A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is $5\,cm$ and its rotational speed is $2$ rotations per second, then the difference in the heights between the centre and the sides, in $cm,$ will be

  • [JEE MAIN 2019]
  • A

    $2.0$

  • B

    $0.1$

  • C

    $0.4$

  • D

    $1.2$

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