A 500-nm thick oil film with unknown index of refraction is spread over a sheet of glass (nglass = 1.5). When the film is viewed in reflected light, the two brightest wavelengths in the visible spectrum are 460 nm and 690 nm. Determine the index of refraction of the oil film

A 500-nm thick oil film with unknown index of refraction is spread over a sheet of glass (nglass = 1.5). When the film is viewed in reflected light, the two brightest wavelengths in the visible spectrum are 460 nm and 690 nm. Determine the index of refraction 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 24P

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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

2.
A 500-nm thick oil film with unknown index of refraction is spread over a sheet of glass
(nglass = 1.5). When the film is viewed in reflected light, the two brightest wavelengths in
the visible spectrum are 460 nm and 690 nm. Determine the index of refraction of the oil
film.

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Step 1: When light is reflected from a thin film interference between light is

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Step 2: Dividing the above equation and substitute the values we get

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