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NEET2015PhysicsNuclear PhysicsActual

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2: 1 . The ratio of their nuclear size will be

Options

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

Correct answer

D. 1: 2^ 1 / 3

Step-by-step solution

According to the law of conservation of momentum, we get m₁ V₁=m₂ V₂ or ( m₁ m₂ )= ( v₂ v₁ ) But m= 4 3 r^3 or m r^3 array ll & m₁ m₂ = r₁^3 r₂^3 & r₁^3 r₂^3 = V₂ V₁ = 1 2 & r₁ r₂ = ( 1 2 )^ 1 / 3 & r₁: r₂=1:(2)^ 1 / 3 array

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