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Worksheets5t4nd1ng w4v35
Total questions: 75
Worksheet time: 2hrs 6mins
Standing wave patterns produced in a medium are constrained to integer or half-integer multiples of resonant wavelengths. If a rope is fixed at both ends 1 m apart, which wavelength below could not possibly produce a standing wave?
2 m
1/3 m
1/4 m
3 m
A pipe, opened at both ends (40 cm long) makes a tone travelling at 330 m/s. Calculate the frequency of the fundamental wave.
4.125 Hz
264 Hz
26400 Hz
412.5 Hz
Even numbered harmonics (multiples of fundamental frequency) do not form in a closed pipe because
the pipe “fits” only an odd number of quarter wavelengths
the pipe “fits” only an even number of quarter wavelengths
the pipe cannot put an anti-node at the open end
the pipe cannot get enough air to vibrate in the pipe at these lengths
The pipe length of A is 0.18 m. Sound travels at 343 ms-1 Calculate the frequency of the sound produced.
686 Hz
1905.56 Hz
343 Hz
1429.17 Hz
The pipe length of B is 0.25 m. What is the wavelength of the sound produced?
0.25 m
0.5 m
0.75 m
1 m
The pipe length of C is 0.25 m. What is the wavelength of the sound produced?
0.25 m
0.5 m
0.75 m
1 m
The pipe length of D is 0.65 m. The frequency of the sound produced is 1200 Hz. Calculate the wave velocity.
120 m/s
600 m/s
343 m/s
780 m/s
A violin string of length 0.54 m and wave speed of 565 m/s along it. Calculate the frequency of the 5th harmonic.
1046.3 HZ
282.5 Hz
2615.74 Hz
1546 Hz
A string vibrating in the sixth harmonic. The length of the string is 1.0 m. What is the wavelength of the wave on the string?
0.33m
1.00m
0.66m
3.00m
A pipe that is open at both ends has a fundamental frequency of 150 Hz when the speed of sound in air is 300 m/s. How long is the pipe?
2.0𝑚
1.0𝑚
1.5𝑚
The figure represents a string of length L, fixed at both ends, vibrating in several harmonics. Which string shows the 4th harmonic?
A
B
C
D
E
The figure represents a string of length L, fixed at both ends, vibrating in several harmonics. Which string shows the 3rd harmonic?
A
B
C
D
E
The figure shows several modes of vibration of a string fixed at both ends. The mode of vibration that represents the fifth harmonic is
1
2
3
4
None of these is correct.
A stretched string is fixed at points 1 and 5. When it is vibrating at the second harmonic frequency, the nodes of the standing wave are at points
1 and 5.
1, 3, and 5.
1 and 3.
2 and 4.
1, 2, 3, 4, and 5.
A stretched string is fixed at points 1 and 5. When it is vibrating in its first harmonic frequency, the nodes are at points
1 and 5 only.
1, 3, and 5.
2 and 4.
2, 3, and 4.
1, 2, 3, 4, and 5.
The figure shows a standing wave in a pipe that is closed at one end. The frequency associated with this wave pattern is called the
first harmonic.
second harmonic.
third harmonic.
fourth harmonic.
fifth harmonic.
Of the sound sources shown, that which is vibrating with its first harmonic is
the whistle.
the organ pipe.
the vibrating string.
the vibrating rod.
None of these.
Of the sound sources shown, that which is vibrating with its first harmonic is the
whistle.
organ pipe.
vibrating string.
vibrating rod.
vibrating spring.
When an organ pipe, which is closed at one end only, vibrates with a frequency that is three times its fundamental (first harmonic) frequency,
the sound produced travels at three times its former speed.
the sound produced is its fifth harmonic.
beats are produced.
the sound produced has one-third its former wavelength.
the closed end is a displacement antinode.
The air in a closed organ pipe vibrates as shown. The length of the pipe is 3.0 m. The frequency of vibration is 80 Hz. The speed of sound in the pipe is approximately
80 m/s
0.16 km/s
0.24 km/s
0.32 km/s
0.96 km/s
A string fixed at both ends is vibrating in a standing wave. There are three nodes between the ends of the string, not including those on the ends. The string is vibrating at a frequency that is its
fundamental.
second harmonic.
third harmonic.
fourth harmonic.
fifth harmonic.
On a standing-wave pattern, the distance between two consecutive nodes is d. The wavelength is
d/2
d
3/2d
2d
4d
A stretched string of length L, fixed at both ends, is vibrating in its third harmonic. How far from the end of the string can the blade of a screwdriver be placed against the string without disturbing the amplitude of the vibration?
L/6
L/4
L/5
L/2
L/3
In a pipe that is open at one end and closed at the other and that has a fundamental frequency of 256 Hz, which of the following frequencies cannot be produced?
768 Hz
1.28 kHz
5.12 kHz
19.7 kHz
All of these can be produced.
The fundamental frequency of a pipe that has one end closed is 256 Hz. When both ends of the same pipe are opened, the fundamental frequency is
64.0 Hz
128 Hz
256 Hz
512 Hz
1.02 kHz
A 1.00 m string fixed at both ends vibrates in its fundamental mode at 440 Hz. What is the speed of the waves on this string?
220 m/s
440 m/s
660 m/s
880 m/s
1.10 km/s
The sound wave in an organ tube shown has a wavelength that is equal to the distance between
A and B.
A and C.
the nodes farthest apart.
the antinodes farthest apart.
None of these are correct.
The velocity of waves in a string fixed at both ends is 2 m/s. The string forms standing waves with nodes 5.0 cm apart. The frequency of vibration of the string in Hz is:
40 Hz
30 Hz
20 Hz
10 Hz
A uniform wire, fixed at both ends, is plucked in the middle so that it vibrates at the first harmonic as shown.
What is the phase difference between the oscillations of the particles at P and Q?
zero
π/4 rad
π/2 rad
3π/4 rad
Stretched strings:
If the length of the string is L = 2 m, what is its wavelength?
1.33 m
0.667 m
4 m
not enough information
The diagram shows a stationary wave on a string at two instants of maximum vertical displacement.
The frequency of the wave is 12 Hz. What is the speed of the wave?
3.6 m s–1
7.2 m s–1
360 m s–1
720 m s–1
The diagram shows a sketch of a wave pattern, over a short period of time.
Which description of this wave is correct?
The wave is longitudinal, has a wavelength of 20 cm and is stationary.
The wave is transverse, has a wavelength of 20 cm and is stationary.
The wave is transverse, has a wavelength of 40 cm and is progressive.
The wave is transverse, has a wavelength of 40 cm and is stationary.
what are the differences between standing waves in a vibrating string and standing waves of air in a pipe
The air particles move faster than particles in the string and move parallel to the pipe whereas the particles in the string move perpendicular to the length of the string. Nodes form at the open ends of the pipe but antinodes form at the ends of the string
The air particles move slower than particles in the string and move parallel to the pipe whereas the particles in the string move perpendicular to the length of the string. Nodes form at the open ends of the pipe but antinodes form at the ends of the string
The air particles move faster than particles in the string and move parallel to the pipe whereas the particles in the string move perpendicular to the length of the string. Antinodes form at the open ends of the pipe but nodes form at the ends of the string
The air particles move slower than particles in the string and move parallel to the pipe whereas the particles in the string move perpendicular to the length of the string. Antinodes form at the open ends of the pipe but nodes form at the ends of the string
How are standing waves formed in a pipe with two open ends
a longitudinal wave travels the length of the pipe and reflects at the open end, in phase. This means the reflected wave and original wave will add constructively forming a node. A quarter wavelength inside the pipe, the reflected wave is 90 degrees ahead of the particles at the open end and the original wave is 90 degrees behind the particles at the open end. This means the particles are 180 degrees out of phase with each other compared to the open end (where there is zero degrees phase difference). This means they must cancel each other and form an antinode. If the other open end is a quarter wavelength from the node then the waves are in phase again and another node will form. So long as the length of the pipe is a multiple of half wavelengths, then a standing wave will fit in it, with nodes at the open ends.
a longitudinal wave travels the length of the pipe and reflects at the open end, in phase. This means the reflected wave and original wave will add constructively forming an antinode. A quarter wavelength inside the pipe, the reflected wave is 90 degrees ahead of the particles at the open end and the original wave is 90 degrees behind the particles at the open end. This means the particles are 180 degrees out of phase with each other compared to the open end (where there is zero degrees phase difference). This means they must cancel each other and form a node. if the other open end is a quarter wavelength from the node then another antinode will form. So long as the length of the pipe is a multiple of half wavelengths, then a standing wave will fit in it, with antinodes at the open ends.
a longitudinal wave travels the length of the pipe and reflects at the open end, in phase. This means the reflected wave and original wave will add constructively forming an antinode. A half wavelength inside the pipe, the reflected wave is 90 degrees ahead of the particles at the open end and the original wave is 90 degrees behind the particles at the open end. This means the particles are 180 degrees out of phase with each other compared to the open end (where there is zero degrees phase difference). This means they must cancel each other and form a node. if the other open end is a half wavelength from the node then another antinode will form. So long as the length of the pipe is a multiple of half wavelengths, then a standing wave will fit in it, with antinodes at the open ends.
An open pipe (80 cm long) makes a tone travelling at 330 m/s. Calculate the first harmonic wavelength.
40 cm
80 cm
120 cm
160 cm
An open pipe (1.8 m long) makes a tone travelling at 330 m/s. Calculate its frequency for the 3rd harmonic.
183.3 Hz
234 Hz
275 Hz
594 Hz
A closed pipe (0.36 m long) makes a tone travelling at 342 m/s. Calculate the tones frequency for the harmonic that comes after the fundamental one shown.
712.5 Hz
170 Hz
275 Hz
594 Hz
A string, fixed at both ends, supports a standing wave with a total of 4 nodes. If the length of the string is 6 m, what is the wavelength of the wave?
0.67 m
1.2 m
3 m
4 m
A string, fixed at both ends, has a length of 6 m and supports a standing wave with a total of 4 nodes. If a transverse wave can travel at 40 m/s down the rope, what is the frequency of the standing wave?
6.7 Hz
10 Hz
20 Hz
26.7 Hz
Air is blown at the mouth of a tube (Length 25 cm and diameter 3 cm) closed at one end. Velocity of sound is 330 m/s. The sound which is produced will correspond to the frequencies,
330 Hz
Combination of frequencies 330, 990, 1650, 2310, Hz
Combination of frequencies 330, 660, 990, 120, 1650 Hz
Combination of frequencies 660, 1320, 1980, 2640, 3300 Hz
A tuning fork of frequency 480 Hz is in unison with the first overtone of a pipe closed at one end. What is the fundamental frequency of the closed pipe?
120 Hz
140 Hz
150 Hz
160 Hz
A
B
C
D
A
B
C
D
A
B
C
D
What is the frequency of the third harmonic for an air air column whose first harmonic frequency is 272Hz.
1016 Hz
816 Hz
90.7 Hz
272 Hz
The speed of sound depends on these two things:
The type of medium and the temperature of the medium
Speed of the medium and temperature of the medium
Temperature of the medium and sound of the medium
None of the above
Stan Ding waives is playing his open-end pipe. The frequency of the second harmonic is 880 Hz (a pitch of A5). The speed of sound through the pipe is 350 m/sec. Find the length of the pipe.
350 m
4 m
880 m
0.398 m
Determine the wavelength of the wave in this 63-cm long air column.
63 cm
21 cm
42 cm
none of them.
Determine the wavelength of the wave in this 85-cm long air column.
42.5 cm
85 cm
42 cm
none of them.
An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork with the fundamental frequency 264 Hz, calculate the length of the column is, (Speed of sound = 330 m/s.)
a. 31.25 cm
b. 93.75 cm
c. 200 cm
d. 150 cm
This wave is found in or on a
String
bar
Open Tube
Closed Tube
The length of the tube is 2 meters. How long is the wavelength of the wave?
1 meter
2 meters
1/2 meter
1/4 meter
Which tube, if the same length, would have the lowest frequency?
An open pipe of length 50.0 m has standing waves formed in it. The speed of sound in air is 350 m/s. What is the fundamental frequency of the waves?
1/7 Hz
2/7 Hz
7/2 Hz
7 Hz
The second harmonic of a guitar string has a frequency of 60 Hz. If the speed of waves on the string is 120 m/s, what is the string’s length?
1.0 m
2.0 m
3.0 m
4.0 m
One end of a long spring is attached to a wall. A student vibrates the other end of the spring vertically, creating a wave that moves to the wall and reflects back toward the student, resulting in a standing wave in the spring, as represented below.
What is the phase difference between the incident wave and the reflected wave at point P?
0o
90o
180o
270o
A 512 Hz tuning fork is held just above a 1 meter tube filled with water which is gradually emptied. If the velocity of sound in air is 340 ms-1 at what length L will the sound from the tuning fork suddenly get louder?
16.6 cm
33.2 cm
49.8 cm
83 cm
Calculate the fundamental frequency of a clarinet (closed pipe) with length 60 cm, if the speed of sound is 343 ms-1.
143 Hz
286
572 Hz
2.3 kHz
Calculate the second harmonic of a clarinet (closed pipe) with length 60 cm, if the speed of sound is 343 ms-1.
142 Hz
248
429 Hz
The clarinet does not support a 2nd harmonic
Calculate the 2nd harmonic of a 1.7 meter organ pipe, which is open at both ends if the speed of sound in air is 340 ms-1.
50 Hz
100 Hz
200 Hz
400 Hz
The 4th harmonic of a guitar string has the frequency 440 Hz, what is the fundamental frequency?
110 Hz
220 Hz
880 Hz
1760 Hz
A 512 Hz tuning fork is held just above a 1 meter tube filled with water which is gradually emptied. If the sound first becomes audible at 16.6 cm and then diminishes, what is the next length for which the sound will peak?
16.6 cm
33.2 cm
49.8 cm
83 cm
If you blew across an open pipe 40 cm long, causing a resonant sound, what would be the fundamental frequency of that sound? Assume the speed of sound in air is 346 ms-1.
216 Hz
433 Hz
1730 Hz
3460 Hz
If you blew across an open pipe 50 cm long, causing a resonant sound with a fundamental frequency of 346 Hz, what would happen to the frequency if you blocked the end of the tube?
The frequency would stay the same
The frequency would double
The frequency would halve
The frequency would become four times greater
A guitar string is 61 cm long. If the speed of the wave in the string is 405 ms-1 what is the fundamental frequency of the sound you get if you pluck the string.
1328 hz
166
664 Hz
332 Hz
In an open pipe 80 cm long you find the 5th harmonic to be 1062.5 Hz, what would happen to the frequency if you covered the end of the pipe?
The frequency would stay the same
The frequency would decrease to 637.5 Hz
The frequency would decrease to 531.3 Hz
The frequency would increase to 2,125 Hz
A guitar string is 61 cm long. If the 1st harmonic is 332 Hz what is the frequency of the next 2 harmonics?
664 Hz and 996 Hz
996 Hz and 1,660 Hz
664 Hz and 1,660 Hz
664 Hz and 1,328 Hz
You pluck a string and produce a sound with the fundamental frequency of 575 Hz. If the speed of the wave in the string is 405 ms-1 what is the length of the string?
70.4 cm
1.4 m
35.2 cm
2.8 m
If you blow across the open end of a soda bottle which acts like a closed pipe, and produce a tone of 250 Hz, what will be the resonant frequency of the next harmonic heard if you blow much harder?
125 Hz
250 Hz
500 Hz
750 Hz
Given two organ pipes with a length of 30 cm, the first is closed at one end, the other is open at both ends. If the 2nd overtones of closed organ pipes are the same as the 3rd overtones of open pipes, determine the length of the closed organ pipe....
17,25 cm
17,75 cm
18,25 cm
18,75 cm
20,25 cm
The open organ pipe A and the closed organ pipe B have the same length. The ratio of the frequency of the first overtone between organ pipe A and organ pipe B is...
1 : 1
2 : 1
2 : 3
3 : 2
4 : 3
The diagram shows standing waves formed on a stretched string. The speed of waves on this string is 50.0 𝑚/𝑠. wave length of the harmonic shown in the figure is 10m
statement below which are incorrect is ...
length of the string is 25 m
8th harmonic has a frequency of 6 Hz
fundamentals of the frequency 1hz
wave length of the first harmonic is 50m
