A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move

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Q.
A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move [2024]

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 the same speed.

4 in opposite directions with the same speed.

Ans.
(1)

From conservation of momentum

$P_{i} = P_{f}$

$0 = m v_{1} - 2 m v_{2}$

$\frac{v_{1}}{v_{2}} = \frac{2}{1},$ move in opposite direction with speed ratio 1 : 2.

Solution

Q.
A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move [2024]

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 the same speed.

4 in opposite directions with the same speed.

Ans.
(1)

From conservation of momentum

$P_{i} = P_{f}$

$0 = m v_{1} - 2 m v_{2}$

$\frac{v_{1}}{v_{2}} = \frac{2}{1},$ move in opposite direction with speed ratio 1 : 2.

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Solution

Q. A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move [2024]

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 the same speed.

4 in opposite directions with the same speed.

Ans. (1) From conservation of momentum Pi=Pf 0=mv1-2mv2 v1v2=21, move in opposite direction with speed ratio 1 : 2.

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Q.
A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move [2024]

Ans.
(1)

From conservation of momentum

$P_{i} = P_{f}$

$0 = m v_{1} - 2 m v_{2}$

$\frac{v_{1}}{v_{2}} = \frac{2}{1},$ move in opposite direction with speed ratio 1 : 2.