IGNOU MCH 20 2026 - The frequencies of the first and second overtones respectively are exa

Question

The frequencies of the first and second overtones respectively are exactly double and triple of the fundamental vibration frequency. Comment.

21 Jan 2026

Answer :

Word Count : 254

For a vibrating system like a diatomic molecule, the fundamental frequency ( \nu_1 ) corresponds to the transition from the ground vibrational level ( v = 0 ) to ( v = 1 ). In the harmonic approximation, the vibrational energy levels are equally spaced and given by [ E_v = \left(v + \frac{1}{2}\right) h \nu_0

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