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.

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 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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