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A uniform rod of length 6a and mass 8m l...

A uniform rod of length 6a and mass 8m lies on a smooth horizontal table. Two particle of masses m and 2m , moving in the same horizontal plane but in opposite directions with speeds 2v and v respectively strike and rod normally as shown in figure and stick to the rod. Denoting angular velocity ( about the centre of mass), total energy and transnational velocity of centre of mass by `omega`, E and `v_(c)` respectively after the collision.

A

`v_(c)=0`

B

`(3mv^(2))/(5)`

C

`omega=(v)/(5a)`

D

All of these

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The correct Answer is:
D
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