$A$ cylindrical container is filled with liquid. When the container is rotated about its axis,the liquid rises along its sides. If the radius of the container is $r$ and the angular velocity of the container is $\omega$ rad/s,what will be the difference in the height of the liquid at the center and at the sides?

  • A
    $\frac{r\omega}{2g}$
  • B
    $\frac{r^2\omega^2}{2g}$
  • C
    $\sqrt{2gr\omega}$
  • D
    $\frac{\omega^2}{2gr^2}$

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