Question Bank MCQ • 2 Marks Section 5: Thermodynamics & Statistical Physics Bose-Einstein and Fermi-Dirac statistics

QB_PH_147: Bose-Einstein and Fermi-Dirac statistics

Question Statement

Does an ideal uniform 2D Bose gas undergo Bose-Einstein condensation at non-zero temperature $T > 0$?
(A) No, because the thermal particle integral diverges at low energies for finite $\mu < 0$
(B) Yes, with the same $T_c$ as 3D
(C) Yes, if spin > 0
(D) Yes, at $T_c \to \infty$
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: In 2D, constant density of states causes logarithmic divergence, preventing BEC at $T > 0$.
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