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14. We remark that the sign convention for
r
(for these refracting surfaces) is the opposite of what was used
for mirrors. This point is discussed in
§
355.
(a) We use Eq. 358:
i
=
n
2
µ
n
2
−
n
1
r
−
n
1
p
¶
−
1
=1
.
5
µ
1
.
5
−
1
.
0
30 cm
−
1
.
0
10 cm
¶
−
1
=
−
18 cm
.
The image is virtual and upright. The ray diagram would be similar to Fig. 3510(c) in the textbook.
(b) We manipulate Eq. 358 to ±nd
r
:
r
=(
n
2
−
n
1
)
µ
n
1
p
+
n
2
i
¶
−
1
=(1
.
5
−
1
.
0)
µ
1
.
0
10
+
1
.
5
−
13
¶
−
1
=
−
32
.
5cm
which should be rounded to two signi±cant ±gures. The image is virtual and upright. The ray
diagram would be similar to Fig. 3510(e) in the textbook, but with the object and the image
placed closer to the surface.
(c) We manipulate Eq. 358 to ±nd
p
:
p
=
n
1
n
2
−
n
1
r
−
n
2
i
=
1
.
0
1
.
5
−
1
.
0
30
−
1
.
5
600
=71cm
.
The image is real and inverted. The ray diagram would be similar to Fig. 3510(a) in the textbook.
(d) We manipulate Eq. 358 to separate the indices:
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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