Equal volumes of a liquid are poured in the three vessels A, B and C $(h_{1} < h_{2} < h_{3})$ . All the vessels have the same base area. Select the correct alternatives:

the force on the base will be maximum in vessel A

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the force on the base will be maximum in vessel C

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net force exerted by the liquid in all the three vessels in equal

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net force exerted by the liquid in vessel A is maximum

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Solution

The correct options are
C net force exerted by the liquid in all the three vessels in equal
D the force on the base will be maximum in vessel C
Pressure at the bottom of the vessel= $h ρ g$
Force at the bottom of the vessel= $h ρ g A$
Since both area and height of liquid filled is maximum in vessel C, force on the base is maximum in vessel C.
However the net force exerted by liquid is the reaction pair of the normal reaction of the force vessels exert on liquid to keep it in equilibrium.
Thus they are all equal to the weight of the liquid which is same in all vessels.

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Equal volumes of a liquid are poured in the three vessels A, B and C (h1<h2<h3). All the vessels have the same base area. Select the correct alternatives:

Equal volumes of a liquid are poured in the three vessels A, B and C $(h_{1} < h_{2} < h_{3})$ . All the vessels have the same base area. Select the correct alternatives: