A uniform rod AB of length $L$ and mass $M$ is lying on a smooth table. A small particle of mass $m$ strike the rod with a velocity $v_{0}$ at point C a distance x from the centre O. The particle comes to rest after collision. The value of $x$ , so that point A of the rod remains stationary just after the collision, is:

L / 3

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L / 6

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L / 4

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L / 12

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Solution

The correct option is B $L / 6$
Option B

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