Question

The energy released by the fission of one uranium atom is $200MeV$. The number of fissions per second required to produce $3.2W$ of power is (Take, $1eV=1.6\times {10}^{-19}J)$

• A. ${10}^7$
• B. ${10}^{10}$
• C. ${10}^{15}$
• D. ${10}^{11}$

Answer 1

The correct option is D ${10}^{11}$

We have the energy released by fission of one uranium atom is $200$ Mev.

So, $E=200\times {10}^6\times 1.6\times {10}^{-19}$

$=3.2\times 1o^{-11}J$

The power required $=3.2W$

Thus the number of fissions required is equal to $\frac{3.2}{3.2\times {10}^{-11}}={10}^{11}$ fissions.