Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 28 - Physical Optics: Interference and Diffraction - Problems and Conceptual Exercises - Page 1005: 30

Answer

Please see the work below.

Work Step by Step

We know that $\lambda_{vacuum}=\frac{2nt}{m}$ We plug in the known values to obtain: $\lambda_{vacuum}=\frac{2(1.33)(401\times 10^{-9}m)}{m}$ $\lambda_{vacuum}=\frac{1066.66nm}{m}$ for $ m=2$ $\lambda=\frac{1066.66nm}{2}=533.33nm $ We know that the wavelength of the green light ranges $520nm-565nm $. Thus, $\lambda_{vacuum}=533.33nm $ shows that the absent reflected light is green light.
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