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1. A student is unable to focus on objects closer than 82 cm from their eyes. What power of contact lenses should be used to correct their vision, so they can focus on objects at a distance of 25 cm from their eyes? Are the lenses converging or diverging?
2. A lens is made of glass with an index of refraction of 1.63. A thin film of fluoropolymer (n = 1.30) is deposited on the lens, designed to act as an antireflection coating for use with laser light with a wavelength of 514 nm. Assume the lens is to be used in air, and the light is incident perpendicular to the surface (i.e. normal incidence). What is the minimum thickness of the fluoropolymer film so that reflected laser light is eliminated? Hint: think about interference between rays reflected from the top and bottom of the thin film.
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