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longest wavelength of the light transmitted to the diver

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?

Solution Preview

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

Solution Summary

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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