Canonical Ensemble — CSIR Net PYQ (Question 3)

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

Question 3 of 36 · 5.0 marks

An ensemble of non-interacting spin

- \frac{1}{2}

particles is in contact with a heat bath at temperature

T

and is subjected to an external magnetic field. Each particle can be in one of the two quantum states of energies

\pm ϵ_{0}

. If the mean energy per particle is

- ϵ_{0} /2

, then the free energy per particle is

1 $- 2 \in_{0} \frac{l n ( 4/ 3 )}{l n 3}$
2 $- \in_{0} l n (3/2)$
3 $- 2 \in_{0} l n 2$
4 $- \in_{0} \frac{l n 2}{l n 3}$

Correct answer: Option 1

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About this question

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