A thin film, with a thickness of 272.7 nm and with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength of 600.0 nm undergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the index of refraction.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 63P: Both sides of a uniform film that has index of refraction n and thickness d are in contact with air....
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A thin film, with a thickness of 272.7 nm and with air on
both sides, is illuminated with a beam of white light. The beam is
perpendicular to the film and consists of the full range of wavelengths
for the visible spectrum. In the light reflected by the film,
light with a wavelength of 600.0 nm undergoes fully constructive
interference. At what wavelength does the reflected light undergo
fully destructive interference? (Hint: You must make a reasonable
assumption about the index of refraction.)

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