Q. A rectangular block is $5\ cm\ \times 5cm \times 10cm$ in size. The block is floating in water with 5 cm side vertical. If it floats with 10 cm side vertical, what change will occur in the level of water?

A) No change
B) It will rise
C) It will fall
D) It may rise or fall depending on the density of block
Explanation

(a) From law of floatation, we know that a body will float in a liquid, when its weight W is equal to the weight $w$ of the liquid displaced by the immersed part of the body will be in equilibrium. A body will be in equilibrium only, if the resultant of all the forces and couples acting on the body is zero. If W and w act along different lines, they will from a couple which will tend to rotate the body. Thus, a floating body can be equilibrium, if no couple acts on it. It will be so, if the line of action of W and w is along the same vertical straight line.
Here, in both the situations, as the mass of floating block remains same, hence according to principle of floatation mass of volume of water displaced also remains same. Hence, water level will remain same in both the cases.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.