Atoms And Nuclei Question 355

Question: If 200 MeV energy is released in the fission of a single $ U^{235} $ nucleus, the number of fissions required per second to produce 1 kilowatt power shall be(Given $ ,1eV=1.6\times {{10}^{-19}}J $ )

Options:

A) $ 3.125\times 10^{13} $

B) $ ,3.125\times 10^{14} $

C) $ 3.125\times 10^{15} $

D) $ 3.125\times 10^{16} $

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Answer:

Correct Answer: A

Solution:

  • $ P-n( \frac{E}{t} )\Rightarrow 1000=\frac{n\times 200\times 10^{6}\times 1.6\times {{10}^{-19}}}{t} $
    $ \Rightarrow ,\frac{n}{t}=3.125\times 10^{13}. $


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