College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 25 - Vision and Optical Instruments - Learning Path Questions and Exercises - Exercises - Page 873: 49

Answer

$1.32\times10^{-7}rad$ ; $\theta_{min}$ by Hale is 1.6 times as large

Work Step by Step

wavelength $=550nm$ D=$200in=5.08m$ Thus, $\theta_{min}=\frac{1.22\times wavelength}{D}=\frac{1.22\times550\times 10^{-9}}{5.08}=1.32\times10^{-7}rad$ From previous exercise, $\theta_{min}=8.183\times10^{-8}rad$ Therefore, $\frac{\theta_{minH}}{\theta_{minE}}=\frac{1.32\times10^{-7}rad}{8.183\times10^{-8}rad}=1.6$
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