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 the 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 center of vessel and at the side will be:
Option: 1 \frac{2\omega ^{2}}{25g}
 
Option: 2 \frac{5\omega ^{2}}{2g}
Option: 3 \frac{25\omega ^{2}}{2g}  
Option: 4 \frac{2\omega ^{2}}{5g}

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