Question

Equal volume of a liquid are poured in the three vessel $A$, $B$ and $C$ $(h_1<h_2<h_3)$ All the vessel have the same base area. Select the correct alternative

• A. The force on the base will be maximum in vessel $A$
• B. The force on the base will be maximum in vessel $C$
• C. Net force exerted by the liquid in all the three vessels is equal
• D. Net force exerted by the liquid in vessel $A$ is maximum

Answer 1

The correct option is C Net force exerted by the liquid in all the three vessels is equal

Height $h_3$ in vessel $C$ being maximum results in maximum force exerted on its base by formula $P=\rho gh\Rightarrow Pressure\times height$

Given $h_3>h_2>h_1$

Also, net force exerted by the liquid is the same in vessels $A,B\&C$ because it is independent of height of vessel but depends on force of gravity $F_g$ and atmospheric pressure $P_{atm}$ both of which remain constant.