Question
Question: According to the principle of floatation: A. The weight of the floating body is equal to the weigh...
According to the principle of floatation:
A. The weight of the floating body is equal to the weight of the liquid displaced by its submerged part.
B. The weight of the floating body is greater than the weight of the liquid displaced by its submerged part.
C. The weight of the floating body is smaller than the weight of the liquid displaced by its submerged part.
D. All
Solution
To answer the following question, it is important to get clarified on a couple of terms:
First being , floatation could be defined as the action of floating in a liquid or gas i.e. when an object is seen being carried on the surface of water , it could be said that the object is floating.
And secondly, the force of buoyancy which is, basically, an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object -
Complete step by step answer:
According to the Principle of Floatation, a body floats in a liquid if the weight of the body is equal to the weight of the liquid displaced by it but the floating of a body occurs if and only if the density of the body is less than or equal to the density of fluid.
It could be further explained as, when a solid body is dipped into a fluid, the fluid exerts an upward force of buoyancy on the solid and if the force of buoyancy equals to the weight of the solid, it will remain in the state of equilibrium, thus leading to the state of floatation.
Thus, the correct option would be (A) the weight of the floating body is equal to the weight of the liquid displaced by its submerged part.
Note:
It is advised to keep in mind that the principle of floatation is nothing but simply an application of Archimedes' principle as Archimedes made the first hypothesis about the relativity of displacement and density of the matter immersed and verified it before making it a principle.