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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli
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A thin film of soap (n=1.34) coats a piece of flat glass

Chapter 27, Problem 85GP

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QUESTION:

Problem 85GP

A thin film of soap (n=1.34) coats a piece of flat glass (n=1.52). How thick is the film if it reflects 643-nm red light most strongly when illuminated normally by white light?

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QUESTION:

Problem 85GP

A thin film of soap (n=1.34) coats a piece of flat glass (n=1.52). How thick is the film if it reflects 643-nm red light most strongly when illuminated normally by white light?

ANSWER:

Step-by-step solution

Step 1 of 2

The film having refractive index of 1.34 is coated on the surface of a glass. The refractive index of the glass is bigger than the film. This results interference on the surface of a film as in the picture with a path differences of .

The path difference of causes the interference pattern on the surface of the film

with changing thickness d. As in the picture below.

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