Consult Interactive Solution 27.18 to review a model for solving this problem. A

Question

Consult Interactive Solution 27.18 to review a model for solving this problem. A film of oil lies on wet pavement. The refractive index of the oil exceeds that of the water. The film has the minimum nonzero thickness such that it appears dark due to destructive interference when viewed in visible light with wavelength 666 nm in vacuum. Assuming that the visible spectrum extends from 380 to 750 nm, what is the longest visible wavelength (in vacuum) for which the film will appear bright due to constructive interference?

Explanation / Answer

2 d = (wavelength)/2 = (666/1.33)/2 = 250.38 nm

2d = n (lamda/1.33)

333 = n lamda/1.33

442.89 = n lamda

==> lamda = 443 nm

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