A company trains a fleet of drones to seek out exposed empty plastic water bottles in a landfill. Instead of using cameras, it utilizes a sensor and a coherent, monochrome light-source tuned to reflect upon interacting with the thin plastic layer (n 1.575, t 625 um). (a) What is the longest wavelength of light this light source could have and produce this effect? (b) Would this interference be disturbed if the bottle were filled with water (n = 1.33)? Explain why or why not. (c) Suppose the company determines that certain dyes in the plastic were causing this wavelength to be ineffective. What would be an alternative wavelength that would produce a similar effect?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter27: Wave Optics
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A company trains a fleet of drones to seek out exposed empty plastic water bottles in a landfill. Instead
of using cameras, it utilizes a sensor and a coherent, monochrome light-source tuned to reflect upon interacting
with the thin plastic layer (n = 1.575, t = 625 µm).
(a) What is the longest wavelength of light this light source could have and produce this effect?
(b) Would this interference be disturbed if the bottle were filled with water (n = 1.33)? Explain why or why not.
(c) Suppose the company determines that certain dyes in the plastic were causing this wavelength to be
ineffective. What would be an alternative wavelength that would produce a similar effect?
%3D
%3D
Transcribed Image Text:A company trains a fleet of drones to seek out exposed empty plastic water bottles in a landfill. Instead of using cameras, it utilizes a sensor and a coherent, monochrome light-source tuned to reflect upon interacting with the thin plastic layer (n = 1.575, t = 625 µm). (a) What is the longest wavelength of light this light source could have and produce this effect? (b) Would this interference be disturbed if the bottle were filled with water (n = 1.33)? Explain why or why not. (c) Suppose the company determines that certain dyes in the plastic were causing this wavelength to be ineffective. What would be an alternative wavelength that would produce a similar effect? %3D %3D
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Given that:nplastic=1.575 t=625 μm=625×10-6 mnwater=1.33nair=1

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