University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 34 - Geometric Optics - Problems - Exercises - Page 1153: 34.36


22.0 cm.

Work Step by Step

Apply the lensmaker’s formula. $$\frac{1}{f}=(n-1)(\frac{1}{R_1}-\frac{1}{R_2})$$ Since f is positive, we choose $R_1=R$ and $R_2=-R$, where R is the magnitude of the radius of curvature. $$\frac{1}{f}=(n-1)(\frac{1}{R}-\frac{1}{-R})=(n-1) \frac{2}{R}$$ $$R=2(n-1)f=2(1.55-1)(20.0 cm)=22.0 cm$$
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