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An electron in an H-atom kept at rest , ...

An electron in an H-atom kept at rest , jumps from the nth shell to the nth shell `(m gt n)`. Suppose instead of emitting electromagnetic wave, the energy reased is converted into the kinetic energy of the atom. Assume the Bohr model and convervation of angular momentum are valid. If `l` is the moment of inertia the angular valocity of the atom about the nucleus is `4 (m - n) h // kl`. Calculate `k`

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The correct Answer is:
8

Change in angular momentum `= 1 omega`
` implies (mh)/(2 pi) = (nh)/(2 pi) = 1 omega implies omega =((m - n) h)/(6.28I)`
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