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A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration they will move :- (1) In opposite directions with speed in the ratio of 1:2 respectively (2) In opposite directions with speed in the ratio of 2:1 respectively (3) In the same direction with same speed. (4) In opposite directions with the same speed.
- In opposite directions with speed in the ratio of 1:2 respectively
- In opposite directions with speed in the ratio of 2:1 respectively
- In the same direction with same speed.
- In opposite directions with the same speed.
Correct answer: In opposite directions with speed in the ratio of 1:2 respectively
Solution
The conservation of momentum dictates that the two smaller nuclei must move in opposite directions to conserve the total momentum of the system, and since their masses are in a 2:1 ratio, their speeds must be in a 1:2 ratio to balance the momentum.
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