$A$ cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The diameter of the vessel is $10 \, cm$ and the angular speed of rotation is $\omega \, rad \, s^{-1}$. The difference in the height,$h$ (in $cm$),of the liquid at the centre of the vessel and at the side will be

• A
  $\frac{25 \omega^{2}}{2 g}$
• B
  $\frac{2 \omega^{2}}{5 g}$
• C
  $\frac{5 \omega^{2}}{2 g}$
• D
  $\frac{2 \omega^{2}}{25 g}$