Thermodynamics and Statistical PhysicsProbability 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
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: 2
» Thermodynamics and Statistical Physics » Probability Ensembles
Appeared in Year: 2014
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 –
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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
Question
Two identical fermions –
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Question number: 4
» Thermodynamics and Statistical Physics » Probability Ensembles
Appeared in Year: 2013
Write in Short
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
Question
The probability that an energy level at a temperature is unoccupied by a fermion of chemical potential is given by,
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