Canonical Ensemble — CSIR Net PYQ (Question 2)

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 2 of 36 · 3.5 marks

The Hamiltonian of a system of

N

non interacting spin

- \frac{1}{2}

particles is

H = - μ_{0} B \sum_{i} S_{i}^{z}

, where

S_{i}^{z} = \pm 1

are components of

i^{t h}

spin along an external magnetic field

B

. At a temperature

T

such that

e^{\frac{μ _{0} B}{k _{B} T}} = 2

. the specific heat per particle is

1 $\frac{16}{25} k_{B}$
2 $\frac{8}{25} k_{B} l n 2$
3 $k_{B} (l n 2)^{2}$
4 $\frac{16}{25} k_{B} (l n 2)^{2}$

Correct answer: Option 4

← Previous Next →

Practise all 36 Canonical Ensemble questions with instant feedback.

Practise this topic →

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.