An oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30° angle to the normal of the surface of the oil. What is the largest, most constructively reflected wavelength (in nm), given that the oil's index of refraction is 1.42? (Assume the index of refraction of water is 1.33.) nm What color does this wavelength correspond to? O violet (2 = 410 nm) blue (à = 470 nm) green (A = 550 nm) O yellow (A = 580 nm) orange (A 610 nm) red (A = 660 nm) This wavelength is not visible.

An oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30° angle to the normal of the surface of the oil. What is the largest, most constructively reflected wavelength (in nm), given that the oil's index of refraction is 1.42? (Assume the index of refraction of water is 1.33.) nm What color does this wavelength correspond to? O violet (2 = 410 nm) blue (à = 470 nm) green (A = 550 nm) O yellow (A = 580 nm) orange (A 610 nm) red (A = 660 nm) This wavelength is not visible.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 23PQ

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

An oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30° angle to the normal of the
surface of the oil. What is the largest, most constructively reflected wavelength (in nm), given that the oil's index of
refraction is 1.42? (Assume the index of refraction of water is 1.33.)
nm
What color does this wavelength correspond to?
violet (1 z 410 nm)
O blue (1 z 470 nm)
green (1 z 550 nm)
O yellow (2 z 580 nm)
orange (1 z 610 nm)
red (A z 660 nm)
O This wavelength is not visible.

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