Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 24 - The Wave Nature of Light - Problems - Page 710: 60

Answer

4.8 percent

Work Step by Step

Let the initial intensity be $I_o$. The initial light is unpolarized, so the intensity after the first polarizer, $I_1$, will be half the initial intensity. $$I_1=\frac{1}{2}I_o$$ Use equation 24–5 to relate the final intensity to $I_1$. $$I_2=I_1cos^2\theta=\frac{1}{2}I_o cos^2\theta $$ $$\frac{I_2}{I_o}=\frac{cos^2\theta}{2}=\frac{cos^272^{\circ}}{2}$$ $$=0.048$$
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