Question

According to the law of floatation weight of floating body is-
A. Equal to the weight of liquid displaced
B. Equal to the volume of liquid displaced
C. is greater than the weight of liquid displaced
D. is less than the weight of liquid displaced

Answer 1

Hint: Recall the floatation law of the floating objects in any fluid. This law is useful to determine the weight of the object floating on any fluid.

Complete answer:
The principle of floatation states that the weight of the floating body is equal to the weight of the liquid displaced by the floating body. Therefore, the weight of the floating body is not equal to volume of liquid displacement and greater or less than the weight of the liquid displaced.Hence, the options B, C and D are incorrect.

The principle of floatation states that the weight of the floating body is equal to the weight of the liquid displaced by the floating body.Therefore, according to the law of floatation, the weight of the floating body is equal to the weight of the liquid displaced by the floating body.

Hence, the correct option is A.

Additional information:
The terms floatation can be defined as the ability of the body to be stable at the upper surface of any liquid.According to the law of floatation, a body of mass 5 kg displaces the mass of 5 kg in any liquid.
There are certain conditions only under which the body in the liquid floats.
1. The density of the material of the body in the liquid must be less than or equal to the density of the liquid. If the density of the body is equal to the liquid density then the body floats but in fully submerged condition and if it is less then it perfectly floats on the top surface of liquid.
2. The centre of gravity of the body and the liquid should be in the same vertical line.
3. The total weight of the body must be equal to the upthrust force of the liquid on the body.The law of floatation can be stated in a number of different ways.

Note:One can also use Archimedes’ principle to prove the floatation law provided the conditions for the buoyant force or the upward force acting on the body in the liquid and the weight of the body should be used carefully.