NYC Works 22 Q NYC Wor mt fringe ually ally use of A.) 06-Wave Optics A PROBLE fter า out nd 9. nt Question 1: A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surface, making it look rainbow-like (an effect known as iridescence). She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33. a) The index of refraction of the oil is 1.20. What is the minimum thickness t of the oil slick at that spot? b) Suppose the oil had an index of refraction of 1.50. What would the minimum thickness t be now? c) Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectrometer. What is the longest wavelength Awater of the light in water that is transmitted most easily to the diver? Question 2: A very thin oil film (n=1.25) floats on water (n=1.33). What is the thinnest film that produces a strong reflection for visible light with a wavelength of 600 nm? Question 3: A sheet of glass is coated with a 501-nm-thick layer of oil (n = 1.42). For what visible wavelengths of light do the reflected

NYC Works 22 Q NYC Wor mt fringe ually ally use of A.) 06-Wave Optics A PROBLE fter า out nd 9. nt Question 1: A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surface, making it look rainbow-like (an effect known as iridescence). She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33. a) The index of refraction of the oil is 1.20. What is the minimum thickness t of the oil slick at that spot? b) Suppose the oil had an index of refraction of 1.50. What would the minimum thickness t be now? c) Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectrometer. What is the longest wavelength Awater of the light in water that is transmitted most easily to the diver? Question 2: A very thin oil film (n=1.25) floats on water (n=1.33). What is the thinnest film that produces a strong reflection for visible light with a wavelength of 600 nm? Question 3: A sheet of glass is coated with a 501-nm-thick layer of oil (n = 1.42). For what visible wavelengths of light do the reflected