( 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 .