PHXII13:NUCLEI
363648
In nuclear fission \(0.1 \%\) mass is converted into Energy. The energy released in the fission of \(1\,kg\) mass is
1 \(2.5 \times {10^5}\,kWh\)
2 \(2.5 \times {10^7}\,kWh\)
3 \(2.5 \times {10^9}\,kWh\)
4 \(2.5 \times {10^-7}\,kWh\)
Explanation:
\(E=\dfrac{0.1}{100} m c^{2}\); in \(k W h=\dfrac{E}{36 \times 10^{5}}\)
\(Q({\rm{in}}\,kWh) = \frac{{0.1}}{{100}}\frac{{m{c^2}}}{{36 \times {{10}^5}}}\)
\( = \frac{{0.1}}{{100}} \times \frac{{1 \times 9 \times {{10}^{16}}}}{{36 \times {{10}^5}}}\)
\( = \frac{{0.1}}{4} \times {10^9} = 2.5 \times {10^7}kWh.\)