A nucleus disintegrates into two nuclear parts, in such a way that the ratio of their nuclear sizes is . Their respective speeds have a ratio of . The value of is ______. [2023]

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Solution

Q.
A nucleus disintegrates into two nuclear parts, in such a way that the ratio of their nuclear sizes is $1 : 2^{1 / 3}$ . Their respective speeds have a ratio of $n : 1$ . The value of $n$ is ______. [2023]

Ans.
(2)

$\frac{v_{1}}{v_{2}} = \frac{m_{2}}{m_{1}} = \frac{A_{2}}{A_{1}} = \frac{2}{1}$

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