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 1041: 59a

Answer

$55cm$

Work Step by Step

First, we can use the given values from the table in the lens makers equation to find the focal point. $\frac{1}{f}=(n-1)(\frac{1}{r_1} - \frac{1}{r_2})$ Solving for $f$, we obtain: $f=((n-1)(\frac{1}{r_1} - \frac{1}{r_2}))^{-1}$ $f=((1.55-1)(\frac{1}{30cm} - \frac{1}{-42cm}))^{-1}$ $f=+31.8cm$ Now we can use equation 34-9 to find the image distance, $i$: $\frac{1}{p}+\frac{1}{i}=\frac{1}{f}$ Solving for $i$, we have: $i=(\frac{1}{f}-\frac{1}{p})^{-1}$ $i=(\frac{1}{31.8cm}-\frac{1}{75cm})^{-1}$ $i=+55cm$
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