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: 118b

Answer

The height of the final image is $-1.2cm$, or in magnitude, $1.2cm$

Work Step by Step

First we can use the given values and our answer to part A in equation 34-6 to find the magnification of each lens. $m_1=-i_1/p_1$ $m_1=-(-6.0cm)/10cm$ $m_1=0.60$ $m_2=-i_2/p_2$ $m_2=-36cm/18cm$ $m_2=-2.0$ Recall that the magnification of the system, $M$, is the product of the magnification of each lens. $M=m_1m_2$ $M=(0.60)(-2.0)$ $M=-1.2$ Now we can multiply the magnification, ($-1.2$), by the actual object height, ($1.0cm$), to find the final image height. $height=-1.2*1.0cm=-1.2cm$ The height is -1.2cm, or 1.2cm inverted.
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