A light semi cylindrical gate of radius $R$ is piovted at its mid point $O$, of the diameter as shown in the figure holding liquid of density $\rho $. The force $F$ required to prevent the rotation of the gate is equal to
A light semi cylindrical gate of radius $R$ is piovted at its mid point $O$, of the diameter as shown in the figure holding liquid of density $\rho $. The force $F$ required to prevent the rotation of the gate is equal to
- A
$2\ \pi R^3 \rho g$
- B
$2\ \rho gR^3 l$
- C
$\frac{{2{R^2}{\rm{l}}\rho g}}{3}$
- D
none of these
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