Question 189 of 239
A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of . After disintegration they will move :
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Answer: (D) in opposite directions with speed in the ratio of respectively.
By conservation of momentum
$\begin{aligned}& \mathrm{p}_{\mathrm{i}}=\mathrm{p}_{\mathrm{f}} \\
& \mathrm{O}=\mathrm{m}_1 \mathrm{u}_{1+} \mathrm{m}_2 \mathrm{u}_2 \\& \frac{\mathrm{u}_1}{\mathrm{u}_2}=-\left[\frac{1}{2}\right] \text { as } \frac{\mathrm{m}_1}{\mathrm{~m}_2}=\frac{2}{1}
\end{aligned}$
move in opposite direction with speed ratio
$\begin{aligned}& \mathrm{p}_{\mathrm{i}}=\mathrm{p}_{\mathrm{f}} \\
& \mathrm{O}=\mathrm{m}_1 \mathrm{u}_{1+} \mathrm{m}_2 \mathrm{u}_2 \\& \frac{\mathrm{u}_1}{\mathrm{u}_2}=-\left[\frac{1}{2}\right] \text { as } \frac{\mathrm{m}_1}{\mathrm{~m}_2}=\frac{2}{1}
\end{aligned}$
move in opposite direction with speed ratio