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A uniform rod lying on a smooth horizont...

A uniform rod lying on a smooth horizontal surface is of mass 2m and length l. Two point masses of mass m each strike the rod at its end points moving with velocity u perpendicular to the rod in same plane and stick to it. If rod takes `(pi l)/(nu)` time to rotate by an angle of `pi/2` after being hit by point masses, then find the value of n.

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