JEE Main 2023PhysicsCenter of Mass Momentum and CollisionMediumNumerical

JEE Main 2023 — Center of Mass Momentum and Collision Question with Solution

JEE Main 2023 (11 Apr Shift 2)

Question

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_________

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

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

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About this question

This is a previous-year question from JEE Main 2023, covering the Center of Mass Momentum and Collision chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.