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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/n2 (h2/8π2I) (b) 1/n (h2/8π2I)(c) n (h2/8π2I)(d) n2 (h2/8π2I) |
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Answer» Correct Answer is: (d) n2 (h2/8π2I) α = nh/2π, Rotational KE = α2/2I = (nh/2π)2 1/2I = n2 (h2 / 8π2I) |
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