A tank with a square base of area 2 
is divided into two compartments by a vertical partition in the middle. There is a small hinged door of face area 20 
at the bottom of the partition. Water is filled in one compartment and an acid of relative density 1.5 in the other, both to a height of 4 m. The force necessary to keep the door closed is (Take 
)
Text Solution
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The situation is as shown in the figure
For compartment containing water,
Pressure exerted by the water at the door at the bottom is
For compartment containing acid
Pressure exerted by the acid at the door at the bottom is
Net pressure on the door 
)
Area of the door
Thus to keep the door closed the force of 40 N must be applied horizontally from the water side.
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