B. Problem Solving : Answer the following on a clean sheet of paper. Identify the given and show your complete solution . Box your final answer .(45 points) 1. Calculate the index of refraction of a medium through which light travels at 1.2412 x 10 :m/s and identify the medium based on the computed index of refraction . (7 points ) 2. What is the critical angle for light passing from a. air (n = 1.0003 ] to ethyl alcohol (n = 1.36 ) (3 points) b. ice (n = 1.31) to glass (n = 1.52) (3 points) 3. An incident ray strikes a glass (n=1.52 ) with an angle of 380 to the surface of the glass a. Illustrate with label angle of incidence, angle of reflected ray and angle of refraction. (4 points b. What is the angle of the reflected ray ? (3 points ) c. What is the angle of the refracted ray ? (3 points ] 4. Light traveling in glass (n = 3/2) is incident on air (n=1). What is the angle of incidence that causes the light to experience total internal reflection ? (5 points ) 5. The figure below shows a slab made of three different materials X, Y and Z having refractive indices n, no, and n, respectively. The slab is immersed in water (n= 1.333) and the light is incident upon its bottom surface water water a. Rank the materials according to the refractive index of the materials , greatest first . (2 points ) b. Rank the materials according to to the speed of light in the material , greatest /fastest first . (2 points ) C. Discuss what would happen to the angle if material X and Y are swapped. (3 points) d. If and . what is the refractive index of material ]? (5 points )