Question

A solid weighs 80 gram in air and 64 gram in water. Calculate the relative density of solid.

Answer 1

According to Archimedes principle,
Upthrust = Weight of liquid displaced
Mass of water displaced = 80 - 64 = 16 g

Now, density of water = 1 g/cm³
1 g/cm³ = 16 g / x cm³
Therefore, volume of water displaced =
x = 16 cm³

So, volume of the solid = 16 cm³

Density = Mass/volume = 80/16 = 5 g/cm³

Relative density = Density of solid /Density of water = 5/1 = 5.