Question

The vessel shown in the figure has two sections of areas of cross-section $A_1$ and $A_2$. A liquid of density p fills both the sections, up to a height h in each.

Neglect atmospheric pressure.

1) The pressure by the liquid on the base of the vessel is 2h pg

2) The force exerted by the liquid on the base of the vessel is 2h pg$A_2$

• A. 1 and 2 are correct
• B. Only one is correct
• C. Only two is correct
• D. All are correct

Answer 1

The correct option is A

1 and 2 are correct

Pressure acts equally in all directions, and a liquid exerts forces on the walls of its container normal to the walls.

The pressure at the bottom of the container is same as the pressure of the longest column of the liquid. So, the pressure is $2hpg$

So, the force on the base of the vessel is $2hpg{A}_2$.