JEE Mains · Physics · STD 12 - 13. Nuclei
A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of \(2: 1\). After disintegration they will move :-
- A \(In\) opposite directions with speed in the ratio of \(1: 2\) respectively
- B \(In\) opposite directions with speed in the ratio of \(2:1\) respectively
- C \(In\) the same direction with same speed.
- D \(In\) opposite directions with the same speed.
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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