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Question: Energy released in the fission of a single \(92U^{235}\) nucleus is 200 MeV. The fission rate of a \...

Energy released in the fission of a single 92U23592U^{235} nucleus is 200 MeV. The fission rate of a 92U23592U^{235}fuelled reactor operating at a power level of 5W is.

A

1.56×10+10s11.56 \times 10^{+ 10}s^{- 1}

B

1.56×10+11s11.56 \times 10^{+ 11}s^{- 1}

C

1.56×10+16s11.56 \times 10^{+ 16}s^{- 1}

D

1.56×10+17s11.56 \times 10^{+ 17}s^{- 1}

Answer

1.56×10+11s11.56 \times 10^{+ 11}s^{- 1}

Explanation

Solution

EnergyFission=2006muMeV=200×106×1.6×1019J\frac{Energy}{Fission} = 200\mspace{6mu} MeV = 200 \times 10^{6} \times 1.6 \times 10^{- 19}J

Fission rate =52006muMeV=1.56×1011= \frac{5}{200\mspace{6mu} MeV} = 1.56 \times 10^{11}fission/sec.