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 1079: 86c

Answer

The phase difference is $~~1.25$

Work Step by Step

Note that the phase difference is $\frac{\lambda}{2}$ when $n = 1.4$ because the first minimum occurs when $n = 1.4$ We can find an expression for $L$: $phase~difference = 1.4~L-L = \frac{\lambda}{2}$ $L = \frac{\lambda}{0.8}$ $L = 1.25~\lambda$ We can find the phase difference when $n = 2.0$: $phase~difference = 2.0~L-L = L = 1.25~\lambda$ As a multiple of $\lambda$, the phase difference is $~~1.25$
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