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Figure shows water filled in a symmetric...

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

`F/A`

B

`(2F)/A`

C

`(4F)/A`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
A

The four pistons are initially in equilibrium. As additional force `F` is applied to each piston, the pressure in the fluid at each point must be increased by `F.A` so that each piston retains state of equilibrium.
Thus the increment in the presure at each point is
`/_\P=F/A` (by Pascal's law)`
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