IGNOU MCH 20 2026 - has bond length . Calculate the wavenumbers of the first fo

Question

$\text{CN}^+$ has bond length $129 \text{ pm}$ . Calculate the wavenumbers of the first four lines in its microwave spectrum.
[Given: mass of C=12.000 u and mass of N=14.007 u]

21 Jan 2026

Answer :

Word Count : 368

The rotational energy levels of a diatomic molecule are given by: [ E_J = B J(J+1) \quad \text{with } B = \frac{h}{8 \pi^2 I c} \text{ in cm}^{-1} ] where ( I = \mu r^2 ) is the moment of inertia, (\mu) is the reduced mass, (r) is bond length, (h) is Planck’s constant, and (c) is the speed of light. Step 1: Reduced mass [ \mu = \frac{m_C m_N}{m_C + m_N} = \frac{12.000 \times 14.007}{12.000 + 14.007} \text{ u} =

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