Q34 · CSIR-NET Chemistry, December 2014

Paper: CSIR-NET December 2014 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Marks: 2 · Difficulty: Medium

The probability of finding the harmonic oscillator in the energy level $n=1$ is (neglect zero point energy and assume $h\nu=k_{B}T$)

(a)e

(b)$e^{2}$

(c)$1-e^{2}$

(d)$e^{-2}(e-1)$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

q = 1/(1 − e^(−1)); P(n=1) = e^(−1)(1 − e^(−1)) = (e − 1)/e² (d).

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