Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 34 - Ray Optics - Exercises and Problems - Page 991: 42

Answer

The image is located $~~15~cm~~$ behind the mirror. The height of the image is $~~0.75~cm~~$ and the image is upright.

Work Step by Step

We can find the image distance: $\frac{1}{s}+\frac{1}{s'} = \frac{1}{f}$ $\frac{1}{s'} = \frac{1}{f}-\frac{1}{s}$ $\frac{1}{s'} = \frac{1}{-60~cm}-\frac{1}{20~cm}$ $\frac{1}{s'} = -\frac{1}{15~cm}$ $s' = -15~cm$ We can find the image height: $h' = M ~h$ $h' = (\frac{-s'}{s}) ~(h)$ $h' = (\frac{15~cm}{20~cm}) ~(1.0~cm)$ $h' = 0.75~cm$ The negative sign of $s'$ shows that the image is located $15~cm$ behind the mirror. The height of the image is $0.75~cm$ and a positive $h'$ shows that the image is upright.
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