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Q.

Water is filled up to a height h in a beaker of radius R as shown in the figure. 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 this section by water on the other side of this section has magnitude:

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a

2p0Rh+πR2ρgh-2RT

b

2P0Rh+Rρgh2-2RT

c

P0πR2+Rρgh2-2RT

d

P0πR2+Rρgh2+2RT

answer is B.

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Detailed Solution

F=∫oh(P0+ρgx)2R dx-2RT=2P0Rh+Rρgh2-2RT
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