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A heavy nucleus at rest breaks into two fragments which fly off with velocities in the ratio 3: 1 . The ratio of radii of the fragments is

Options

  1. A1: 3^ 1 / 3
  2. B3^ 1 / 3 : 4
  3. C4: 1
  4. D2: 1

Correct answer

A. 1: 3^ 1 / 3

Step-by-step solution

From law of conservation of momentum aligned m v= constant & V v & =k 4 3 R^3 v & =k aligned ( R₁ R₂ )^3= v₂ v₁ R₁ R₂ = ( v₂ v₁ )^ 1 / 3 = ( 1 3 )^ 1 / 3 =1: 3^ 1 / 3

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