A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is $5\, cm$ and the angular speed of rotation is  $\omega\; rad \,s^{-1}$. The difference in the height, $h($ in $cm )$ of liquid at the centre of vessel and at the side will be

981-38

  • [JEE MAIN 2020]
  • A

    $\frac{25 \omega^{2}}{2 g}$

  • B

    $\frac{2 \omega^{2}}{5 g}$

  • C

    $\frac{5 \omega^{2}}{2 g}$

  • D

    $\frac{2 \omega^{2}}{25 g}$

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