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Working with thinfilm interference

A transparent oil of index of refraction 1.29 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.

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To observe a maximum, the waves reflected from the top surface of oil (ie, air-oil interface ) and from the bottom surface (oil-water) must interfere constructively.

To get constructive interference, the ...

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