p35 026

26. (a) (b) (c) and (d) Our first step is to form the image from the first lens. With p1 = 10 cm and
f1 = -15 cm, Eq. 35-9 leads to
1 1 1
+ = =Ò! i1 = -6 cm.
p1 i1 f1
The corresponding magnification is m1 = -i1/p1 =0.6. This image serves the role of  object for
the second lens, with p2 =12 +6 =18 cm, and f2 =12 cm. Now, E q. 35-9 leads to
1 1 1
+ = =Ò! i2 =36 cm
p2 i2 f2
with a corresponding magnification of m2 = -i2/p2 = -2, resulting in a net magnification of
m = m1m2 = -1.2. The fact that m is positive means that the orientation of the final image is
inverted with respect to the (original) object. The height of the final image is (in absolute value)
(1.2)(1.0cm) = 1.2 cm. The fact that i2 is positive means that the final image is real.

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