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JEE Main202325 Jan 2023Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2 . The ratio of their nuclear sizes will be x 3 1 3 . The value of ‘ x ’ is:

Correct answer

0

Step-by-step solution

Given here, v 1 v 2 = 3 2 Using conservation of momentum during disintegration, we have m 1 v 1 = m 2 v 2 ⇒ m 1   m 2 = 2 3 Since, m = 4 3 π R 3 ρ   We have m ∝ R 3     ∵ nuclear mass density ,   ρ = constant m 1 m 2 = R 1 R 2 3 ⇒ R 1 R 2 = 2 3 1 3 So, x = 2 .

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