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Atoms and Nuclei question

2010 · Shift 2 · Q53

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JEE Advanced
Physics
Atoms and Nuclei
2010 · Shift 2 · Q53

Atoms and Nuclei question

2010 · Shift 2 · Q53

JEE AdvancedPhysicsAtoms and NucleiMCQ+3 / −1

The key feature of Bohr's theory of 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 nth level (n = 0 is not allowed) is

A
${1 \over {{n^2}}}\left( {{{{h^2}} \over {8{\pi ^2}I}}} \right)$
B
${1 \over n}\left( {{{{h^2}} \over {8{\pi ^2}I}}} \right)$
C
$n\left( {{{{h^2}} \over {8{\pi ^2}I}}} \right)$
D
${n^2}\left( {{{{h^2}} \over {8{\pi ^2}I}}} \right)$

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