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 657 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?

A thin uniform film of refractive index 1.750 is placed on a sheet of glass with a refractive index 1.50. At room temperature (22.4 °C), this film is just thick enough for light with a wavelength 580.5 nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to 176 °C, you find that the film cancels reflected light with a wavelength 588.0 nm Part A What is the coefficient of linear expansion of the film? (Ignore any changes in the refractive index of the film due to the temperature change.) Express your answer using two significant figures. α = Submit 96 ΫΠ ΑΣΦ Request Answer ? Review | Constants (°C) -¹

You are evaluating a method for studying liquid crystals. Two identical crystals are mounted over the two slits of a double-slit apparatus. The slits are illuminated with monochromatic coherent light and the interference pattern is observed on a screen. An electric voltage is then applied to one of the two crystals, causing its index of refraction to increase and the interference pattern to shift to one side. Your boss has asked you to calculate the change in the index of refraction of the electrified crystal in terms of distance between the two slits, the distance from the slits to the observing screen, the thickness of the crystals, the original index of refraction of the crystals (when not electrified), the wavelength of the light used, and the distance that the central maximum of the pattern is observed to shift when the voltage is applied (you might not use all of these quantities in your answer). two crystals double slits Light observing screen

A mixture of red light (λvacuum = 640 nm) and green light (λvacuum = 512 nm) shines perpendicularly on a soap film (n = 1.29) that has air on both side. What is the minimum nonzero thickness of the film, so that destructive interference causes it to look red in reflected light?