A bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find (a) the smallest possible thickness of the grease layer and (b) the second smallest possible thickness.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
Problem 45PQ
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A bowl of water (n = 1.33) has a thin layer of grease
(n = 1.60) floating on top of the water. When you illuminate the grease
from above with monochromatic light, you get constructive reflection if
the wavelength in air is 565 nm. Find (a) the smallest possible thickness
of the grease layer and (b) the second smallest possible thickness.

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