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Mechanical Properties Of Fluids

Question

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An ice-cube of density 900 kg /m³ is floating in water of density 1000 kg / m³. The percentage of volume of ice-cube outside the water is

20%

35%

10%

25%

Solution

C.

10%

Density is quantity of mass per unit volume.

$ρ = \frac{m}{V}$

A liquid is largely incompressible and its density is nearly constant at all pressures The percentage of the volume of ice cube outside the water

$= \frac{ρ_{water} - ρ_{ice}}{ρ_{water}} \times 100 = \frac{1000 - 900}{1000} \times 100 = 10 %$

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