In a uranium reactor whose thermal power is `P=100 MW`, if the average number of neutrons liberated in each nuclear spitting is `2.5`. Each splitting is assumed to release an energy `E=200 MeV`. The number of neutrons generated per unit time is-

Options

A. `4xx10^(18)s^(-1)`
B. `8xx10^(19)s^(-1)`
C. `8xx10^(19)s^(-1)`
D. `(125)/(16)xx10^(18)s^(-1)`

Answer

D

Explanation

No. of nuclear spliting per second is
`N=(100MW)/(200MeV)=(100)/(200xx1.6xx10^(-19))S^(-1)`
No. of neutrons Liberated `=(100)/(200)xx(1)/(1.6xx10^(-19))xx2.5S^(-1)=(125)/(16)xx10^(18)S^(-1)`