On a rainy day, when the pavement is covered by water, a thin film of oil has gathered on top of the water. The oil layer (n = 1.25) is sandwiched between air (n = 1) on top and water (n = 1.333) below. a) When viewed at normal incidence (perpendicular to the surface), the film of oil reflects most strongly red light with a wavelength of 640 nm. Calculate three possible values for the thickness of the film. b) When viewed at normal incidence, the same film of oil does not reflect any green light with a wavelength of 512 nm. Calculate the exact thickness of the film.

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On a rainy day, when the pavement is covered by water, a thin film of oil has gathered on
top of the water. The oil layer (n = 1.25) is sandwiched between air (n = 1) on top and
water (n = 1.333) below. a) When viewed at normal incidence (perpendicular to the
surface), the film of oil reflects most strongly red light with a wavelength of 640 nm.
Calculate three possible values for the thickness of the film. b) When viewed at normal
incidence, the same film of oil does not reflect any green light with a wavelength of
512 nm. Calculate the exact thickness of the film.
Transcribed Image Text:On a rainy day, when the pavement is covered by water, a thin film of oil has gathered on top of the water. The oil layer (n = 1.25) is sandwiched between air (n = 1) on top and water (n = 1.333) below. a) When viewed at normal incidence (perpendicular to the surface), the film of oil reflects most strongly red light with a wavelength of 640 nm. Calculate three possible values for the thickness of the film. b) When viewed at normal incidence, the same film of oil does not reflect any green light with a wavelength of 512 nm. Calculate the exact thickness of the film.
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