Munoz (gm7794) – HW10 – TSOI – (92515)
1
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001
(part 1 oF 2) 10.0 points
An object is 9
.
65 cm From the surFace oF a
re±ective spherical Christmastree ornament
3
.
88 cm in radius.
What is the apparent position oF the image?
Correct answer:

1
.
61527 cm.
Explanation:
1
p
+
1
q
=
1
f
=
2
R
M
=
h
±
h
=

q
p
Convex Mirror
0
>f
∞
>p>
0
f<q<
00
<M<
1
Let :
R
=3
.
88 cm
and
p
=9
.
65 cm
.
p
is positive since it is in Front oF the mirror
and
R
is negative since it is behind the mir
ror. A spherical Christmastree ornament is a
convex mirror, so
1
p
+
1
q
=

2

R

.
We are given the object distance,
p
and

R

.
Inserting these values into the mirror equation
and solving For
q
,wefnd
:
q
=

1
2
R
+
1
p
=

1
2
(3
.
88 cm)
+
1
(9
.
65 cm)
=

1
.
61527 cm
.
002
(part 2 oF 2) 10.0 points
What is the magnifcation oF the image?
Correct answer: 0
.
167386.
Explanation:
The magnifcation is given by:
M
=

q
p
=


1
.
61527 cm
9
.
65 cm
=
0
.
167386
.
003
10.0 points
Aconcavem
irrorw
itharad
iuso
Fcurvature
oF 1
.
3misilluminatedbyacandlelocatedon
the symmetry axis 3
.
3mFromthemirror.
Where is the image oF the candle?
Correct answer: 0
.
809434 m.
Explanation:
1
p
+
1
q
=
1
f
=
2
R
m
=
h
±
h
=

q
p
Concave Mirror
f>
0
∞
>p>f
f <q<
∞
0
>m>
∞
f>p>
0
∞
<q<
0
∞
1
Let :
f
=0
.
65 m
and
p
.
3m
.
²rom the mirror equation
1
p
+
1
q
=
1
f
=
2
R
f
=
R
2
⇒
q
=
±
1
f

1
p
²

1
=
±
1
(0
.
65 m)

1
(3
.
3m)
²

1
=
0
.
809434 m
.
004
10.0 points
AconcavemirrorhasaFocallengthoF36cm.
What is the position oF the resulting image
iF the image is inverted and 8 times smaller
than the object?
Correct answer: 40
.
5cm.
Explanation:
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View Full DocumentMunoz (gm7794) – HW10 – TSOI – (92515)
2
1
p
+
1
q
=
1
f
=
2
R
m
=
h
±
h
=

q
p
Concave Mirror
f>
0
∞
>p>f
f <q<
∞
0
>m>
∞
f>p>
0
∞
<q<
0
∞
1
Let :
f
=36cm and
n
=8
.
Since the image is inverted,
n
=

1
m
.F
r
om
the mirror equation
1
p
+
1
q
=
1
f
and
p
q
=
n
,so
1
nq
+
1
q
=
1
f
q
=
(
n
+1)
f
n
=
(8 + 1) (36 cm)
8
=
40
.
5cm
.
005
10.0 points
Consider a concave mirror with radius
R
.An
upright object is placed between the interval
R
2
and
R
.
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 Summer '08
 morrison
 Physics, Munoz

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