A thin film of oil (n = 1.30) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at548 nm.(a) What is the minimum thickness of the oil film?nm(b) Let m₁ correspond to the order of the constructive interference and m₂ to the order of destructive interference. Obtain a relationship between m₁ and m₂ that is consistent with the given data.

Solution Given dataOil Refractive index n=1.30Red light wavelength λ1=640nm=640×10−9mReflect no…

film of oil (n = 1.30) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at m. (a) What is the minimum thickness of the oil film? nm (b) Let m₁ correspond to the order of the constructive interference and m₂ to the order of destructive interference. Obtain a relationship between m₁ and m₂ that is consistent with the given data.

film of oil (n = 1.30) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at m. (a) What is the minimum thickness of the oil film? nm (b) Let m₁ correspond to the order of the constructive interference and m₂ to the order of destructive interference. Obtain a relationship between m₁ and m₂ that is consistent with the given data.