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Statistical Physics MCQ Level – 2


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Statistical Physics MCQ Level – 2

Statistical Physics MCQ Level – 2 for IIT JAM 2022 is part of Topic wise Tests for IIT JAM Physics preparation. The Statistical Physics MCQ Level – 2 questions and answers have been prepared according to the IIT JAM exam syllabus.The Statistical Physics MCQ Level – 2 MCQs are made for IIT JAM 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Statistical Physics MCQ Level – 2 below.
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Statistical Physics MCQ Level – 2 - Question 1

If Z be the partition function and  then the average energy of the system is given by.
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 1

Average energy of a system is defined as


The correct answer is: 

Statistical Physics MCQ Level – 2 - Question 2

For a Fermi gas of N particles in three dimension at T = 0K, the Fermi energy Ef is proportional to
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 2

The Fermi energy is given by

The correct answer is: N2/3

Statistical Physics MCQ Level – 2 - Question 3

Gibb’s paradox arises due to.
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 3

In a semi-classical derivation of entropy that does not take into account the indistinguishability of particles, yields an expression for the entropy which is not extensive. This is called Gibb’s Paradox.
The correct answer is: Distinguishability of classical particles

Statistical Physics MCQ Level – 2 - Question 4

Which of the following relations between the particle number density n and temperature T must hold good for a gas consisting of non-interacting particles to be described by quantum statistics?
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 4

The particle density and temperature T are related as

The correct answer is:  

Statistical Physics MCQ Level – 2 - Question 5

When an ideal quantum gas can be treated as an ideal classical gas?
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 5

Let us take  where V is volume and N is number of particles.
Now, for 
i.e. when interparticle is much larger than the thermal de-Broglie wavelength, the gas will obey Maxwell Boltzmann Statistics.
The correct answer is: When de-Broglie wavelength is much smaller than the inter-particle distance

Statistical Physics MCQ Level – 2 - Question 6

What is the partition function of a monoatomic gas contained in value V, at temperature T and pressure p
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 6


Let 
∴ 


∴ 
The correct answer is:  

Statistical Physics MCQ Level – 2 - Question 7

Consider a one level system having energy  where V0 is a constant and symbols have usual meanings, the partition function for the system is.
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 7

Partition function 

⇒ 
The correct answer is: 

Statistical Physics MCQ Level – 2 - Question 8

The partition function of a single gas molecule is Zα. The partition function of N such non-interacting gas molecules is then given by
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 8

Partition function of single gas molecule = Zα
Since N particles are non-interacting, the partition function = 

The correct answer is: 

Statistical Physics MCQ Level – 2 - Question 9

The classical partition function Z gives the
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Detailed Solution for Statistical Physics MCQ Level – 2 - Question 9

Classical partition function Z gives nothing but sum of all the possible states. In discrete systems, it gives basically the sum over all the microstates and in continuous systems it is represented in terms of integrating.
The correct answer is: Sum of states of the system

Statistical Physics MCQ Level – 2 - Question 10

For a single particle of mass m enclosed in a volume V. the number of accessible microstate in energy range E to  is given by the (the phase space is divided by the rule 
Select one:

Detailed Solution for Statistical Physics MCQ Level – 2 - Question 10

The phase space volume is 
where  
and   is limited by 

Hence 
∴ Volume of phase space 

Number of phase space = 

The number of microstates in the energy range E to  is


The correct answer is: 

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