Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 34 - Images - Problems - Page 1041: 79d

Answer

$i=-13cm$

Work Step by Step

Use the lens equation $$\frac{1}{f}=\frac{1}{i}+\frac{1}{p}$$ to solve for $i$. $$\frac{1}{i}=\frac{1}{f}-\frac{1}{p}$$ $$\frac{1}{i}=\frac{p}{pf}-\frac{f}{pf}$$ $$\frac{1}{i}=\frac{p-f}{pf}$$ $$i=\frac{pf}{p-f}$$ Substitute known values of $p=+8.0cm$ and $f=+20cm$ (see explanation in answer 79a) to get an image distance of $$i=\frac{(8.0cm)(20cm)}{8.0cm-20cm}=-13cm$$
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