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 1108: 33.50

Answer

1.35.

Work Step by Step

The ray enters the prism with a zero degree incident angle (normal) and is not bent. The incident angle of $60^{\circ}$ at the glass-water interface is the critical angle. Total internal reflection occurs when the angle of incidence is greater than or equal to the critical angle. At the critical angle, Snell’s law gives $n_{glass}sin\theta_{crit}= n_{liquid}sin90^{\circ}$. $$ 1.56sin60.0^{\circ}= n_{liquid} (1)$$ $$ n_{liquid}=1.56\frac{ sin60.0^{\circ}}{1} = 1.35$$
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