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Mirrors and Lenses
289
(b) The overall magnification is
()
12
25.0 cm
30.0 cm
2.50
15.0 cm
20.0 cm
qq
MMM
pp
−
==
−
−
=
−
−
=
+
−
(c) Since
0
q
<
, the final image is
2
virtual ; and since
0
M
>
, it is
upright
23.43
From the thin lens equation,
( )( )
11
1
4.00 cm
8.00 cm
8.00 cm
4.00 cm
8.00 cm
pf
q
=
−
−−
The magnification by the first lens is
( )
1
1
1
8.00 cm
2.00
4.00 cm
q
M
p
−
=−
=+
The virtual image formed by the first lens is the object for the second lens, so
21
6.00 cm
14.0 cm
pq
=
+
and the thin lens equation gives
( )( )
22
2
14.0 cm
16.0
14.0 cm
16.
q
−
cm
7.47 cm
0 cm
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This document was uploaded on 10/20/2011.
 Spring '09
 Physics, Work

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