Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the coating in nanometers? Please give your answer as a whole number.

Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the coating in nanometers? Please give your answer as a whole number.

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 23P: A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence...

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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.

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Elisabeth coats a glass plate (index of refraction of 1.5) with a thin film of a material that has an
index of refraction n = 1.36. When white light shines perpendicularly on the film, the reflected
light from the surface appears green, with a wavelength of 557 nm. What is the thickness of the
coating in nanometers? Please give your answer as a whole number.

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