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?
Calculate the smallest thickness of a soap film on glass capable of producing reflective destructive interference with a wavelength of 700 nm in air. Provide your answer in nanometres, nm. The index of refraction of the soapy water is nsoap=1.30.
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A thin film of oil (n = 1.17) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 512 nm. (b) Let m1 correspond to the order of the constructive interference and m2 to the order of destructive interference. Obtain a relationship between m1 and m2 that is consistent with the given data.
A film of oil (nf = 1.42) 0.00021 mm thick is spread on a glass plate and viewed from above at nearly 90\deg to the surface. What color will the film appear to be? Compute the vacuum wavelength.
A single crystal of cesium is bombarded with CuCu Kα X‑rays with a wavelength of 1.54 Å.1.54 Å. If the spacing between neighboring reflecting planes in the crystal is 4.28 Å,4.28 Å, what is the smallest Bragg angle at which constructive interference will occur?
A plane wave of monochromatic light is incident normally on a uniform thin film of oil that covers a glass plate. The wavelength of the source can be varied continuously. Fully destructive interference of the reflected light is observed for wavelengths of 500 and 700 nm and for no wavelengths in between. If the index of refraction of the oil is 1.30 and that of the glass is 1.50, find the thickness of the oil film.
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Our discussion of the techniques for determining constructive and destructive interference by reflection from a thin film in air has been confined to rays striking the film at nearly normal incidence. What If? Assume a ray is incidentat an angle of 30.0° (relative to the normal) on a film with index of refraction 1.38 surrounded by vacuum. Calculate the minimum thickness for constructive interference of sodium light with a wavelength of 590 nm.
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