Question

The energy released per fission of ${}_{92}{U}^{235}$ is 200 Mev. The fission rate of ${}_{92}{U}^{235}$ required to produce 2 watt power is

• A. 1.25 x10${}^{26}$ per second
• B. 2.56x 10${}^{26}$ per second
• C. 1.25x 10 ${}^{13}$per second
• D. 6.25 x10${}^{10}$ per second

Answer 1

The correct option is D 6.25 x10${}^{10}$ per second

$1$ fission causes $200MeV$.
$1MeV=1.6\times {10}^{-13}J$
i.e. $200MeV=3.2\times {10}^{-11}J$
To generate $2W$, we need $\frac{2}{3.2\times {10}^{-11}}$ fission every second.

$=6.25\times {10}^{10}$ fissions per second.