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A cuboidal beaker is half filled with water. By what percent will the hydrostatic force on one of the vertical sides of the beaker increase if it is completely filled?

(a) 100

(b) 200

(c) 300

(d) 400

I have been asked this question in unit test.

Query is from Hydrostatic Force on Plane Area in chapter Hydrostatic Forces on Surfaces of Fluid Mechanics

1 Answer

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Best answer
The correct option is (c) 300

Easy explanation: Hydrostatic force per unit width on a vertical side of a beaker = ^1 ⁄ 2 * ρgh^2, where ρ = density of the liquid and h= height of liquid column. The hydrostatic force when the beaker is completely filled = ^1 ⁄ 2 ρg(2h)^2 = 2ρgh^2.

Thus, percentage increase in hydrostatic force =    = 300%.

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