a) [2? points) The incident light ray is perpendicular to the left side of the prism (not necessarily drawn to scale}, where the light enters the prism The prism has known index of reection n, a right angle, and unknown angle a} at one vertex as shown. Draw clearly all light rays you use. Simplify all symbolic equations you derive, as usual. a) In terms of only rr, determine the maximum possible value of the angle 0 for which total internal reection occurs at point A. b} Assume gt} has the maximum value you just found. The ray reected inside the prism at point A then travels to the bottom side of the prism and exits at a new point B. {i} Label the approximate location of point B. At point B, in terms of only rr, nd the {ii} angle of incidence and {iii} angle of refraction. Note that sin (9'3" H) = cos I9 . c} Calculate the values of each angle you found if rr. = LEI] (the index of refraction of a type of glass). An swers: a) at: 91]" sin1(1); H l b} {a diagram below, (ii) a,\" =so\" zsin" [] {iii} a13 = sm-1[nms[2sin-1[1]D H H c) e413\