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 ω rad s–1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be

(a) \(\frac{2\omega^2}{25g}\)
(b) \(\frac{5\omega^2}{2g}\)
(c) \(\frac{2\omega^2}{5g}\)
(d) \(\frac{25\omega^2}{5g}\)