Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 23 - Light: Geometric Optics - Problems - Page 675: 53

Answer

64 cm.

Work Step by Step

Consider equation 23–9 for the magnification $m=\frac{h_i}{h_o}=-\frac{d_i}{d_o}$. The image is the same size as the object when $d_i=d_o$. Both numbers are positive because the image is real. Now apply the lens equation. $$\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}$$ $$\frac{1}{d_o}+\frac{1}{d_o}=\frac{1}{f}$$ $$d_o=2f=64 cm$$ The object should be placed 64 cm away.
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