Anna is shining light from a flashlight into a pool at an angle, as shown, looking for their watch. The pool has a depth D = 3 m, and the light hits the water a distance z = 1.2 m from the ledge. Anna's friend Pete is also in the pool. The indices of refraction for the pool water and the air are neater = 1.33 and nair = 1. nal or water X y (a) If Anna is shining the light just perfectly so that all the light reflected off the surface is polarized, how far above the surface of the water are they holding the flashlight? Hint: At what angle is the light hitting the water for this to happen?] (b) Pete notices that the reflected light is polarized because his sunglasses are blocking all of the glare. Since he thinks polarizers are really cool, he rotates his sunglasses to see that he can find an angle where all the reflected ray is allowed through the polarizers. How much further (to what angle) should he rotate his sunglasses so that he sees exactly half the intensity of the reflected ray? (c) Anna notices that their flashlight is illuminating their lost watch at the bottom of the pool. How far away from the pool's edge is it? (What is a + y in the diagram?) (d) If the watch is also giving off light, there is the possibility for total internal reflection of its light rays at the water-air boundary. How far horizontally from the watch would Pete have to swim to be unable to see it from above the surface of the pool? (e) Technically, the index of refraction for water varies by the incoming light's wavelength. For red light ( A = 700 nm), the index of refraction for water is n, = 1.331, and for violet light (1 = 400 nm), the index of refraction is n, = 1.339. For light that hits the surface of the water at an angle 8 = 40 (with respect to the normal), what is the angular separation of red and violet light as refracted in the water