$A$ thin rod of length $L$ is placed vertically on a frictionless horizontal floor and released with a negligible push to allow it to fall. At any moment, the rod makes an angle $\theta$ with the vertical. If the center of mass has acceleration $= A$, and the rod an angular acceleration $= \alpha$ at initial moment, then

  • A

    $A= (L\alpha ).sin\theta$

  • B

    $A/2 = (L\alpha ).sin\theta$

  • C

    $2A = (L\alpha ).sin\theta$

  • D

    $A = L\alpha$

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