Fluid MechanicsHard

Question

In the figure shown water is filled in a symmetrical container. Four pistons of equal area A are used at the four opening 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

Solution

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 state of equilibrium.

Thus the increment in pressure at each point is  ᐃP = F/A (by Pascal′s law)

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