Rodriguez, Brandon – Homework 22 – Due: Nov 7 2006, 11:00 am – Inst: Andrew J Rader
1
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printout
should
have
12
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
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Please notice that for your homework to be
considered towards your grade, it needs to be
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Work submitted after this
time, but before the DUE DATE on top of
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REMEMBER
THAT
YOU
MUST CARRY OUT YOUR CALCULA
TIONS TO AT LEAST THREE SIGNIFI
CANT FIGURES. YOUR ANSWER MUST
BE
WITHIN
ONE
PERCENT
OF
THE
CORRECT RESULT TO BE MARKED AS
CORRECT BY THE SERVER.
001
(part 1 of 2) 4 points
An object is 20
.
7 cm from the surface of a
reflective spherical Christmastree ornament
5
.
77 cm in diameter.
What is the position of the image?
Correct answer:

1
.
34853 cm.
Explanation:
1
p
+
1
q
=
1
f
=
2
R
m
=
h
0
h
=

q
p
Convex Mirror
0
> f
∞
> p >
0
f < q <
0
0
< m <
1
Let :
D
= 5
.
77 cm
and
p
= 20
.
7 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 can
find the radius of curvature from the diameter,

R

=

D

2
.
Inserting these values into the
mirror equation and solving for
q
, we find
q
=

1
4
D
+
1
p
=

1
4
(5
.
77 cm)
+
1
(20
.
7 cm)
=

1
.
34853 cm
.
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 Spring '08
 pedon
 Work, Correct Answer, Curved mirror

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