Question

In the figure shown water is filled in a symmetrical container. Four pistons of equal area $A$ are used at the four openings to keep the water in equilibrium. Now an additional force $F$ is applied at each piston. The increase in the pressure at the centre of the container due to this addition is

• A. $\frac{F}{A}$
• B. $\frac{2F}{A}$
• C. $\frac{4F}{A}$
• D. 0

Answer 1

Answer: (A)

From Pascal's law, if pressure is increased at one point then it gets increased at all points in the entire liquid by the same amount. Therefore if an additional force $F$ is applied at each piston, then pressure at each point and therefore also at the centre of the container increases by the same amount of $\frac{F}{A}$ .