MHT CET202122 Sep 2021Morning ShiftPhysicsNuclear PhysicsActual
A nucleus breaks into two nuclear parts, which have their velocity ratio 2: 1 . The ratio of their nuclear radii will be
Options
- A2
- B1 2
- C1 2^ 1 / 3
- D1 2
Correct answer
C. 1 2^ 1 / 3
Step-by-step solution
By law of conservation of momentum, the two parts will have equal and opposite momentum, assuming the nucleus was initially at rest. aligned & m ₁ v ₁= m ₂ v ₂ or m ₁ ~m ₂ = v ₂ v ₁ = 1 2 & m ₁ ~m ₂ = ( r ₁ r ₂ )^3= 1 2 & r ₁ r ₂ = 1 2^ 1 / 3 aligned