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Collision of two rigid bodies - class-XI

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Multiple Choice

A uniform rod AB of mass $3m$ and length $2l$ is lying at rest on a smooth horizontal table with a smooth vertical axis through the end $A$ . A particle of mass $2m$ moves with speed $2u$ across the table and strikes the rod at its mid point $C$. If the impact is perfectly elastic , then find the speed of the particle after impact if it strikes the rod normally 

  1. $\dfrac{7u}{3}$
  2. $\dfrac{2u}{3}$
  3. $\dfrac{u}{3}$
  4. $\dfrac{4u}{3}$
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