University Physics with Modern Physics (14th Edition)

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

Chapter 33 - The Nature and Propagation of Light - Problems - Exercises - Page 1106: 33.26

Answer

a. $36.9^{\circ}$. b. Horizontal.

Work Step by Step

The sunlight strikes the water surface at Brewster’s angle (the polarizing angle) because we know the reflected light is completely polarized. Equation 33.8 tells us $tan \theta_p=\frac{n_b}{n_a}$. $$tan \theta_p=\frac{1.333}{1.00}$$ $$\theta_p=53.1^{\circ}$$ The angle is measured relative to the normal to the surface, i.e., in this case, it is measured off the vertical. The sunlight is incident at an angle of $90^{\circ}-53.1^{\circ}=36.9^{\circ}$ above the horizontal. b. Figure 33.27 shows that the plane of the electric field vector, after light reflects from the lake, is horizontal.
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