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A long cylindrical vessel is half filled...

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be:

A

`2.0`

B

`0.4`

C

`1.2`

D

`0.1`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that `h = (omega^(2)R^(2))/(2g)`
Here, `w = 2rps = 2 xx 2 pi rad//s = 4pi rad//s`
R = 5 cm = 0.05 m
`h = ((4pi xx 0.05)^(2))/(2 xx 9.81) = 0.02 m = 2cm`
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