Q. A spherical ball of radius $r$ and relative density 0.5 is floating in equilibrium in water with half of it immersed in water. The work done in pushing the ball down so that whole of it is just immersed in water is : (where $\rho$ is the density of water)
A) $\frac{5}{12}\pi r^{4}\ \rho g$
B) $0.5\rho rg$
C) $\frac{4}{3}\pi r^{3}\rho g$
D) $\frac{2}{3}\pi r^{4}\rho g$
Explanation
The correct answer is Option A: $\frac{5}{12}\pi r^{4}\ \rho g$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.