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In the figure shown, water is filled in ...

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

`(F)/(A)`

B

`(2F)/(A)`

C

`(4F)/(A)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
A
The four piston are initially in equilibrium. As additional force `F` is applied to each pistion, the pressure in fluid at each point must be increased by `(F)/(A)` so that each piston retains state of equilibrium.

Thus the increment in pressure at each point is `DeltaP = (F)/(A)`(by Pascal's law)
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