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 993: 69

Answer

The lens should be located $~~2.0~m~~$ from the wall. $f = 0.67~m$

Work Step by Step

Let $x$ be the distance of the lens from the wall. We can find $x$: $\vert M \vert = \frac{s'}{s} = 2$ $\frac{x}{3.0-x} = 2$ $x = 6.0-2x$ $3x = 6.0~m$ $x = 2.0~m$ The lens should be located $~~2.0~m~~$ from the wall. Then $~~s' = 2.0~m~~$ and $~~s = 1.0~m~~$ We can find the focal length: $\frac{1}{s}+\frac{1}{s'} = \frac{1}{f}$ $\frac{1}{1.0~m}+\frac{1}{2.0~m} = \frac{1}{f}$ $\frac{3}{2.0~m} = \frac{1}{f}$ $f = \frac{2.0~m}{3}$ $f = 0.67~m$
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