A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1 : 2 1 /…

A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:21/3. Their respective speed have a ratio of n:1. The value of n is_________

Solution

Using the law of Momentum conservation

m1v1+m2(-v2)=0
⇒m1v1=m2v2
⇒m1m2=v2v1⇒4πρr3134πρr323=v2v1

It is given

 r1r2=1213
and r1r23=v2v1Therefore,12=v2v1
⇒v1v2=21

Asked in: JEE Main 2023 (11 Apr Shift 2)

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