Question

Figure shows water 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

The correct option is A $\frac{F}{A}$

According to Pascal's law, any force applied to a confined fluid is transmitted uniformly in all directions throughout the fluid regardless of the shape of the container.
If the additional force $F$ is applied at all opening then the change in pressure will be $\Delta p=\frac{F}{A}$