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: 33.30

Answer

a. $58.9^{\circ}$. b. $51.2^{\circ}$.

Work Step by Step

a. The light strikes the glass at Brewster’s angle (the polarizing angle) because we know the reflected light is completely polarized. Equation 33.8 tells us $tan \theta_p=\frac{n_b}{n_a}$. $$tan \theta_p=\frac{1.66}{1.00}$$ $$\theta_p=58.9^{\circ}$$ b. Repeat, using water instead of air. Equation 33.8 tells us $tan \theta_p=\frac{n_b}{n_a}$. $$tan \theta_p=\frac{1.66}{1.333}$$ $$\theta_p=51.2^{\circ}$$
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