(a) The free body diagram of the body completely immersed inside the liquid is shown in the image attached.
(b) The condition when the body will float is when its density is less than the density of the liquid. Also it will sink when its density is greater than the density of the liquid.
What are the conditions when the body will float or sink?
According to Archimedes principle, an object will float in a liquid if its density is less than the density of the liquid.
An object will sink in a liquid if its density is greater than the density of the liquid.
Mathematically, Archimedes' principle can be expressed as:
Buoyant Force (Fb) = Weight of Fluid Displaced (W)
The formula for the density of the object immersed in the liquid is given as;
Density = mass / volume