Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 35 - Interference - Problems - Page 1076: 47

Answer

$\lambda=509nm$

Work Step by Step

We know that $2L=(m)(\frac{\lambda}{n_2})$ This can be rearranged as: $\lambda=\frac{2n_2L}{m}$ We plug in the known values to obtain: $\lambda=\frac{2(1.34)(380)}{m}$ $\lambda=\frac{1018}{m}$ For $m=1$ $\lambda=\frac{1018}{1}=1018nm$ For $m=2$ $\lambda=\frac{1018}{2}=509nm$ Therefore,$509nm$ is in the visible range.
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