A piece of cork floats in a liquid. What fraction of its volume will be immersed in the liquid? [Density of the cork = 0.25 x 103kgm-3, Density of the liqui...
A piece of cork floats in a liquid. What fraction of its volume will be immersed in the liquid? [Density of the cork = 0.25 x 103kgm-3, Density of the liquid = 1.25 x 103kgm-3]
Answer Details
The fraction of the volume of the cork that will be immersed in the liquid is 0.2.
This can be determined by using the concept of buoyancy. Buoyancy is the upward force exerted on an object submerged in a fluid, and it is equal to the weight of the fluid displaced by the object. If the upward force of buoyancy is greater than the downward force of gravity acting on the object, then the object will float.
The volume of the cork that is immersed in the liquid is equal to the volume of the fluid displaced by the cork. The density of the fluid is greater than the density of the cork, so the volume of the fluid displaced is less than the volume of the cork. Therefore, only a fraction of the cork's volume will be immersed in the liquid, and that fraction is 0.2.