How Is The Wavelength Changed For The Increased Tension If The Frequency Remains The Same?
Sound and Music Review
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Part B: Multiple Choice
x. What type of wave is produced when the particles of the medium are vibrating to and fro in the same management of wave propagation?
a. longitudinal moving ridge. | b. sound wave. | c. standing wave. | d. transverse wave. |
Answer: A
This is the definition of a longitudinal wave. A longitudinal wave is a wave in which particles of the medium vibrate to and fro in a direction parallel to the direction of energy send.
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11.
When the particles of a medium are vibrating at correct angles to the direction of energy transport, the type of moving ridge is described equally a _____ wave.
a. longitudinal | b. sound | c. standing | d. transverse |
Answer: D
This is the definition of a transverse wave. A transverse wave is a wave in which particles of the medium vibrate to and fro in a management perpendicular to the management of energy transport.
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12.
A transverse moving ridge is traveling through a medium. Run into diagram below. The particles of the medium are moving.
a. parallel to the line joining AD. | b. along the line joining CI. |
c. perpendicular to the line joining AD. | d. at various angles to the line CI. |
due east. forth the bend CAEJGBI. |
Answer: A
In transverse waves, particles of the medium vibrate to and fro in a direction perpendicular to the management of energy ship. In this case, that would exist parallel to the line Advertisement.
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13.
If the energy in a longitudinal wave travels from south to due north, the particles of the medium ____.
a. move from north to south, only. | b. vibrate both north and south. |
c. move from east to west, simply. | d. vibrate both east and west. |
Answer: B
In longitudinal waves, particles of the medium vibrate to and from in a direction parallel to the direction of energy transport. If the particles only moved north and not dorsum south, then the particles would be permanently displaced from their rest position; this is not wavelike.
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xiv.
The main factor which effects the speed of a sound wave is the ____.
a. aamplitude of the sound moving ridge | b. intensity of the sound wave |
c. loudness of the sound wave | d. properties of the medium |
due east. pitch of the sound moving ridge |
Respond: D
The speed of a moving ridge is dependent upon the properties of the medium and not the properties of the wave.
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15.
As a moving ridge travels into a medium in which its speed increases, its wavelength ____.
a. decreases | b. increases | c. remains the aforementioned |
Answer: B
As a wave crosses a purlieus into a new medium, its speed and wavelength change while its frequency remains the same. If the speed increases, so the wavelength must increment as well in lodge to maintain the aforementioned frequency.
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16.
As a wave passes beyond a purlieus into a new medium, which feature of the wave would NOT change?
a. speed | b. frequency | c. wavelength |
Answer: B
As a wave crosses a boundary into a new medium, its speed and wavelength change while its frequency remains the same. This is true of all waves every bit they pass from one medium to another medium.
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17.
The ____ is defined equally the number of cycles of a periodic moving ridge occurring per unit fourth dimension.
a. wavelength | b. menses | c. amplitude | d. frequency |
Reply: D
This is a basic definition which you should know and be able to apply.
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18.
Many moving ridge properties are dependent upon other wave backdrop. Still, one wave property is independent of all other moving ridge backdrop. Which 1 of the post-obit backdrop of a wave is independent of all the others?
a. wavelength | b. frequency | c. period | d. velocity |
Answer: D
The speed (or velocity) of a wave is dependent upon the properties of the medium through which it moves, not upon the properties of the moving ridge itself.
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19.
Consider the motion of waves in a wire. Waves will travel fastest in a ____ wire.
a. tight and heavy | b. tight and calorie-free | c. loose and heavy | d. loose and light |
Reply: B
The speed of a moving ridge in a wire is given by the equation
where Ftens is the tension of the wire and a mensurate of how tight it is pulled and mu is the linear density of the wire and a mensurate of how light it is on a per meter basis. Tighter wires allow for faster speeds. Light wires allow for faster speeds.
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The SI unit for frequency is hertz.
Answer: A
Know this like the back of your manus (bold you know the dorsum of your hand well).
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Doubling the frequency of a sound source doubles the speed of the audio waves which it produces.
Reply: B
Don't be fooled. Moving ridge speed may equal frequency*wavelength. Yet doubling the frequency but halves the wavelength; wave speed remains the aforementioned. To change the wave speed, the medium would take to be changed.
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22.
A sound wave has a wavelength of three.0 m. The distance between the heart of a compression and the center of the next adjacent rarefaction is ____.
a. 0.75 m. | b. 1.five thousand. | c. 3.0 m. | d. 6.0 m. |
e. impossible to calculate without knowing frequency. |
Answer: B
The wavelength of a moving ridge is measured every bit the altitude between any two corresponding points on next wave. For a sound wave, that would be from pinch to the side by side adjacent compression. If that distance is three.0 meters, then the distance from compression to the next adjacent rarefaction is one.5 m.
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23.
Which one of the post-obit factors determines the pitch of a sound?
a. The aamplitude of the audio waveb. The distance of the sound wave from the source
c. The frequency of the sound moving ridge
d. The phase of different parts of the audio wave
e. The speed of the sound moving ridge
Answer: C
The pitch of a audio moving ridge is related to the frequency of the sound moving ridge.
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24.
A certain note is produced when a person blows air into an organ piping. The manner in which i blows on a organ pipe (or any pipe) will effect the characteristics of the sound which is produced. If the person blows slightly harder, the most probable alter will be that the sound wave volition increase in ____.
a. amplitude | b. frequency | c. pitch | d. speed | due east. wavelength |
Answer: A
If you put more than free energy into the wave - i.eastward., blow harder - and so the aamplitude of the waves will be greater. Free energy and aamplitude are related.
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25.
A vibrating object with a frequency of 200 Hz produces sound which travels through air at 360 1000/s. The number of meters separating the adjacent compressions in the sound wave is ____.
a. 0.90 | b. 1.8 | c. iii.6 | d. 7.2 | east. 200 |
Reply: B
Allow w=wavelength; then v = w*f. In this problem, it is given that v=360 m/southward and f = 200 Hz. Substitution and algebra yields w = v/f = one.8 chiliad. The question asks for the wavelength - i.eastward., the altitude between next compressions.
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26.
Consider the diagram below of several circular waves created at various times and locations. The diagram illustrates ____.
a. interference | b. diffraction | c. the Doppler effect. | d. polarization |
Reply: C
The Doppler result or Doppler shift occurs when a source of waves is moving with respect to an observer. The observer observes a different frequency of waves than that emitted by the source. This is due to the fact that the waves are compressed together into less infinite in the management in which the source is heading.
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27.
In the diagram in a higher place, a person positioned at signal A would perceive __________ frequency as the person positioned at betoken B.
a. a higher | b. a lower | c. the aforementioned |
Respond: A
The Doppler effect or Doppler shift occurs when a source of waves is moving with respect to an observer. The observer observes a different frequency of waves than that emitted by the source. If the source and observer are approaching, and then the observed frequency is college than the emitted frequency. If the source and observer are moving away from each other, the observer observes a lower frequency than the emitted frequency.
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28.
A girl moves abroad from a source of audio at a constant speed. Compared to the frequency of the sound wave produced by the source, the frequency of the sound wave heard by the girl is ____.
a. lower. | b. higher. | c. the aforementioned. |
Answer: A
The Doppler outcome or Doppler shift occurs when a source of waves is moving with respect to an observer. The observer observes a unlike frequency of waves than that emitted past the source. If the source and observer are moving abroad, then the observed frequency is lower than the emitted frequency.
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29.
An globe-based receiver is detecting electromagnetic waves from a source in outer infinite. If the frequency of the waves are observed to be increasing, then the distance between the source and the earth is probably ____.
a. decreasing. | b. increasing. | c. remaining the same. |
Answer: A
The Doppler effect or Doppler shift occurs when a source of waves is moving with respect to an observer. The observer observes a unlike frequency of waves than that emitted by the source. If the source and observer are budgeted, then the observed frequency is higher than the emitted frequency. If the source and observer are approaching, and then the distance betwixt them is decreasing.
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30.
As two or more waves pass simultaneously through the aforementioned region, ____ tin occur.
a. refraction | b. diffraction | c. interference | d. reflection |
Answer: C
Interference is the coming together of two or more waves when passing forth the same medium - a bones definition which yous should know and be able to apply.
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If ii crests run across while passing through the same medium, and so constructive interference occurs.
Answer: A
Yes! Or when a trough meets a trough or whenever two waves displaced in the aforementioned direction - both up or both down - meet.
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32.
A node is a signal along a medium where at that place is always ____.
a. a crest meeting a crest | b. a trough meeting a trough | c. effective interference |
d. subversive interference | e. a double rarefaction. |
Answer: D
A node is a indicate along the medium of no displacement. The point is not displaced considering destructive interference occurs at this point.
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It is possible that one vibrating object can set another object into vibration if the natural frequencies of the two objects are the same.
Reply: A
Yes! This is known equally resonance. Resonance occurs when a vibrating object forces some other object into vibration at the same natural frequency. A basic definition of a commonly discussed miracle.
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34.
An object is vibrating at its natural frequency. Repeated and periodic vibrations of the same natural frequency impinge upon the vibrating object and the amplitude of its vibrations are observed to increase. This phenomenon is known every bit ____.
a. beats | b. fundamental | c. interference | d. overtone | e. resonance |
Answer: E
Resonance occurs when a vibrating object forces another object into vibration at the aforementioned natural frequency and thus increase the aamplitude of its vibrations. A basic definition of a ordinarily discussed phenomenon.
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35.
A standing wave experiment is performed to make up one's mind the speed of waves in a rope. The standing wave pattern shown below is established in the rope. The rope makes xc.0 complete vibrational cycles in exactly ane minute. The speed of the waves is ____ m/s.
a. 3.0 | b. half-dozen.0 | c. 180 | d. 360 | e. 540 |
Reply: B
Xc vibrations in 60.0 seconds means a frequency of 1.50 Hz. The diagram shows 1.5 waves in 6.0-meters of rope; thus, the wavelength (w) is iv meters. Now apply the equation v=f*due west to calculate the speed of the wave. Proper substitution yields half dozen.0 m/s.
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36.
Continuing waves are produced in a wire past vibrating i terminate at a frequency of 100. Hz. The altitude between the second and the fifth nodes is lx.0 cm. The wavelength of the original traveling wave is ____ cm.
a. 50.0 | b. 40.0 | c. 30.0 | d. 20.0 | e. 15.0 |
Respond: B
The frequency is given as 100. Hz and the wavelength can be establish from the other givens. The distance between side by side nodes is one-half a wavelength; thus the 60.0-cm distance from 2nd to 5th node is i.l wavelengths. For this reason, the wavelength is xl.0 cm.
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37.
Consider the standing moving ridge blueprint shown below. A wave generated at the left terminate of the medium undergoes reflection at the fixed end on the right side of the medium. The number of antinodes in the diagram is
a. 3.0 | b. v.0 | c. 6.0 | d. 7.0 | east. 12 |
Reply: C
An antinode is a bespeak on the medium which oscillates from a large + to a large - displacement. Count the number of these points - there are 6 - only exercise not count them twice.
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38.
The continuing wave blueprint in the diagram above is representative of the ____ harmonic.
a. third | b. fifth | c. sixth | d. seventh | east. 12th |
Answer: C
If there are half-dozen antinodes in the continuing wave pattern, then it is the 6th harmonic.
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39.
The distance betwixt successive nodes in any standing wave design is equivalent to ____ wavelengths.
a. ane/4 | b. i/2 | c. 3/4 | d. 1 | e. 2. |
Reply: B
Describe a standing moving ridge pattern or look at one which is already drawn; note that the nodes are positioned half of a wavelength apart. This is true for guitar strings and for both closed-stop and open-end resonance tubes.
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40.
A vibrating tuning fork is held above a airtight-stop air column, forcing the air into resonance. If the sound waves created past the tuning fork have a wavelength of Due west, then the length of the air column could Not exist ____.
a. 1/iv W | b. two/4 W | c. 3/4 W | d. 5/4 Westward | eastward. vii/4 West |
Answer: B
Review your diagrams for the continuing moving ridge patterns in airtight terminate air columns; note that resonance occurs when the length of the air column is one/four, 3/4, 5/four, vii/4, ... of a wavelength. Considering these possible resonant lengths are characterized by an odd-numbered numerator, it is said that airtight-finish air columns only produce odd harmonics.
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A vibrating tuning fork is held to a higher place an air column, forcing the air into resonance. The length of the air cavalcade is adjusted to obtain diverse resonances. The sound waves created by the tuning fork accept a wavelength of W. The difference between the successive lengths of the air column at which resonance occurs is i/2 Due west.
Reply: A
True! Detect the standing wave patterns and the length-wavelength relationships which nosotros have discussed for both open- and closed-cease tubes. In each case, resonance occurs at lengths of tubes which are separated by one-one-half wavelength; e.g., Closed: .25*W, .75*wW 1.25*W, i.75*W... Open: .five*W, 1.0*W, 1.v*W, 2.0*W, ...
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An organ pipage which is closed at ane end will resonate if its length is equal to 1-half of the wavelength of the audio in the piping.
Answer: B
Information technology will resonate if the length is equal to the one-quaternary (or three-fourths, or five-fourths or ...) the wavelength of the sound wave.
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43. A 20.0-cm long pipage is covered at one end in gild to create a closed-end air column. A
vibrating tuning fork is held most its open up stop, forcing the air to vibrate in its first harmonic. The wavelength of the standing moving ridge pattern is ____.
a. 5.00 cm | b. x.0 cm | c. xx.0 cm | d. 40.0 cm | e. eighty.0 cm |
Reply: Due east
This is a closed-end air cavalcade. If you draw the continuing wave design for the first harmonic, you will notice that the wavelength is four times the length of the air column. Thus take the length of 20.0 cm and multiply by four.
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44.
A stretched string vibrates with a fundamental frequency of 100. Hz. The frequency of the second harmonic is ____.
a. 25.0 Hz | b. 50.0 Hz | c. 100. Hz | d. 200. Hz | due east. 400. Hz |
Answer: D
The frequency of the nth harmonic is n times the frequency of the first harmonic where n is an integer. Thus, f2 = 2*f1 = two*100. Hz = 200. Hz.
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45.
A 40.-cm long plastic tube is open at both ends and resonating in its first harmonic. The wavelength of the sound which will produce this resonance is ____.
a. x. cm | b. 20. cm | c. twoscore. cm | d. 80. cm | e. 160 cm |
Answer: D
For an open-end air column, the length of the cavalcade is 0.5*wavelength. This becomes evident after cartoon the continuing wave blueprint for this harmonic. Then, plug in 40. cm for length and summate the wavelength.
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46.
The diagrams below represent four different standing wave patterns in air columns of the same length. Which of the columns is/are vibrating at its/their central frequency? Include all that apply.
Respond: CD
The fundamental frequency is the everyman possible frequency for that instrument, and thus the longest possible wavelength. For open tubes, at that place would be anti-nodes on each end and a node in the centre. For closed end tubes, there would be a node on the closed end, an anti-node on the open up end, and nothing in the centre. Diagram C is the third harmonic for a closed end tube and diagram D is the second harmonic for an open-end tube.
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47.
The diagrams above (Question #46) represent 4 different standing wave patterns in air columns of equal length. Which of the columns will produce the note having the highest pitch?
a. A | b. B | c. C | d. D |
east. All column produce notes having the same pitch |
Answer: D
Just look at the wave patterns and notice that the shortest wavelength is in diagram D and so it must have the highest frequency or pitch.
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48.
An air column airtight at ane finish filled with air resonates with a 200.-Hz tuning fork. The resonant length corresponding to the beginning harmonic is 42.5 cm. The speed of the sound must be ____.
a. 85.0 thousand/due south | b. 170. one thousand/due south | c. 340. m/s | d. 470. m/southward | e. 940 m/s |
Reply: C
Depict the standing wave pattern for the first harmonic of a closed-stop tube to assist with the length-wavelength relation. Then, L=0.425 m and then w=1.70 m. Since f is given as 200. Hz, the speed can be calculated every bit f*west or 200. Hz*1.7 thousand. The speed of sound is 340 m/s.
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A violinist plays a note whose fundamental frequency is 220 Hz. The third harmonic of that note is 800 Hz.
Answer: B
The frequency of the norththursday harmonic is n times the frequency of the first harmonic where n is an integer. Thus, f3 = 3*fi = iii*220 Hz = 660 Hz.
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50.
In lodge for two audio waves to produce audible beats, it is essential that the two waves take ____.
a. the aforementioned amplitude | b. the aforementioned frequency |
c. the aforementioned number of overtones | d. slightly different amplitudes |
eastward. slightly different frequencies |
Respond: E
Beats occur whenever two sound sources emit sounds of slightly different frequencies. Possibly you recall the demonstration in class with the two tuning forks of slightly dissimilar frequencies.
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51. True or FALSE:
2 tuning forks with frequencies of 256 Hz and 258 Hz are sounded at the same time. Beats are observed; 2 beats volition be heard in ii s.
Answer: B
Beats occur whenever 2 audio sources emit sounds of slightly different frequencies. The vanquish frequency is just the difference in frequency of the 2 sources. In this instance, the trounce frequency would be 2.0 Hz, which ways that ii beats would be heard every 1 2nd or four beats every ii seconds.
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52. A tuning fork of frequency 384 Hz is sounded at the same time as a guitar string. Beats are observed; exactly thirty beats are heard in x.0 s. The frequency of the string in hertz is ____.
a. 38.4 | b. 354 or 414 | c. 369 or 399 | d. 374 or 394 | e. 381 or 387 |
Answer: East
Beats occur whenever two sound sources emit sounds of slightly dissimilar frequencies. The beat frequency is just the divergence in frequency of the two sources. In this case, the beat frequency is given as 3.00 Hz, which means that the second source must accept a frequency of either 3.00 Hz higher up or 3.00 Hz below the showtime source - either 381 Hz or 387 Hz.
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