A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of \(2: 1\). After disintegration they will move :-

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Answer & Solution

Correct Answer

(A) \(In\) opposite directions with speed in the ratio of \(1: 2\) respectively

Step-by-step Solution

Detailed explanation

By conservation of momentum

\(\mathrm{p}_{\mathrm{i}}=\mathrm{p}_{\mathrm{f}}\)

\(\mathrm{O}=\mathrm{m}_1 \mathrm{u}_1 \mathrm{~m}_2 \mathrm{u}_2\)

\(\frac{\mathrm{u}_1}{\mathrm{u}_2}=-\left[\frac{1}{2}\right]\)as

\(\frac{\mathrm{m}_1}{\mathrm{~m}_2}=\frac{2}{1}\)

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