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BITSAT2020PhysicsCenter of Mass, Momentum and CollisionActual

A nucleus splits into two nuclear parts which have their velocity ratio equal to 2: 1 . What will be the ratio of their nuclear radius?

Options

  1. A2^ 1 / 3 : 1
  2. B1: 2^ 1 / 3
  3. C3^ 1 / 2 : 1
  4. D1: 3^ 1 / 2

Correct answer

B. 1: 2^ 1 / 3

Step-by-step solution

As momentum is conserved, therefore m ₁ ~m ₂ = A ₁ ~A ₂ = v ₂ v ₁ = 1 2 R ₁ R ₂ = ( A ₁ ~A ₂ )^ 1 / 3 = ( 1 2 )^ 1 / 3 =1: 2^ 1 / 3

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