ch35-p054 - 54. For constructive interference (which is...

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54. For constructive interference (which is obtained for λ = 600 nm) in this circumstance, we require 2 22 n kk L n λ == where k = some positive odd integer and n is the index of refraction of the thin film. Rearranging and plugging in L = 272.7 nm and the wavelength value, this gives (600 nm) 0.55 4 4(272.7 nm) 1.818 k nk L = = . Since we expect n > 1, then k = 1 is ruled out. However, k = 3 seems reasonable, since it leads to n = 1.65, which is close to the “typical” values found in Table 34-1.
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