When a slow neutron is captured by `U^(235)` nucleus nuclear fission takes place, each fission releases an energy of 200 MeV. The number of fissions required to occur (per sec) to produce a power of 1 MW is

Options

A. `6.2 xx 10^(16)`
B. `6.2 xx 10^(15)`
C. `1.56 xx 10^(16)`
D. `3.125 xx 10^(16)`

Answer

D

Explanation

Energy released in one Fission ,
= 200 MeV
`= 200 xx 1.6 xx 10^(-13)J`
Energy requireed per second = 1MW = `1 xx 10^(6)Js^(-1)`
Number of fissions per second
`200 xx 1.6 xx 10^(-13) rarr 1`
`1 xx 10^(6) rarr n`
`rArr n = 1 xx 10^(6)/(200 xx 1.6 xx 10^(-13))`
`:. n = 3.125 xx 10^(16)`