An anti-glaring uniform thin film of magnesium fluoride
(MgF2, index of refraction 1.38) covers a crown glass
case of refractive index 1.52. This film has a thickness such that
it cancels normally incident light of wavelength 525 nm that
strikes the film surface from air. The film is thicker than the
minimum thickness to achieve this cancellation.
Over time, the MgF2 film wears away at a rate of 2.10 nm
per year. What is the minimum number of years before the reflected
light of this wavelength is now enhanced instead of canceled?
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