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A ball is kept at a height h above the s...

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.

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`(mu R^(2) g t)/([(h-(1)/(2)g t^(2))(mu-1)-R]^(2))`
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