Working on your car you spill oil (index of refraction = 1.55) on the ground into a puddle of water (n = 1.33). You notice a rainbow pattern appear across the oil slick. Recalling the lessons you learned in physics class, you realize you can calculate where constructive and destructive interference occurs based on the thickness of the oil slick. (Assume that the average wavelength is 592 nm.) air *oil d. water (a) What are the first three thicknesses necessary for constructive interference? nm 592 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film constructive interference? What integer value is needed? nm 572.903 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film constructive interference? What integer value is needed? nm (b) What are the first three thicknesses necessary for destructive interference? 572.903 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm 95.48 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm 477.42 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm Additional Materials

Working on your car you spill oil (index of refraction = 1.55) on the ground into a puddle of water (n = 1.33). You notice a rainbow pattern appear across the oil slick. Recalling the lessons you learned in physics class, you realize you can calculate where constructive and destructive interference occurs based on the thickness of the oil slick. (Assume that the average wavelength is 592 nm.) air *oil d. water (a) What are the first three thicknesses necessary for constructive interference? nm 592 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film constructive interference? What integer value is needed? nm 572.903 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film constructive interference? What integer value is needed? nm (b) What are the first three thicknesses necessary for destructive interference? 572.903 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm 95.48 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm 477.42 How many phase shifts occur? Given the number of phase shifts, what is the relationship between thickness and wavelength that describes thin film destructive interference? What integer value is needed? nm Additional Materials