Question Bank MCQ • 1 Mark Section 5: Thermodynamics & Statistical Physics Bose-Einstein and Fermi-Dirac statistics

QB_PH_137: Bose-Einstein and Fermi-Dirac statistics

Question Statement

At temperatures $T \ll T_F$, the heat capacity of conduction electrons in a metal varies as:
(A) C_V \propto T
(B) C_V \propto T^3
(C) C_V \propto T^2
(D) C_V = \text{constant}
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Sommerfeld expansion yields linear electronic specific heat $C_{el} = \gamma T$.
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