A thin layer of oil (n = 1.51) has been excreted by the microbes living on the surface of your sliced ham (n = 1.84). The light reflecting off of this oil-coated ham has formed a rainbow effect due to constructive inference. Find the condition for constructive interference in this case, and calculate the minimum thickness required to give destructive interference only for light in the middle of the visible spectrum (yellow-green light, air = 554 nm). Number Units Correct response: 91.7 nm ± 5.0%

A thin layer of oil (n = 1.51) has been excreted by the microbes living on the surface of your sliced ham (n = 1.84). The light reflecting off of this oil-coated ham has formed a rainbow effect due to constructive inference. Find the condition for constructive interference in this case, and calculate the minimum thickness required to give destructive interference only for light in the middle of the visible spectrum (yellow-green light, air = 554 nm). Number Units Correct response: 91.7 nm ± 5.0%

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 23P: Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a...

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(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?
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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 diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be for 520-nmwavelength green light?
At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.
For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.
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