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A rod AB of length 2L and mass m is lyin...

A rod `AB` of length `2L` and mass `m` is lying on a horizontal frictionless surface. A particle of same mass `m` travelling along the surface hits the rod at distance `(L)/(2)` from `COM` with a velocity `v_(0)` in a direction perpendicular to rod and sticks to it.

Distance of point `P` on rod from `B` which is at rest immediately afte collision is

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The correct Answer is:
`(sqrt(3)v)/(2)`
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