University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 35 - Interference - Problems - Exercises - Page 1181: 35.14

Answer

2.53 mm.

Work Step by Step

The values of y are much smaller than R. Use the approximate expression $y_m=R\frac{m \lambda}{d}$. $\Delta y_1=R\frac{\Delta \lambda}{d}$ $$ =(4.00m)\frac{ (190\times10^{-9}m)}{0.300\times10^{-3}m}=2.53\times10^{-3}m$$
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