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Q.

A liquid is kept in a cylindrical jar, which is rotated about the cylindrical axis. The liquid rises at its sides. The radius of the jar is ‘r’, and speedof rotation is ‘ω’. The difference in height at the centre and the sides of the jar is

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a

r2ω2g

b

r2ω22g

c

gr2ω2

d

2gr2ω2

answer is B.

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Detailed Solution

Difference in potential energy  =  Rotational Kinetic energy ∴mgh1−h2=12Iw2
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A liquid is kept in a cylindrical jar, which is rotated about the cylindrical axis. The liquid rises at its sides. The radius of the jar is ‘r’, and speedof rotation is ‘ω’. The difference in height at the centre and the sides of the jar is