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

QB_PH_143: Bose-Einstein and Fermi-Dirac statistics

Question Statement

The average occupation number $\langle n_i \rangle$ of a single-particle fermion state cannot exceed:
(A) 1
(B) 2
(C) k_B T
(D) \infty
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: By Pauli exclusion, $\langle n_i \rangle = \frac{1}{e^{(\epsilon_i - \mu)/k_B T} + 1} \le 1$.
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