Nuclear Physics And Radioactivity Question 26

Question: In hydrogen atom, electron makes transition from n=4 to n=1 level. Recoil momentum of the H atom will be [MP PMT 1994]

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:

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