A large vessel of height $H$, is filled with a liquid of density $\rho$, upto the brim. A small hole of radius $r$ is made at the side vertical face, close to the base. The horizontal force is required to stop the gushing of liquid is ...........
A$\rho g H \pi r^2$
B$\rho g H$
C$\rho g H \pi r$
D$\rho g \pi r^2$
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A$\rho g H \pi r^2$
a (a)
Pressure close to the base $=\rho g H$
Force required $=$ pressure $\times$ area of hole $=\rho g H\left(\pi r^2\right)$
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