JIPMER2015PhysicsNuclear Physics
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
- A2^ 1 / 3 : 1
- B1: 3^ 1 / 2
- C3^ 1 / 2 : 1
- 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