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Q. 65

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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

# A soap bubble is essentially a very thin film of water 1n = 1.332 surrounded by air. The colors that you see in soap bubbles are produced by interference.a. Derive an expression for the wavelengths lC for which constructive interference causes a strong reflection from a soap bubble of thickness d. Hint: Think about the reflection phase shifts at both boundaries.b. What visible wavelengths of light are strongly reflected from a 390-nm-thick soap bubble? What color would such a soap bubble appear to be?

a) The constructive interference is

b) The visible wavelength is 691. 6 nm dark red and 414 .96 nm dark blue.

See the step by step solution

## Step 1: The concept of the wavelength

The distance line between the waves is known as the wavelength.

## Step 2: Explanation of the equation

The wavelength of the light is traveling with speed thus

Thus, the formula of the wavelength is

Thus, the spectrum is (400-800)nm thus the calculation of the value n is

the extremum will be

The other one will be

The integer values of n are 1 and 2. The interferences of the integers are 691.6nm and 414. 96 nm.