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Three beakers 1, 2 and 3 of different shapes are kept on a horizontal table and filled with water up to a height h. If the pressure at the base of the beakers are P1, P2 and P3 respectively, which one of the following will be the relation connecting the three?

(a) P1 > P2 > P3

(b) P1 < P2 < P3

(c) P1 = P2 = P3

(d) P1 > P2 < P3

I have been asked this question in final exam.

I'd like to ask this question from Pressure Distribution in a Fluid topic in division Pressure and Its Measurement of Fluid Mechanics

1 Answer

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Best answer
The correct option is (c) P1 = P2 = P3

The explanation: The pressure on the surface of the liquid in the beakers is the same. Pressure varies in the downward direction according to the formula P = ρgh, where ρ is the density of the liquid and h is the height of the liquid column from the top.

P1 = ρgh

P2 = ρgh

P3 = ρgh

Since all the beakers contain water up to to the same height, P1 = P2 = P3.

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