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  4. 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 <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-6lorulzfpjnu.png />

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Q. 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

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NTA AbhyasNTA Abhyas 2020

Solution:

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 $\frac{F}{A}$ .