Q110 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Molecular Spectroscopy · Topic: Molecular Spectroscopy – General · Marks: 2 · Difficulty: Medium

The vibrational frequency of a homo-nuclear diatomic molecule is v. The temperature at which the population of the first excited state will be half that of the ground state is given by

(a)$\mathrm{hv} \cdot \ln 2 / \mathrm{kB}$

(b)$\mathrm{hv} /(\ln 2 \mathrm{kB})$

(c)$\ln 2 /(\mathrm{hv} \cdot \mathrm{kB})$

(d)$\mathrm{hv} \cdot \log 2 / \mathrm{kB}$

Answer

Answer: B ✓ checked by 4AB · confidence high

Explanation

N₁/N₀ = e^{−hν/kT} = ½ ⇒ T = hν/(k_B ln 2).

Study loop for Molecular Spectroscopy

1. Practise the PYQsPrevious-year questions, with answers

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