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 1040: 41a

Answer

+40 cm

Work Step by Step

Refractive index of glass $n=1.5$ Radius of curvature of convex side $r_1=+20\ cm$ Radius of curvature of flat side $r_2=∞$ To find the focal length of the length f, we use the formula $\frac{1}{f}=(n-1) (\frac{1}{r_1} -\frac{1}{r_2} )$ $\frac{1}{f}=(1.5-1) (\frac{1}{20} -\frac{1}{∞} )$ $\frac{1}{f}=(0.5) (0.05 -0)$ $\frac{1}{f}=0.025$ $f=+40\ cm$ Note that it is a converging lens (thicker in the center than the edges) so the focal length must be positive.
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