Law of Floatation

Consider an object of volume V and density ρs floating in a liquid of density ρl. Let Vi be the volume of object immersed in the liquid. For equilibrium of object--

                 Weight = Upthrust

                 Vρs g = Viρl g

                 Vi / V = ρs / ρl

 This is the fraction of volume immersed in liquid.

Percentage of volume immersed in liquid----------------

  (Vi/V)100 = (ρs / ρl)100

Three possibilities are now arise----

a) If ρs < ρl, only fraction of object will be immersed in the liquid. This fraction can be calculated by the above equation.

b) If ρs = ρl, the whole of the rigid body will be immersed in the liquid. Hence , the body remains floating in the liquid wherever it is left.

c) If ρs > ρl, the body will sink.

                                                        https://youtu.be/O3D2belxKBs