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JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Conservation of Momentum

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A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of . After disintegration they will move :-
  1. (A)In opposite directions with speed in the ratio of 1:2 respectively✓ Correct
  2. (B)In opposite directions with speed in the ratio of 2:1 respectively
  3. (C)In the same direction with same speed.
  4. (D)In opposite directions with the same speed.

Answer: (A)

Solution

By conservation of linear momentum, the initial momentum of the nucleus at rest is zero, so the two fragments must fly apart in opposite directions with equal and opposite momenta:

With ,

So the fragments move in opposite directions with speeds in the ratio .

JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Single correct option

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