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