Question Bank MCQ • 2 Marks Section 5: Thermodynamics & Statistical Physics Thermodynamics & Statistical Physics - Module 4

QB_PH_148: Thermodynamics & Statistical Physics - Module 4

Question Statement

The root-mean-square energy fluctuation $\Delta E$ in a canonical ensemble is related to $C_v$ by:
(A) \Delta E = \sqrt{k_B T^2 C_v}
(B) \Delta E = k_B T C_v
(C) \Delta E = \sqrt{k_B T C_v}
(D) \Delta E = k_B T^2 / C_v
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $\langle (E - \langle E \rangle)^2 \rangle = k_B T^2 C_v$.
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