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NEET 2012 (AIPMT, Prelims) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from NEET 2012 (AIPMT, Prelims)

Q70NEET 2012 · AIPMT · PRELIMSMedium

Transitions, Photon Emission & Excitation

An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be

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Answer: (a)

Momentum conservation: $mv = \frac{h}{\lambda}$ ( $m$ = mass of the atom).
$\frac{1}{\lambda} = R\left(1 - \frac{1}{25}\right) = \frac{24R}{25}$
$v = \frac{24hR}{25m}$
So the answer is (a).

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