Q159 / 180 · COMEDK 2018 · Physics
The ratio of the nuclear radii of elements with mass numbers 216 and 125 is
- A$216: 125$
- B$\sqrt{216}: \sqrt{125}$
- Correct answerC$6: 5$
- DNone of these
Solution
Nuclear radius and mass number $A$ are related with following relation,
Energy released per fission,
$$
\begin{aligned}
E_{1} &=200 \mathrm{MeV} \\
&=200 \times 10^{6} \times 1.6 \times 10^{-19} \mathrm{~J} \\
&=320 \times 10^{-13} \mathrm{~J} \\
&=3.2 \times 10^{-11} \mathrm{~J}
\end{aligned}
$$
The rate of fission $R$ is given as
$$
\begin{aligned}
&R=\frac{P_{0}}{E_{1}} \\
&=\frac{1.6 \times 10^{6}}{3.2 \times 10^{-11}} \\
&=0.5 \times 10^{17}=5 \times 10^{16} / \mathrm{s}
\end{aligned}
$$
Hence, the correct answer is option: 'C'.