Question

Three beakers are filled to the same height with three different fluids. The first beaker is filled with water (ρ = 1000 kg/m³), the second beaker is filled with glycerin (ρ = 1260 kg/m³), and the third beaker is filled with benzene (ρ = 879 kg/m³). Rank the pressures at the bottom of each beaker from least to greatest.

Answer 1

here we have that three beakers are filled to the same height but here three different fluids,

first beaker is filled with water (ρ = 1000 kg/m3),

second beaker is filled with glycerin (ρ = 1260 kg/m3)

the third beaker is filled with benzene (ρ = 879 kg/m3)

for the rank the pressures at the bottom of each beaker from least to greatest we have to go for the formula of pressure

so pressure P = g H

Here height is same for all the liquids and g is constant so that pressure of diffrent fluids is directly proportional to their density so that as here we can see that density of glycerin is highest and benzene has lowest density so that their rank would be as,

benzene (ρ = 879 kg/m3) < water (ρ = 1000 kg/m3) < glycerin (ρ = 1260 kg/m3)