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: 54

Answer

a) $d_i=15.1cm$ $m=0.116$ $h_i=0.278cm$ Real image b) $d_i=-12.23cm$ $m=0.094$ $h_i=-0.226cm$ Virtual image

Work Step by Step

a) $h_o=2.4cm$ $d_o=130cm$ $f=13.5cm$ $d_i=\frac{1}{\frac{1}{f}-\frac{1}{d_o}}=\frac{1}{\frac{1}{13.5cm}-\frac{1}{130cm}}=15.1cm$ $m=\frac{d_i}{d_o}=\frac{15.1cm}{130cm}=0.116$ Real image $h_i=h_om=(2.4cm)(0.116)=0.278cm$ b) $f=-13.5cm$ $d_i=\frac{1}{\frac{1}{f}-\frac{1}{d_o}}=\frac{1}{\frac{1}{-13.5cm}-\frac{1}{130cm}}=-12.23cm$ $m=\frac{d_i}{d_o}=\frac{-12.23cm}{130cm}=0.094$ Virtual image $h_i=h_om=(2.4cm)(0.094)=-0.226cm$
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