Physics: Principles with Applications (7th Edition)

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

Chapter 25 - Optical Instruments - Problems - Page 740: 10

Answer

See work below.

Work Step by Step

The lens equation shows that when an object is at infinity, the image is at the focal point. Consider equation 23–9 with the image distance equal to the focal length. $$m=-\frac{d_i}{d_o}=-\frac{f}{d_o}=(-\frac{1}{d_o})f=(constant)(f)$$ For an object at a fixed distance, this result proves that the magnification is proportional to the focal length.
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