Consider the following situation for the next two problems. A piece of transparent material with unknown index of refraction is immersed in water (n = 1.333). A ray of light propagating within the material strikes the top surface at an angle of 0; = 580 as shown below and undergoes total internal reflection. This is the smallest incident angle for which total internal reflection can occur. The reflected ray then hits the right side of the material and enters the surrounding water at an angle of Of. Note: Figure not to scale. water 2-15 What is the index of refraction of the transparent material? 5 pis ( + 0.002 ) 2-16 What is the value of of (in degrees)? 5 pis degrees ( + 0.2 degrees)