1990B6. A beam of light from a light source on the bottom of a swimming pool 3.0 meters deep strikes the surface of the water 2.0 meters to the left of the light source, as shown above. The index of refraction of the water in the pool is 1.33 .
a. What angle does the reflected ray make with the normal to the surface?
b. What angle does the emerging ray make with the normal to the surface?
c. What is the minimum depth of water for which the light that strikes the surface of the water 2.0 meters to the left of the light source will be refracted into the air?
Water n=1.33
In one section of the pool, there is a thin film of oil on the surface of the water. The thickness of the film is 1.0×10−7 meter and the index of refraction of the oil is 1.5 . The light source is now held in the air and illuminates the film at normal incidence, as shown above.
d. At which of the interfaces (air-oil and oil-water), if either, does the light undergo a 180∘ phase change upon reflection?
e. For what wavelengths in the visible spectrum will the intensity be a maximum in the reflected beam?