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A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the following basic layers: air, oil (the thin film), and water. When viewed from a direction perpendicular to the pavement, the film reflects red light of 640nm and reflects no green light of 512nm. (a) What are the possible film thicknesses that allow the read light to be reflected? (b) What are the possible film thicknesses if the green light is not reflected? (c) What is the minimum thickness of the oil film if both conditions are satisfied? Hint: compute at least 4 thicknesses in parts (a) and (b)
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