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Question

Physics Question on mechanical properties of fluid

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 speed of rotation is ω'\omega'. The difference in height at the center and the sides of the jar is

A

r2ω2g\frac{r^2\omega^2}{g}

B

r2ω22g\frac{r^2\omega^2}{2g}

C

gr2ω2\frac{g}{r^2\omega^2}

D

2gr2ω2\frac{2g}{r^2\omega^2}

Answer

r2ω22g\frac{r^2\omega^2}{2g}

Explanation

Solution

Potential energy = rotational K.E.