A system of N distinguishable particles, each of which can be in one of the two energy levels 0 and \epsilon, has a total energy n\epsilon, where n is an integer. The entropy of the system is proportional to

Microcanonical Ensemble — CSIR Net PYQ (Question 1)

A Microcanonical Ensemble previous-year question (PYQ) from Statistical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 11 · 3.5 marks

A system of

N

distinguishable particles, each of which can be in one of the two energy levels 0 and

ϵ

, has a total energy

n ϵ

, where

n

is an integer. The entropy of the system is proportional to

1 $N l nn$
2 $n l n N$
3 $l n (\frac{N !}{n !})$
4 $l n (\frac{N !}{n ! ( N - n )!})$

Correct answer: Option 4

Practise all 11 Microcanonical Ensemble questions with instant feedback.

Practise this topic →

About this question

This Microcanonical Ensemble PYQ is part of the Statistical Mechanics section of CSIR Net. Browse more Microcanonical Ensemble questions or join the PhysicsByAaryan live batch for full conceptual coverage.