Q. 66

Expert-verified
Found in: Page 486

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Engineers are testing a new thin-film coating whose index of refraction is less than that of glass. They deposit a 560-nm-thick layer on glass, then shine lasers on it. A red laser with a wavelength of 640 nm has no reflection at all, but a violet laser with a wavelength of 400 nm has a maximum reflection. How the coating behaves at other wavelengths is unknown. What is the coating’s index of refraction?

The coating's index of refraction is n= 1.429

See the step by step solution

## Step 1: The concept of refraction

The change in direction of a wave passing from one medium to another or from a gradual change in the medium is known as the refraction.

## Step 2: Explanation of the solution

Here,

Thus, the solution of the refraction is

Thus, the ratio of the constructive interference is

In order to find out the substitute of the by the random numbers of . Thus, the substitute of is 3.

Thus,

By using the coating's index of refraction in equation is

Centering is

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