Two in phase, monochromatic light rays traverse transparent materials with differingindices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Farfrom the materials the light rays are combined without further phase shifts and there isinterference.a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths (N, - N, )?b. If n, =1.475=1.60 and L=12.00µm what is the phase difference in wavelengths (N2 - N, )?c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths (N, - N )?d. Rank the three cases above in terms of brightness for the combined light.n27.

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Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =500. nm . Far from the materials the light rays are combined without further phase shifts and there is interference.

Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =500. nm . Far from the materials the light rays are combined without further phase shifts and there is interference.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 77PE: (a) As a soap bubble thins it becomes dark, because the path length difference becomes small...

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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

Two in phase, monochromatic light rays traverse transparent materials with differing
indices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Far
from the materials the light rays are combined without further phase shifts and there is
interference.
a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths (
N, - N, )?
b. If n, =1.475
=1.60 and L=12.00µm what is the phase difference in wavelengths (
N2 - N, )?
c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths (
N, - N )?
d. Rank the three cases above in terms of brightness for the combined light.
n2
7.

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