Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 27 - Optical Instruments - Problems and Conceptual Exercises - Page 974: 106

Answer

$M=1+\frac{N}{f}$

Work Step by Step

We know that $\frac{1}{d_{\circ}}=\frac{1}{f}-\frac{1}{d_i}$ The viewer's near point is $=N$ Thus, multiplying both sides by $N$, the above equation becomes $\frac{N}{d_{\circ}}=\frac{N}{f}-\frac{N}{d_i}$ $\implies M=\frac{N}{f}-\frac{N}{d_i}$ $\implies M=\frac{N}{f}-\frac{N}{-N}$ because $d_i=-N$ $\implies M=\frac{N}{f}+1$ or $M=1+\frac{N}{f}$
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