Question

In nuclear fission, $0.1\%$ mass is converted into energy. The energy released by the fission of $1 \,kg$ mass is:

• A. $2.5 \times 10^{7}\,kWh$
• B. $ 2.5\,\times 10^{3}\,kWh $
• C. $ 2.5\,\times 10^{6}\,kWh $
• D. $ 2\times 10^{8}\,kWh $

Answer 1

Answer: (A)

$\Delta E=m c^{2}$
$\Delta E=\frac{0.1}{100} \times 9 \times 10^{16} \,J$
$=\frac{9 \times 10^{13}}{36 \times 10^{5}}\, kWh$
$=2.5 \times 10^{7} \,kWh$