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A long cylinderical vessel is half fille...

A long cylinderical 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 rotatins per second, then the difference in the heights between the centre and the sides, in cm. will be :

Text Solution

Verified by Experts

Using `v^(2)=u^(2)+2gh" " [:.u=0"at"(0,0)]`
`v^(2)=2gy" "[:.v=omegax]`
`impliesy=(omega^(2)x^(2))/(2g)=((2xx2pi)^(2)xx(0.05)^(2))/20=2cm`
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