examination by the spectroscope shows dark bands. The consecutive dark bands corresponds to wavelength 6100 Å and 6000 Å. If the refractive index of the film is 4/3, calculate its thickness.

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 8P

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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

White light is incident on a soap film at an angle of sin^(-1(4)/(5)) and the reflected light on examination by the spectroscope shows dark bands. The consecutive dark bands corresponds to wavelength 6100 Å and 6000 Å. If the refractive index of the film is 4/3, calculate its thickness.

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