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Titanium dioxide (TiO2), with an index of refraction of 2.50, is one compound that is often used as a lens coating. A layer of TiO2 is to be applied to a glass lens with index of refraction 1.65. The coating is designed to strongly reflect light at 315 nm (in the UV range) and strongly transmit light at 552 nm (in the middle of the visible range). Find the smallest thickness of TiO2 that will meet these requirements.

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