A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is $r$ and angular velocity of rotation is $\omega $ , then the difference in the heights of the liquid at the centre of the vessel and the edge is
A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is $r$ and angular velocity of rotation is $\omega $ , then the difference in the heights of the liquid at the centre of the vessel and the edge is
- A
$\frac{{{r^2}{\omega ^2}}}{{2g}}$
- B
$\frac{{{\omega ^2}}}{{2g{r^2}}}$
- C
$\sqrt {2gr\omega } $
- D
none of these
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