Nuclear Physics And Radioactivity Question 111

Question: In hydrogen atom, electron makes transition from n =4 to n = 1 level. Recoil momentum of the H atom will be

Options:

A) $ 3.4\times {{10}^{-27}}N\text{-}\sec $

B) $ 6.8\times {{10}^{-27}}N\text{-}\sec $

C) $ 3.4\times {{10}^{-24}}N\text{-}\sec $

D) $ 6.8\times {{10}^{-24}}N\text{-}\sec $

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Answer:

Correct Answer: B

Solution:

[b] Recoil momentum = momentum of photon $ =\frac{h}{\lambda } $ $ =hR( \frac{1}{n^{2}{1}}-\frac{1}{n^{2}{2}} )=\frac{hR\times 15}{16}=6.8\times {{10}^{-27}} $ N-sec