Given below are two statements:
Statement (I) : A body floats in a liquid if the density of the material of the body is less than or equal to the density of the liquid.
Statement (II) : The centre of gravity of the liquid displaced by a body is called the centre of buoyancy.
In the light of the above statements, choose the most appropriate answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Both Statement I and Statement II are true
A body in a liquid feels an upward push, the buoyant force, equal to the weight of the liquid it displaces (Archimedes’ principle).
Statement (I): A body floats in a liquid if the density of the material of the body is less than or equal to the density of the liquid. Correct. If the body is less dense, the buoyant force on it when fully under the liquid is more than its weight, so it rises and floats partly above the surface. If the densities are equal, the buoyant force just balances the weight and the body stays afloat fully inside the liquid. Only a denser body sinks.
Statement (II): The centre of gravity of the liquid displaced by a body is called the centre of buoyancy. Correct. The buoyant force acts through the centre of gravity of the displaced liquid, and this point is called the centre of buoyancy.