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 1045: 123b

Answer

0 to 12cm

Work Step by Step

First we consider equation (34-8): $\frac{n_1}{p}+\frac{n_2}{i}=\frac{n_2-n_1}{r}$ where $n_1=1.0$ because we assume normal air around the glass rod. As $i$ approaches negative infinity, we can write: $\frac{n_1}{p}+\frac{n_2}{-\infty}=\frac{n_2-n_1}{r}$ $\frac{n_1}{p}=\frac{n_2-n_1}{r}$ Solving for $p$, we obtain: $p=n_1(\frac{n_2-n_1}{r})^{-1}$ $p=1.0(\frac{1.5-1.0}{6.0cm})^{-1}$ $p=12cm$ Therefore the object distance can be anywhere from 0 to 12cm.
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