lim (kl9356) – Practice Problems 2 – Weathers – (17104)
1
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printout
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36
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001
(part 1 of 3) 10.0 points
You dip your finger into a pan of water twice
each second, producing waves with crests that
are separated by 0
.
18 m.
Determine the frequency of these water
waves. Answer in units of Hz.
002
(part 2 of 3) 10.0 points
Determine the period of these water waves.
Answer in units of s.
003
(part 3 of 3) 10.0 points
Determine the speed of these water waves.
Answer in units of m
/
s.
004
10.0 points
The distance between two successive crests of
a certain transverse wave is 1
.
31 m.
Eight
crests pass a given point along the direction
of travel every 15
.
1 s.
Calculate the wave speed. Answer in units
of m
/
s.
005
10.0 points
Earthquakes produce two kinds of seismic
waves:
The
longitudinal
primary
waves
(called
P
waves) and the transverse
secondary
waves
(called
S
waves). Both S waves and P waves
travel through Earth’s crust and mantle, but
at different speeds; the P waves are always
faster than the S waves, but their exact speeds
depend on depth and location. For the pur
pose of this exercise, we assume the P wave’s
speed to be
v
P
= 8990 m
/
s while the S waves
travel at a slower speed of
v
S
= 5320 m
/
s.
Suppose a seismic station detects a P wave
and then Δ
t
= 87
.
9 s later detects an S wave.
How far away is the earthquake center? An
swer in units of km.
006
10.0 points
A wave is sent along a long spring by mov
ing the left end rapidly to the right and keep
ing it there. The figure shows the wave pulse
at QR  part RS of the long spring is as yet
undisturbed.
P
S
P
Q
R
S
Which of the graphs correctly shows the
relation between the original position
x
of
each point of the spring and the corresponding
displacement Δ
x
of that point?
(Displacements to the right are positive.)
1.
x
Δ
x
2.
x
Δ
x
3.
x
Δ
x
4.
None of these graphs is correct.
5.
x
Δ
x
6.
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lim (kl9356) – Practice Problems 2 – Weathers – (17104)
2
x
Δ
x
7.
x
Δ
x
007
(part 1 of 3) 10.0 points
A transverse wave of frequency 50 Hz propa
gates down a string. Two points 30 cm apart
are out of phase by
3
π
4
.
What is the wave length of the wave? An
swer in units of cm.
008
(part 2 of 3) 10.0 points
At a given point, what is the phase difference
(as a multiple of
π
) between two ‘displace
ments for times 7
.
5 ms apart?
Answer in
units of
π
.
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 Fall '08
 Weathers
 Magnetism, Frequency, lim

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