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

QB_PH_131: Thermodynamics & Statistical Physics - Module 4

Question Statement

A two-level system has energies $0$ and $\epsilon$. In the high temperature limit ($k_B T \gg \epsilon$), the canonical partition function $Z$ approaches what integer?
Correct Answer
2, 2
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $Z = 1 + e^{-\epsilon / k_B T} \to 1 + 1 = 2$.
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