Version 009 – TEST04 – TSOI – (92515)
1
This
printout
should
have
15
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001
10.0 points
What do the
s
,
p
,
d
,
f
, symbols correspond
to?
1.
n
 quantum numbers.
2.
m
 quantum numbers.
3.
m
j
 quantum numbers.
4.
 quantum numbers.
correct
5.
m
s
 quantum numbers.
Explanation:
E
n
=

k
e
e
2
2
a
0
1
n
2
=

13
.
6
n
2
eV
where
n
= 1
,
2
,
3
, ...
= 0
,
1
,
2
, ..., n

1
m
=

,

+ 1
, ...,

1
,
L
=
(
+ 1) ¯
h
2
L
z
=
m
¯
h
S
=
√
3
2
¯
h
S
z
=
m
s
¯
h
=
±
1
2
¯
h
μ
s
=

e
m
S
μ
sz
=
±
e
¯
h
2
m
Δ
=
±
1
Δ
m
= 0
,
±
1
s
,
p
,
d
,
f
denote angular momentum quan
tum states.
002
10.0 points
An unidentified flying object (UFO) flashes
across the night sky. A UFO enthusiast on the
top of Pike’s Peak determines that the length
of the UFO is 119 m along the direction of
motion.
If the UFO is moving with a speed of 0
.
521
c
,
how long is the UFO according to its pilot?
1. 70.4366
2. 64.3328
3. 179.103
4. 142.405
5. 139.417
6. 166.181
7. 170.96
8. 255.66
9. 104.732
10. 76.8296
Correct answer: 139
.
417 m.
Explanation:
Let :
L
= 119 m
and
v
= 0
.
521
c
.
γ
=
1
1

v
2
c
2
=
1
1

(0
.
521)
2
= 1
.
17157
.
The length measured by pilot (at rest to ship)
is
=
γ
L
= (1
.
17157)(119 m) =
139
.
417 m
.
keywords:
003
10.0 points
Pretend that the starship Enterprise is some
how traveling at
c
with respect to the Earth,
and it fires a drone forward a speed
c
with
respect to itself.
Using the equation for the relativistic ad
dition of velocities, what is the speed of the
drone with respect to the Earth?
1.
2
c
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Version 009 – TEST04 – TSOI – (92515)
2
2.
c
correct
3.
0
.
5
c
4.
0
.
98
c
Explanation:
Let :
v
1
=
v
2
=
c .
The speed of the drone is
v
=
v
1
+
v
2
1 +
v
1
v
2
c
2
=
c
+
c
1 +
c
·
c
c
2
=
2
c
1 + 1
=
c .
004
10.0 points
Due to the length contraction, you notice that
a passing train appears to be shorter than
when it is stationary.
What do the people in the train observe
about you?
1.
They observe you to appear shorter than
when you are at stationary
correct
2.
They observe you to appear longer than
when you are at stationary.
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 Summer '08
 morrison
 Physics, Angular Momentum, λ, leptons, Pike’s Peak

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