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The key feature of Bohr's spectrum of hy...

The key feature of Bohr's spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of a diatomic molecule assuming it to be rigid.The rule to be applied is Bohr's quantization condition.
A diatomic molecule has moment of inertia `I`. By Bohr's quantization condition its rotational energy in the `n^(th)` level (`n = 0` is not allowed ) is

A

`(1)/(n^(2))((h^(2))/(8pi^(2)I))`

B

`(1)/(n)((h^(2))/(8pi^(2)I))`

C

`n((h^(2))/(8pi^(2)I))`

D

`n^(2)((h^(2))/(8pi^(2)I))`

Text Solution

Verified by Experts

The correct Answer is:
d
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