A light source lies at the bottom of a pool of water. It emits a beam of light that strikes the interface between the water and an unknown medium at 45 degree. The index of refraction of water is n = Take the point where the light beam strikes the interface to be the origin of the x-y coordinate system. The marked grid unit is 1.0 so the source is located at x = -2 m, y = -2m.

a. If the refracted ray passes through A, what is the index of refraction of the top medium?
b. If the refracted beam passes through A, how much time does it take light to get from the source to point A?
c. If instead, the refracted ray passes through B, what is the index of refraction of the top medium?
d. If the refracted beam passes through B, how much time does it take light to get from the source to point B?
e. What would the index of refraction of the unknown medium have to be for all the light to be totally internally reflected so it passed through point C? Is this possible? Justify our answer.