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Q.

A liquid is kept in a cylindrical vessel which is rotated along its axis. The liquid rises at the side. If the radius of the vessel is 5 cm and the speed of rotation is 4 rev/s, then the difference in the height of the liquid at the centre of the vessel and its sides is

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a

16 cm

b

2 cm

c

40 cm

d

4 cm

answer is A.

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Detailed Solution

Given R = 5 cm, w = 2p (4) rad/s. Using y=ω2x22gthe required level difference is y. When x = R, y=(8π)2(5×10−2)2×9.8=16 cm.

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