (GATE Physics): Questions 1 - 4 of 4

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Question number: 1

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2016

Short Answer Question▾

Write in Short

The entropy S of a system of N spins, which may align either in the upward or in the downward direction, is given by S=kBN[plnp+(1p)ln(1p)] . Here, kB is the Boltzmann constant. The probability of alignment in the upward direction is p . The value of p , 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.

3kBln4

b.

kBln2

c.

2kBln2

d.

2kBln4

Passage

There are four energy levels E,2E,3Eand4E (where E>0 ). 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 –

Choices

Choice (4) Response

a.

e2βEe4βE+e6βEe8βE

b.

e2βE+e4βE+e6βE+e8βE

c.

e3βE+e4βE+2e5βE+e6βE+e7βE

d.

(eβE+e2βE+e3βE+e4βE)2

Question number: 4

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2013

Short Answer Question▾

Write in Short

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

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