There’s a puddle you see in the parking lot at UE. You examine it with a beam of white light. You notice that there’s a thin slick of something (n = 1.25) floating on the puddle (water, n = 1.33). When you shine your flashlight on it, you only see two bright wavelengths in the reflected light, λ = 675 nm and λ = 450 nm, both as measured in air. What is the thickness of the thin film?

There’s a puddle you see in the parking lot at UE. You examine it with a beam of white light. You notice that there’s a thin slick of something (n = 1.25) floating on the puddle (water, n = 1.33). When you shine your flashlight on it, you only see two bright wavelengths in the reflected light, λ = 675 nm and λ = 450 nm, both as measured in air. What is the thickness of the thin film?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 23PQ

See similar textbooks

Similar questions

A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of the water (n 1.30). (a) If you are looking straight down from an airplane, while the Sun is overhead, at a region of the slick where its thickness is 460 nm, for which wavelength(s) of visible light is the reflection brightest because of constructive interference? (b) If you are scuba diving directly under this same region of the slick, for which wavelength(s) of visible light is the transmitted intensity strongest?
White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.70 for the thin film, and 1.50 for the bottom material. The film thickness is 5.00* 10-7 m. Of the visible wavelengths (400 to 700 nm) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?
Parallel rays of monochromatic light with wavelength 594 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm . If the intensity at the center of the central maximum is 3.90×10−4 W/m2W/m2 , what is the intensity at a point on the screen that is 0.880 mm from the center of the central maximum? Express your answer with the appropriate units.
The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00.What is the minimum coating thickness needed to ensure that light of wavelength 560 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference?
Laser light of wavelength 460 nmnm is traveling in air and shines at normal incidence onto the flat end of a transparent plastic rod that has nn = 1.30. The end of the rod has a thin coating of a transparent material that has refractive index 1.75. a)What is the minimum (nonzero) thickness of the coating for which there is maximum transmission of the light into the rod? b)What is the minimum (nonzero) thickness of the coating for which transmission into the rod is minimized?
In a location where the speed of sound is 354 m/s, a 2.00 kHz sound wave impinges on two slits 30.0 cm apart. (a) At what angle is the first maximum located? (b) If the sound wave is replaced by 3.00 - cm microwaves, what slit separation gives the same angle for the first maximum? (c) If the slit separation is 1.00 mm, what frequency of light gives the same first maximum angle?
Two slits spaced 0.250 mm apart are 0.930 m from a screen and illuminated by coherent light of wavelength 630 nm. The intensity at the center of the central maximum is I0. (A) what is the distance on the screen from the center of the central maximum to the first minimum? (B) what is the distance on the screen from the center of the central maximum to the point where the intensity has fallen to I0/2?
A light source simultaneously emits light of two wavelengths, 460 nm and 654 nm, respectively. The source is used in a double-slit interference experiment where the slit spacing is a 0.0431 mm, and the distance between double slits and the screen is 0.90 m. What is the separation between the second-order bright fringes of the two wavelengths as they appear on the screen? (1 nm = 10−9 m) 6.9E−3 m 4.1E−3 m 4.7E−2 m 8.1E−3 m 2.1E−3 m
A thin film of soap with n = 1.40 hanging in the air reflects dominantly red light with λ = 664 nm. Now this film is on a sheet of glass, with n = 1.55. What is the wavelength of the light in air that will now be predominantly reflected?
Parallel rays of monochromatic light with wavelength 575 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is 4.20×10−4 W/m2, what is the intensity at a point on the screen that is 0.850 mm from the center of the central maximum?
1. (a) The speed of a 500 nm light is 3 .00x10^8 m/s in vacuum and 1.95x10^8 m/s in a certain glass. What is theindex of refraction of the light? (b) What is the frequency of the 500 nm light in a vacuum? (c) What is the frequency of the 500 nm light in the glass? (d)If the 500 nm light is incident on a flat boundary between the glass part in Ia and air (nair= 1.00) asshown, what is the angle of reflection? Sketch on the given diagram. Do the samework for the refracted ray.
Light of wavelength λ = 430 nm and intensity I(0) = 210 W/m^2 is incident upon two narrow slits that are separated by a distance d = 36 μm. Part (a) Write an equation for the cosine of half of the phase difference Φ between the waves passing through the two slits in terms of the intensity of the central maximum I(0) and the resulting intensity I. cos(Φ/2) = Part (b) What is the smallest phase angle, Φ in radians, for which the resulting intensity of the light will be I = 110 W/m^2? Φ =