A tank with a square base of area
is divided into two compartments by a vertical partition in the middle. There is a small hinged door of face area
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
Verified by ExpertsC
The situation is as shown in the below figure.

For water compartment,

Pressure exerted by the water at the door at the bottom is

For acid compartment,

Pressure exerted by the acid at the door at the bottom is

Net pressure on the door 

Area of the door 

Force
Pressure
Area
Therefore, to keep the door closed, the force of 40 N must be applied horizontally from the water side.
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