The allowed rotational energy levels of a rigid hetero-nuclear diatomic molecule...

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The allowed rotational energy levels of a rigid hetero-nuclear diatomic molecule are expressed as εJ = BJ (J + 1), where B is the rotational constant and J is a rotational quantum number.
In a system of such diatomic molecules of reduced mass μ, some of the atoms of one element are replaced by a heavier isotope, such that the reduced mass is changed to 1.05μ. In the rotational spectrum of the system, the shift in the spectral line, corresponding to a transition J = 4 → J = 5, is

A. 0.475 B

B. 0.50 B

C. 0.95 B

D. 1.0 B

Answer: Option A


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