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: 35.21

Answer

See explanation.

Work Step by Step

$$\lambda=\frac{c}{f}=2.5 m$$ a. Use $\phi=(\frac{2\pi}{\lambda})(r_2-r_1)$ to relate the phase to the wavelength and the path difference. $$\phi =(\frac{2\pi}{2.5m})(1.8m)=4.52 rad$$ b. Use $I=I_0cos^2(\phi/2)$ $$I=I_0cos^2(\frac{4.52rad}{2})=0.404I_0$$
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