A nucleus at rest splits into two nuclear parts having radii in the ratio ( 1: 2 ). Their velocities are in the ratio

Step-by-step solution

Given, nucleus at rest splits into two nuclear parts, then [ aligned m₁ v₁ &=m₂ v₂ v₁ v₂ &= m₂ m₁ aligned ] We know that ( A R² ) Also, ( A m ) [ array l m R³ v₁ v₂ = R₂ ³ R₁ ³ array ] Now, given ratio of radii is ( 1: 2 ). Therefore, the velocities are in the ratio ( 8: 1 ).