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Statistical Physics MCQ Level – 1


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Statistical Physics MCQ Level – 1

Statistical Physics MCQ Level – 1 for IIT JAM 2022 is part of Topic wise Tests for IIT JAM Physics preparation. The Statistical Physics MCQ Level – 1 questions and answers have been prepared according to the IIT JAM exam syllabus.The Statistical Physics MCQ Level – 1 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 – 1 below.
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Statistical Physics MCQ Level – 1 - Question 1

In the equilibrium state, the thermodynamic probability of a system is.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 1

In the equilibrium state, the system attains the most stable state and the only possibility of finding the system is that particular equilibrium state, hence the probability in that state is 1.
The correct answer is: one

Statistical Physics MCQ Level – 1 - Question 2

A monoatomic crystalline solid comprises of N atoms, out of which n atoms are in interstitial positions. If the available interstitial sites are N', then number of possible microstates is.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 2

According to probability theory,
Number of ways for choosing n atoms out of N atoms 
and number of ways for putting n atoms in N' site 
∴ Total number of microstates are

The correct answer is: 

Statistical Physics MCQ Level – 1 - Question 3

Thermodynamic variables of a system can be volume V, pressure p, temperature T, number of particular N, internal energy E and chemical potential µ etc. For a system to be specified by microcanonical (MC), canonical ensemble (CE) and Grand Canonical (GC) ensembles, the parameters required for the respective example are :Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 3

Micro canonical ensemble, N, V and E are constants of the ensemble, hence MC : (E, V, N)
For canonical ensemble N, V and T are constants hence CE : (N, V, T)
For grand canonical ensemble, V, T and µ are constants hence GC : (V, T, µ)
The correct answer is: MC : (E, V, N); CE : (N, V, T); GC : (V, T, µ)

Statistical Physics MCQ Level – 1 - Question 4

If ρ represents the density of phase space. Which of the following is the equation for Liouville’s theorem.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 4

It is about conservation of density of point  in phase space.
∴ 
or 
Using Hamiltonian’s equation of motion

and  
We get 

[ρ,H] represents poisson’s bracket.
The correct answer is: 

Statistical Physics MCQ Level – 1 - Question 5

In a microcanonical ensemble, a system A of fixed volume is in contact with a large reservoir B. Then
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 5

In a microcanonical ensemble, the system is assumed to be isolated in the sense that the system cannot exchange energy or particles with its environment, so that the energy of the system remains exactly known as the time goes on.
The correct answer is: A can exchange neither energy nor particles with B

Statistical Physics MCQ Level – 1 - Question 6

Canonical ensemble is related to.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 6

A canonical ensemble is the statistical ensemble that represents the possible states of a mechanical system in thermal equilibrium with a heat bath at a fixed temperature.
The correct answer is: Thermal equilibrium of system

Statistical Physics MCQ Level – 1 - Question 7

In a classical microcanonical ensemble for a system of N interacting particles, the fundamental volume in phase space which is regarded as equivalent to one microstate is.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 7

For the particle, volume of phase space corresponding to one microstate is
dV = (dxdydz)(dpxdpydpz)
= h3
For N interacting particles, the volume of one microstate is

= (h3)·h3 ···N terms

The correct answer is: h3N

Statistical Physics MCQ Level – 1 - Question 8

A one-dimensional random walker takes steps to the left or right with equal probability. The probability that the random walker starting from the origin is back to the origin after N even number of steps is.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 8

Probability is given by

Here m = 0

The correct answer is:  

Statistical Physics MCQ Level – 1 - Question 9

In a canonical ensemble, a system A of fixed volume is in contact with a large reservoir B then
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 9

In canonical ensemble, system can exchange energy with the heat bath so that the states of the system will differ in total energy.
The correct answer is: A can exchange only energy with B

Statistical Physics MCQ Level – 1 - Question 10

For a microcanonical ensemble, the phase density inside a small energy interval remains constant and outside such a region, it is.
Select one:

Detailed Solution for Statistical Physics MCQ Level – 1 - Question 10

Since, we take energy interval where phase density remains constant, and energy is the constant of the ensemble, we tend to consider the phase density to be zero outside thus interval.
The correct answer is: Zero

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