A nucleus at rest splits into two nuclear parts having same density and radii in the ratio 1:2. Their velocities are in the ratio,

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Accepted Answer

(4) 8:1. Given: the two fragments have the same density and radii in the ratio R₁:R₂=1:2. Idea: equal density means mass goes with volume, m∝ R³; and since the parent was at rest, the two fragments carry equal and opposite momentum. Mass ratio: (m₁)/(m₂)=((R₁)/(R₂))³=1/8. Momentum: m₁v₁=m₂v₂, so (v₁)/(v₂)=(m₂)/(m₁)=8. The smaller fragment is the faster one: the velocities are in the ratio 8:1.

A nucleus at rest splits into two nuclear parts having same density and radii in the ratio 1:2. Their velocities are in the ratio,

Step-by-step solution

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