A thin film having an index of refraction of 1.50 is surrounded by air. It is illuminated normally by white light. Analysis of the reflected light shows that the wavelengths 360, 450, and 602 are the only missing wavelengths in or near the visible portion of the spectrum. That is, for those wavelengths, there is destructive interference. What is the thickness of the film? (Give your answer in nm.)

A thin film of soap with n = 1.33 hanging in the air reflects dominantly red light with ) = 653 nm. What is the minimum thickness of the film? Now this film is on a sheet of glass, with n = 1.46. What is the wavelength of the light in air that will now be predominantly reflected? (2 parts)

The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 467 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference? Number Units

What visible wave length will be reflected in this scenario: A 700 nm thick soap film floats on a plate. From the air, white light is struck onto the film at a normal incidence. the wavelength of visible light to air is 400 nm to 700 nm. The index of the soap film is 1.74 and 1.58 for the plate.