Rotational Motion Question 24

Question: A diatomic molecule is made of two masses $ m _1 $ and $ m _2 $ which are separated by a distance r. If we calculate its rotational energy by applying Bohr’s rule of angular momentum quantization, its energy will be given by: (n is an integer)

[AIEEE 2012]

Options:

A) $ \frac{{{(m _1+m _2)}^{2}}n^{2}h^{2}}{2m_1^{2}m_2^{2}r^{2}} $

B) $ \frac{n^{2}h^{2}}{2(m _1+m _2)r^{2}} $

C) $ \frac{2n^{2}h^{2}}{(m _1+m _2)r^{2}} $

D) $ \frac{(m _1+m _2)n^{2}h^{2}}{2m _1m _2r^{2}} $

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Answer:

Correct Answer: D

Solution:

  • [d] $ \frac{(m _1+m _2)n^{2}h^{2}}{2m _1m _2r^{2}} $


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