The rotational energy of a diatomic molecule of rotational constant B joule are :
(A) B, 2B, 3B ....
(B) 0, 2B, 6B, 12B .......
(C) B, 4B, 9B .........
(D) 0, 2B, 4B, 6B
Answers
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Answer:
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Explanation:
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Answered by
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The correct answer to this question is option (B) 0, 2B, 6B, 12B .....
Explanation:
- Diatomic molecules are frequently estimated as rigid rotors, indicating that the bond length is presumed to be fixed. Elucidating the Schrodinger equation for a rigid rotor gives the subsequent energy levels:
- In the given equation,
- J = quantum number for total rotational angular momentum, and
- B = rotational constant, which is associated with the moment of inertia
- Inertia, μ, where μ is the reduced mass and r is the bond length.
- B is typically given in units of 1/cm, and the speed of light in this equation, c, has to be in cm/s rather than m/s. Using B in 1/cm will gives energy in the same units.
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