Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 33 - Electromagnetic Waves - Problems - Page 1004: 49

Answer

The angle between $i$ and $r'$ is $~~180^{\circ}$

Work Step by Step

Note that the angle of a reflected ray is equal to the angle of an incident ray. When the ray reflects off the vertical surface, the reflected ray has an angle of $\theta$ The incident ray on the horizontal surface has an incident angle of $90^{\circ}-\theta$, and the reflected ray also has an angle of $90^{\circ}-\theta$ We can add the four angles to find the angle between $i$ and $r'$: $\theta+\theta+(90^{\circ}-\theta)+(90^{\circ}-\theta) = 180^{\circ}$ The angle between $i$ and $r'$ is $~~180^{\circ}$.
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