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Engineers are testing a new thin-film coating whose index of refraction is less than that of...

Engineers are testing a new thin-film coating whose index of refraction is less than that of glass. They deposit a 420-nm-thick layer on glass, then shine lasers on it. A red laser with a wavelength of 640 nm has no reflection at all, but a violet laser with a wavelength of 400 nm has a maximum reflection. How the coating behaves at other wavelengths is unknown.

What is the coating's index of refraction?

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