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longest wavelength of the light transmitted to the diver

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A scientist notices that an oil slick floating on water when viewed from above has many different rainbow colors reflecting off the surface. She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33.

assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength lamda_water of the light in water that is transmitted most easily to the diver?

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It calcualtes the longest wavelength of the light in water that is transmitted most easily to the diver. The solution is detailed and has a '5/5' rating.

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For transmission of light, one beam travels straight through the oil slick and into the water, while the other beam reflects twice (once ...

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