Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 26 - Geometrical Optics - Problems and Conceptual Exercises - Page 942: 56

Answer

$40^{\circ}$

Work Step by Step

We know that $n_{air}sin\theta_i=n_wsin\theta_2$ This can be rearranged as: $\theta_i=sni^{-1}(\frac{n_w}{n_{air}}sin\theta_2)$ We plug in the known values to obtain: $\theta=sin^{-1}(\frac{1.33}{1.00}sin^135{\circ})=50^{\circ}$ Now we can find the required angle as $\theta=90^{\circ}-\theta_i=90^{\circ}-50^{\circ}=40^{\circ}$
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