A uniform layer of water (n 5 1.33) lies on a glass plate

Chapter , Problem 22

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A uniform layer of water (n 5 1.33) lies on a glass plate (n 5 1.52). Light shines perpendicularly on the layer. Because of constructive interference, the layer looks maximally bright when the wavelength of the light is 432 nm in vacuum and also when it is 648 nm in vacuum. (a) Obtain the minimum thickness of the fi lm. (b) Assuming that the fi lm has the minimum thickness and that the visible spectrum extends from 380 to 750 nm, determine the visible wavelength(s) in vacuum for which the fi lm appears completely dark.

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