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Question

The vessel shown in the figure has two sections of areas of cross-section A1 and A2. A liquid of density p fills both the sections, up to a height h in each .

Neglect atmospheric pressure.

1) The pressure by the liquid on the base of the vessel is 2h pg

2) The force exerted by the liquid on the base of the vessel is 2h pgA2

3) The weight of the liquid is < 2h pgA2

4) The walls of the vessel at the level X exert a downward force hpg (A2−A1) on the liquid


A

1 and 2 are correct

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B

Only one is correct

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C

Only two is correct

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D

All are correct

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Solution

The correct option is D

All are correct


Pressure acts equally in all directions, and a liquid exerts forces on the walls of its container normal to the walls. Hence, the liquid exerting forces on the sloping walls of the conical flask will have a net upward component. Similarly. Similarly, an upward force acts on the walls of the container.


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