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Question:

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?

1n(h²/8π²I)

n²(h²/8π²I)

n(h²/8π²I)

1n²(h²/8π²I)

Solution:

L = n(h/2π)
K.E. = L²/2I = (n(h/2π))²/2I = n²(h²/8π²) / 2I = n²(h²/8π²I)