Question:
A ball is kept at a height $h$ above the surface of a heavy transparent sphere made of a material of refractive index $\mu$. The radius of the sphere is $\mathrm{R}$. At $\mathrm{t}=0$, the ball is dropped to fall normally on the sphere.
Find the speed of the image formed as a function of time for $t<\sqrt{\frac{2 h}{g}}$. Consider only the image by a single refraction.
Solution:
