When an electron jumps from a level n = 4 to n = 1, the momentum of the recoiled hydrogen atom will be

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6.5 × 10^–27 kg ms^–1

12.75 × 10^–19 kg ms^–1

Zero

13.6 × 10^–27 kg ms^–1

answer is A.

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Detailed Solution

P_H–atom = P_photon $; = \frac{h}{λ}$
$\begin{array}{l} = h [{RZ}^{2} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})] \\ = 6 .6 \times 10^{- 34} [10^{7} (1)^{2} (\frac{1}{1^{2}} - \frac{1}{4^{2}})] \\ = 6 .5 \times 10^{- 27} . (nearly) \end{array}$

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