A thin film of oil with an index of refraction n = 1.5 and thickness t = 55 nm floats on water. The oil is illuminated from above, perpendicular to the surface.
Part A: What is the longest wavelength of light, in nanometers, that will undergo destructive interference when it is shone on the oil?
Part B: What is the next longest wavelength of light, in nanometers, that will undergo destructive interference when it is shone on the oil?
Part C: What is the longest wavelength of light, in nanometers, that will undergo constructive interference when it is shone on the oil?