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

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 piston, the pressure in fluid at each point must be increased by ` ( F)/ ( A ) ` so that each piston retains the state of equilibrium.
Thus, the increment in pressure at each point is ` Delta P = (F)/(A)`