Light with a wavelength of 500 nm is normally incident on afilm (i.e. the uppermost film) with an index of refraction of 1.60. Above the uppermost filmis air. The uppermost film rests on top of a glass surface with an index of refraction of 1.66.a. What is the wavelength of the light in the uppermost film, the one with an index ofrefraction of 1.60?b. In part (a), what is the smallest (nonzero) thickness t of the uppermost film whichwould marimize the intensity of reflected 500 nm light?c. In part (a), what is the smallest (nonzero) thickness t of the outer film which wouldminimize the intensity of the reflected 500 nm light?

Write the given values with suitable variables. Here, λ denotes the wavelength, nf denotes the…

Answered: Light with a wavelength of 500 nm is…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 47P: To save money on making military aircraft invisible to radar, an inventor decides to coat them with...

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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?
(a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of 10.0° , at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
(a) What is the ratio of the speed of red light to violet light in diamond, based on Table 1.2? (b) What is this ratio in polystyrene? (c) Which is more dispersive?
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.
If light in air with a wavelength of 760 nm is incident upon a piece of quartz (n = 1.54) at an angle of 60°.(A) What is the angle of refraction? (B) what is the speed and frequency of this light in the quartz?
Unreasonable ResultsTo 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-cmwavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.
To save money on making military aircraft invisible to radar,an inventor decides to coat them with a non-reflectivematerial having an index of refraction of 1.20, which isbetween that of air and the surface of the plane. This, hereasons, should be much cheaper than designing Stealthbombers. (a) What thickness should the coating be to inhibitthe reflection of 4.00-cm wavelength radar? (b) What isunreasonable about this result? (c) Which assumptions areunreasonable or inconsistent?
(a) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from polystyrene to air, striking the surface at a 30.0º incident angle. What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm?
A glass clad fibre is made with core glass of refractive index1.5 and the cladding is doped to give a fractional index difference of 0.005. a)The external critical acceptance angle is? b) The cladding index is? c) What will be the numerical aperture is light is being launched from water having index 1.337 d) Critical internal reflection angle? e) Numerical aperture?

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