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 $\omega $ rad sâ€“1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be :

Question

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 $\omega $ rad s^â€“1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be :

${{2{\omega ^2}} \over {25g}}$

${{5{\omega ^2}} \over {2g}}$

${{25{\omega ^2}} \over {2g}}$

${{2{\omega ^2}} \over {5g}}$

Solution

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