Under what conditions will a person observe no reflected light? Assume that ttt is the film thickness, mmm = 1, 2, 3,..., nnn is the index of refraction of the film, and λλlambda is the wavelength of the light. Express your answer in terms of the variables m, n, λlambda, and appropriate constants.

Under what conditions will a person observe no reflected light? Assume that ttt is the film thickness, mmm = 1, 2, 3,..., nnn is the index of refraction of the film, and λλlambda is the wavelength of the light. Express your answer in terms of the variables m, n, λlambda, and appropriate constants.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 84AP: If bis Brewster’s angle for light reflected from the top of an interface between two substances, and...

See similar textbooks

Similar questions

To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles 24.2°, 25.7°, 29.1°, and 41.0° when projected on a diffraction grating having 10,000 lines per centimeter?
The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?
Two interfering light waves have intensities of 20,W,m−2 and 40,W,m−2 , and the phase difference between them at some point P is π/3 . The intensity at P, in W m−2 , including interference is:(give your answer as a decimal to 1.d.p.)
To reduce the loss of light when reflected from the glass surface, the latter is covered with a thin layer of a substance, the refractive index of which is n '= sqrt (n), where n is the refractive index of the glass. At what minimum thickness d (min) of this layer will the reflectivity of glass in the normal direction be minimal for light with a wavelength λ?
A light of wavelength 5000 Å is 4 incident on water surface of R. I. Find 3 wavelength and frequency of light in water. (V₂ = 6 x 10¹4 Hz).
In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.820 nm makes an angle θ = 62.3˚ with the top face of the crystal. What is the unit cell size a0?
Non-reflective coating is put on eyeglasses. Magnesium fluoride MgF2 is used. The refractive index of MgF2 is 1.38. Designed for light of wavelength 584 nm, the thinnest coating thickness needed is nm. Type your answer....
A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^7 ? is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?
The wavelength of monochromatic light is 5000 Å in air. What will be its wave number in a medium of R. I. 1.5 ?
An x-ray beam of a certain wavelength is incident on an NaCl crystal, at 30.0° to a certain family of reflecting planes of spacing 39.8 pm. If the reflection from those planes is of the first order, what is the wavelength of the x rays?