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

Options

A. `(F)/(A)`
B. `(2F)/(A)`
C. `(4F)/(A)`
D. `0`

Answer

A

Explanation

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)