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JEE Main 20249 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 9 April
Shift: Evening Shift
Subject: Physics
Chapter: Nuclear Physics

JEE Main 2024 · 9 April · Evening Shift · Physics · Nuclear Physics

A nucleus at rest disintegrates into two smaller nuclei with their...

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of

2: 1

. After disintegration they will move :

Options

Ain the same direction with same speed.
Bin opposite directions with the same speed.
Cin opposite directions with speed in the ratio of $2: 1$ respectively.
Din opposite directions with speed in the ratio of $1: 2$ respectively.

Correct answer

D. in opposite directions with speed in the ratio of $1: 2$ respectively.

Step-by-step solution

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

1: 2

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