Q 12-13-075JEE MainJEE Main 2023 (11 Apr, Shift 2)Easy
A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is $1:2^{1/3}$. Their respective speeds have a ratio of $n:1$. The value of $n$ is ______.
Numerical value type. Enter your answer.
Answer: 2
$R\propto A^{1/3}$, so the masses are in the ratio $1:2$. Momentum conservation gives speeds in the inverse ratio $2:1$, so $n=2$.
Solution by Sreeraj P, M.Sc Physics