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Question

Water is filled up to a height h in a beaker of radius R. The density of water is ρ, the surface tension of water is T and the atmospheric pressure is P0. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of the section by water on the other side of this section has magnitude:


A

2P0Rh+πR2ρgh2RT

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B

2P0Rh+Rρgh22RT

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C

P0πR2+Rρgh22RT

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D

P0πR2+Rρgh2+2RT

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Solution

The correct option is B

2P0Rh+Rρgh22RT



Force, F=h0(P0+ρgx)2Rdx2TR=2P0Rh+Rρgh22TR


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