A transparent oil with index of refraction 1.22 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.

A transparent oil with index of refraction 1.22 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine the thickness of the oil slick.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 67AP: A transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What...

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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

A transparent oil with index of refraction 1.22 spills on the surface of water (index of refraction 1.33), producing a maximum of
reflection with normally incident violet light (wavelength 400 nm in air). Assuming the maximum occurs in the first order, determine
the thickness of the oil slick.
nm

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