Question

A boat having stones floats in water. If stones are unloaded in water, what will happen to the level of water?

Answer 1

Hint:Use the concept of Archimedes’ principle. This Archimedes’ principle gives the relation between the weight of the boat, the weight of the water displaced by the boat and hence the change in the level of the water around the boat if the stones are unloaded from the boat.

Complete step by step answer:
According to Archimedes’ principle, the weight of the fluid displaced by the object floating or immersed in the fluid is equal to the total weight of the floating or immersed object.Apply the same Archimedes’ principle to the boat having stones in it floating in the water.Initially, the boat with the stones is floating in the water. The weight of the liquid displaced by the boat with stones is equal to the total weight of the boat with the stones.Hence, the volume of the water level raised due to boat with the stones is equal weight of the boat with the stones.If the stones are unloaded from the boat, the weight of the boat will decrease.
Therefore, the volume of the water displaced by the boat will also decrease.Due to this, the volume of the boat immersed in the water decreases.
Hence, the level of the water around the boat will decrease.

Note: The object floats on the fluid only if the weight of the fluid displaced is equal to the weight of the object. The object in the fluid will sink if the weight of the fluid displaced by the object is not equal to the weight of the object.