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 24 - Optical Instruments - Exercises and Problems - Page 714: 27

Answer

(a) $d = f_2+f_1$ (b) $w_2 = \frac{f_2}{\vert f_1 \vert}\cdot w_1$

Work Step by Step

(a) In order for beams to exit the second lens as parallel beams, the focus point $f_1$ and the focus point $f_2$ must coincide at the same location a distance of $\vert f_1 \vert$ to the left of the first lens. Therefore: $~~d = f_2- \vert f_1 \vert = f_2+f_1$ (b) We can use similar triangles to find $w_2$: $\frac{w_2}{w_1} = \frac{f_2}{\vert f_1 \vert}$ $w_2 = \frac{f_2}{\vert f_1 \vert}\cdot w_1$
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