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Q.

200 Mev energy is released when one nucleus of ²³⁵U undergoes fission. Find the number of fissions per second required for producing a power of 1 mega watt.

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a

3.125 × 10¹⁶

b

3.125 × 10¹³

c

3.125 × 10¹⁴

d

3.125 × 10¹⁵

answer is C.

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Detailed Solution

E = 200Mev
$\begin{array}{l} = 200 \times 10^{6} \times 1 .6 \times 10^{- 19} = 32 \times 10^{- 12} J \\ P = \frac{nE}{t} \Rightarrow 10^{6} = \frac{n \times 32 \times 10^{- 12}}{1} \\ \Rightarrow n = \frac{10^{6}}{32 \times 10^{- 12}} = 3 .125 \times 10^{16} \end{array}$

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200 Mev energy is released when one nucleus of 235U undergoes fission. Find the number of fissions per second required for producing a power of 1 mega watt.