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Standard XII

Physics

Displacement of COM:Application

Two particles...

Question

Two particles having masses in m and 2m are travelling along x-axis on a smooth surface with velocities $u_{1}$ and $u_{2}$ , collide. If their velocities after collision are $v_{1}$ and $v_{2}$ , then the ratio of velocities of their centre of mass before and after impact is

2 : 1

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2 : 3

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1 : 1

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1 : 2

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Solution

The correct option is C. 1 : 1
As there is no external force on two mass system, the velocity of centre of mass remains same after collision. Thus ratio of velocities before and after collision is 1:1.

Option C is correct.

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and

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respectively. After the collision, the velocities are

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Two particles having masses in m and 2m are travelling along x-axis on a smooth surface with velocities u1 and u2, collide. If their velocities after collision are v1 and v2, then the ratio of velocities of their centre of mass before and after impact is

The correct option is C. 1 : 1As there is no external force on two mass system, the velocity of centre of mass remains same after collision. Thus ratio of velocities before and after collision is 1:1.Option C is correct.

Two particles having masses in m and 2m are travelling along x-axis on a smooth surface with velocities $u_{1}$ and $u_{2}$ , collide. If their velocities after collision are $v_{1}$ and $v_{2}$ , then the ratio of velocities of their centre of mass before and after impact is

The correct option is C. 1 : 1
As there is no external force on two mass system, the velocity of centre of mass remains same after collision. Thus ratio of velocities before and after collision is 1:1.

Option C is correct.