Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 23 - Ray Optics - Exercises and Problems - Page 692: 64

Answer

The negative sign of $s'$ shows that the image is located $30~cm$ behind the mirror. The height of the image is $1.5~cm$ and a positive $h'$ shows that the image is upright.

Work Step by Step

We can find the image distance: $\frac{1}{s}+\frac{1}{s'} = \frac{1}{f}$ $\frac{1}{s'} = \frac{1}{f}-\frac{1}{s}$ $\frac{1}{s'} = \frac{1}{60~cm}-\frac{1}{20~cm}$ $\frac{1}{s'} = -\frac{1}{30~cm}$ $s' = -30~cm$ We can find the image height: $h' = M ~h$ $h' = (\frac{-s'}{s}) ~(h)$ $h' = (\frac{30~cm}{20~cm}) ~(1.0~cm)$ $h' = 1.5~cm$ The negative sign of $s'$ shows that the image is located $30~cm$ behind the mirror. The height of the image is $1.5~cm$ and a positive $h'$ shows that the image is upright.
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