Practice Problems
Assorted Resonance
Directions:
On this worksheet you will be investigating examples of resonance.
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Question 1
What is the wave speed of a wave traveling through a long spring if its frequency is 7 Hz and its wavelength is 1.8 m.
12.6 m/sec
3.89 m/sec
0.26 m/sec
8.8 m/sec
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Question 2
Given that the spring in
Question 1
does not change, what would be the wave's new wavelength if the frequency of oscillation were to be doubled?
3.60 meters
6.3 meters
1.80 meters
0.90 meters
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Question 3
A string vibrates at 527 Hz with a wavelength of 1.8 meters. If the wavelength is shortened by 0.45 meters, what is its new frequency?
1171 Hz
2108 Hz
395 Hz
703 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.7-meter string when its frequency is 527 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1581 Hz
738 Hz
790 Hz
176 Hz
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Question 5
The speed of sound inside a 0.76-meter long open-closed tube (fixed-free) is 341.8 m/sec.What are its first three resonate frequencies?
112 Hz, 225 Hz, 337 Hz
225 Hz, 675 Hz, 1124 Hz
112 Hz, 337 Hz, 562 Hz
225 Hz, 450 Hz, 675 Hz
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Question 6
If the tube in
Question 5
was now opened on both ends (free-free), what would be its new first three resonate frequencies?
112 Hz, 337 Hz, 562 Hz
225 Hz, 675 Hz, 1124 Hz
225 Hz, 450 Hz, 675 Hz
112 Hz, 225 Hz, 337 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 225 Hz, if the resonating dimension is 0.38 meters and the wave speed is 341.8 m/s, what type of standing wave is being created?
cannot be determined
fixed-fixed
free-free
fixed-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 1.8 meters deep if sound is resonating at 527 Hz?
237 m/sec
474 m/sec
949 m/sec
711 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton