Statistical Physics MCQ Level – 1

# Statistical Physics MCQ Level – 1

Test Description

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

Statistical Physics MCQ Level – 1 for IIT JAM 2023 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 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Statistical Physics MCQ Level – 1 below.
Solutions of Statistical Physics MCQ Level – 1 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for IIT JAM & Statistical Physics MCQ Level – 1 solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Statistical Physics MCQ Level – 1 | 10 questions in 30 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for IIT JAM Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
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.

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

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.

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

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

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.

## Topic wise Tests for IIT JAM Physics

217 tests
 Use Code STAYHOME200 and get INR 200 additional OFF Use Coupon Code
Information about Statistical Physics MCQ Level – 1 Page
In this test you can find the Exam questions for Statistical Physics MCQ Level – 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Statistical Physics MCQ Level – 1, EduRev gives you an ample number of Online tests for practice

217 tests