$A$ uniform rod of length $6L$ and mass $8m$ is pivoted at its centre $C$. Two masses $m$ and $2m$ with speeds $2v$ and $v$ respectively,as shown in the figure,strike the rod and stick to it. Initially,the rod is at rest. If it rotates with angular velocity $\omega$ due to the impact,then $\omega$ will be:

  • A
    $\frac{v}{5L}$
  • B
    $\text{Zero}$
  • C
    $\frac{8v}{6L}$
  • D
    $\frac{11v}{3L}$

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