Mirrors and Lenses
289
(b)
The overall magnification is
(
)
(
)
1
2
1
2
1
2
25.0 cm
30.0 cm
2.50
15.0 cm
20.0 cm
q
q
M
M M
p
p
−
=
=
−
−
=
−
−
= +
−
(c) Since
0
q
<
, the final image is
2
virtual
; and since
0
M
>
, it is
upright
23.43
From the thin lens equation,
(
)(
)
1
1
1
1
1
4.00 cm
8.00 cm
8.00 cm
4.00 cm
8.00 cm
p f
q
p
f
=
=
= −
−
−
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
2
1
6.00 cm
14.0 cm
p
q
=
+
= +
and the thin lens equation gives
(
)
(
)
(
)
2
2
2
2
2
14.0 cm
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 Spring '09
 Physics, Work, Thin lens

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