A ball is kept at a height h above the surface of a heavy transparent sphere made of a material of refractive index The radius of the sphere is R. At 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 `tlt sqrt((2h)/g)`. Consider only the image by a single refraction.

Options

A. `(mu R^2 "gt")/([(mu-1)(h - 1/2 "gt"^2) - R]^2 )`
B. `[ (muR^2 "gt")/((mu - 1)(h - 1/2 "gt"^2) ) ]`
C. `(muR^2 "gt")/((mu-1( h - 1/2 "gt"^2 ) - R)`
D. `(mu R^2 "gt")/(mu(h-1/2 "gt"^2))`

Answer

A