Thermodynamics and Statistical Physics-Probability Ensembles (GATE Physics): Questions 1 - 4 of 10

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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 Equation of a system of Equation spins, which may align either in the upward or in the downward direction, is given by Equation . Here, Equation is the Boltzmann constant. The probability of alignment in the upward direction is Equation . The value of Equation , at which the entropy is maximum is Equation (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.

Equation

b.

Equation

c.

Equation

d.

Equation

Passage

There are four energy levels Equation (where Equation ). 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation .

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