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1. A wave of amplitude 0.30 m interferes with a second wave of
amplitude 0.20 m.
a) What is the largest resultant displacement
occur? What type of interference is this?
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b) What is the smallest resultant displacement
occur? What type of interference is this?
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2. A string is rigidly attached to a post at one end. Several
pulses of amplitude 0.15 m sent down the string are reflected at
the post and travel back down the string without a loss of
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amplitude.
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a) What is the amplitude at a point on the string where the
maximum displacement points of two pulses cross? What type
of interference is this?
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b) How would your answer to a) change if the same pulses
were sent down a string whose end is free? What type of
interference is this?
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3. A stretched string fixed at both ends is 2.e m long. What are
three wavelengths that will produce standing waves on this
string? Name at least one 'wavelength that would not produce a
standing wave pattern, and explain your answer.
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4. While playing, two children create a standing wave in a rope,
as shown in the diagram below. A third child participates by
jumping the rope. Find the wavelength of this standing wave.
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5. Several standing waves generated on a string are shown below.
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a)
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as Nl, N2, N3 etc. '
b),How many nodes do the following waves have? Label nodes
as AN1, AN2, AN3 etc.
wave.
6. A wave of 0.10 m
+0.)0
amplitude traveling on a *0.20
string interferes with a .o+O.k)
./ io-"'"'"
wave of 0.20 m amplitude .0.00\
-0.0
that was generated at the -0.'l..O
other end with the same _o.'~o
frequency. Their maxima
-+0.')0
t.._
occur at the same points ~LO ~b~
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on the string.
+0.10
~.,
0.00
V
a. Sketch a graph of each -0.10
individual wave traveling -O.~c
through the same area of -~~ 0
the string for one period ~o·)oI~ ./ V
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on the grids labeled (a) +O',LO
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./
..\-0.0
r:-.
and (b).
0.00 ~
-..
r-,
..........
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b. Sketch a graph of the -o.'t.O
wave shape resulting from _0.',.0
interference on the grid
~~
labeled (c). What type of
interference is this?
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7. A wave of rectangular
shape traveling on a string
to the right is shown on the
grid (a). This wave
interferes with a
rectangular shape wave
traveling on the
same string to the left as
shown on the grid (b).
Sketch a graph of the wave
shape resulting from
interference on the grid
labeled (c). What type of
interference is this?
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8. A 15.0 m long string is tied at one end (point B) and shaken
repeatedly at the other end (point A) with a 2.00 Hz frequency.
This generates waves that "travel at 20.0 m/s in the string.
a) How long does it take for each pulse to travel from A to
B and return to A?
b) What is the wavelength
of these waves?
c) Are the pulses inverted when reflected from B? Why?
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9. A standing wave in a clothesline has 4 nodes and 3 antinodes.
The clothesline is 12 m long and is vibrating at 0.50 vibrations
per second. What is the speed of the wave?
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10. A wave travels from one medium to another, and the ~velength
decreases. What happens to the velocity and frequency?
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11. The pulse below is being reflected from a less rigid medium.
Sketch the reflected pulse.
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