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: 39b

Answer

$L=0.352\mu m$

Work Step by Step

We know that $2L=(m+\frac{1}{2})({\frac{\lambda}{n}})$ This can be rearranged as: $L=(m+\frac{1}{2})(\frac{\lambda}{2n})$ We plug in the known values to obtain: $L=(m+\frac{1}{2})(\frac{624\times 10^{-9}}{2(1.33)})$ $L=(m+\frac{1}{2})(234.59nm)$ for $m=0$: $L=(\frac{1}{2})(234.59nm)=117nm=0.117\mu m$ Therefore, for $m=1$: $L=(1+\frac{1}{2})(234.59nm)=352nm=0.352\mu m$
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