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, = 58° 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 07. Note: Figure not to scale. water e₁ 0f 2-15 What is the index of refraction of the transparent material? (± 0.002)

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, = 58° 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 07. Note: Figure not to scale. water e₁ 0f 2-15 What is the index of refraction of the transparent material? (± 0.002)