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A thin film of glass ( n=1.50n=1.50 ) floats on a liquid of n=1.35n=1.35 and is illuminated by light of λ=580 nm\lambda=580 \mathrm{~nm} incident from air above it. Find the minimum thickness of the glass, other than zero, that will produce destructive interference in the reflected light.

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In this problem, a thin film of glass float on a liquid. The index of refraction of glass is n1=1.50n_{1} = 1.50, while the index of refraction of the liquis is n2=1.35n_{2} = 1.35. The incident light has wavelength λ=580 nm\lambda = 580~\mathrm{nm}. We calculate the minimum thickness of the glass that produces destructive interference.

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