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MHT CET · Physics · Atomic Physics

Using Bohr's quantization condition, the rotational kinetic energy in the third orbit for a diatomic molecule is ( \(h=\) Planck's constant, \(I=\) moment of inertia of diatomic molecule)

  1. A \(\frac{9 h^2}{8 \pi^2 I}\)
  2. B \(\frac{3 \mathrm{~h}^2}{8 \pi^2 \mathrm{I}}\)
  3. C \(\frac{6 \mathrm{~h}^2}{8 \pi \mathrm{I}}\)
  4. D \(\frac{12 h^2}{7 \pi^2 I}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{9 h^2}{8 \pi^2 I}\)

Step-by-step Solution

Detailed explanation

L = \(n\frac{h}{2\pi}\) L = \(3\frac{h}{2\pi}\)