   Chapter 27, Problem 75PE

Chapter
Section
Textbook Problem

What are the three smallest non-zero thicknesses of soapy water ( n = 1.33 ) on Plexiglas if it appears green (constructively reflecting 520-nm light) when illuminated perpendicularly by white light? Explicitly show how you follow the steps in Problem Solving Strategies for Wave Optics.

To determine

The three smallest thickness of the soapy water

Explanation

Given info:

Wavelength of the reflected light, λ=520nm

Refractive index of water, n=1.33

Formula used:

The thickness of the film required to produce constructive interference is given as

tc=λ4n,3λ4n,5λ4n,....

Here,

λ is the wavelength of the reflected light

n is the refractive index

t is the thickness of the film producing interference

Calculation:

The three smallest thickness of the film producing constructing interference is calculated as

tc=λ4n,3λ4n,5λ4n,....

The smallest thickness of film required is calculated as

t1=λ4n=5204×1

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