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: 34.45

Answer

10.2 m.

Work Step by Step

Use the lens equation. $$\frac{1}{s}+\frac{1}{s’}=\frac{1}{f}$$ The image is to be formed on the sensor, so s’=20.4 cm. Solve for the object distance. $$s=\frac{s’f}{s’-f}=\frac{(20.4cm)(20.0cm)}{(20.4cm-20.0cm)}=1020 cm$$ The object distance s is much greater than f. As expected, the image is focused just outside the focal point.
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