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A thin film of water (index of refraction 1.3) lies between two glass slides (index of...

A thin film of water (index of refraction 1.3) lies between two glass slides (index of refraction 1.5). The water film is 500 nm thick. When you shine light on the film, you detect two colors of visible light that exhibit destructive interference when reflecting from the film. One of the colors that interferes destructively is violet light with wavelength approximately 433 nm in vacuum.

(a) Calculate the wavelength of this violet light in the water film.

(b) Determine the wavelength in vacuum of the second color of visible light that exhibits destructive interference.

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