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Pascal's Law

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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}

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B

\frac{2 F}{A}

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C

\frac{4 F}{A}

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D

0

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Solution

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 $Δ p = \frac{F}{A}$

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