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In the figure shown, water is filled in a symmetrical container. Four pistons of equal area A are used at the four opening 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

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$\frac{4 F}{A}$

$\frac{F}{A}$

$\frac{2 F}{A}$

answer is A.

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Detailed Solution

The four pistons are initially in equilibrium. As additional force F is applied to each piston, the pressure in fluid at each point must be increased by $\frac{F}{A}$ so that each piston retains state of equilibrium.

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