Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 24 - The Wave Nature of Light - Problems - Page 709: 47

Answer

$230nm$

Work Step by Step

2 times the thickness of the coating, $x$, should equal a whole number of wavelengths for it to be the brightest light reflected. $2x=m\lambda_c$. Assuming $\lambda_c=\frac{\lambda}{n}$, $x=\frac{m\lambda}{2n}=\frac{(570nm)}{2(1.25)}=230nm$
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