A diatomic molecular has moment of inertia I. By Bohr's quantization condition its rotational energy in the `n^(th)` level (n = 0 is not allowed) is

Options

A. `1/(n^(2))((h^(2))/(8 pi ^(2) I))`
B. `1/n((h^(2))/(8 pi ^(2)I))`
C. `n ((h^(2))/(8 pi^(2)I))`
D. `n^(2)((h^(2))/(8 pi^(2)I))`

Answer

D

Explanation

Angular momentum, `L = (nh)/(2pi)`
Rotation K.E = `(L^(2))/(2I) = (n^(2)h^(2))/(8pi^(2)I)`