( b) IfW < w, then body will float partially submerged in the liquid.
( c) If W = w, then body will float in liquid if its whole volume is just immersed in the liquid,
The floating body will be in stable equilibrium if meta-centre( centre of buoyancy) lies vertically above the centre of gravity of the body.
The floating body will be in unstable equilibrium if meta-centre( centre of buoyancy) lies vertically below the centre of gravity of the body.
The floating body will be in neutral equilibrium if meta-centre( centre of buoyancy) coincides with the centre of gravity of the body.
Density and Relative Density Density of a substance is defined as the ratio of its mass to its volume. Density of a liquid = Mass / Volume Density of water = 1 g / cm 3 or l0 3 kg / m 3 It is scalar quantity and its dimensional formula is [ ML-3 ].
Relative density of a substance is defined as the ratio of its density to the density of water at 4 ° C,
Relative density = Density of substance / Density of water at 4 ° C = Weight of substance in air / Loss of weight in water Relative density also known as specific gravity has no unit, no dimensions. For a solid body, density of body = density of substance While for a hollow body, density of body is lesser than that of Substance.
When immiscible liquids of different densities are poured in a container, the liquid of highest density will be at the bottom while, that of lowest density at the top and interfaces will be plane.