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 14 Hz and its wavelength is 2.9 m.
0.21 m/sec
4.83 m/sec
40.6 m/sec
16.9 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?
2.90 meters
20.3 meters
5.80 meters
1.45 meters
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Question 3
A string vibrates at 579 Hz with a wavelength of 2.9 meters. If the wavelength is shortened by 0.725 meters, what is its new frequency?
434 Hz
799 Hz
2316 Hz
772 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.4-meter string when its frequency is 579 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
193 Hz
1621 Hz
1737 Hz
869 Hz
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Question 5
The speed of sound inside a 0.37-meter long open-closed tube (fixed-free) is 348.4 m/sec.What are its first three resonate frequencies?
235 Hz, 706 Hz, 1177 Hz
471 Hz, 1412 Hz, 2354 Hz
471 Hz, 942 Hz, 1412 Hz
235 Hz, 471 Hz, 706 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?
235 Hz, 706 Hz, 1177 Hz
471 Hz, 1412 Hz, 2354 Hz
471 Hz, 942 Hz, 1412 Hz
235 Hz, 471 Hz, 706 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 471 Hz, if the resonating dimension is 0.185 meters and the wave speed is 348.4 m/s, what type of standing wave is being created?
fixed-fixed
free-free
fixed-free
cannot be determined
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.9 meters deep if sound is resonating at 579 Hz?
420 m/sec
1679 m/sec
840 m/sec
1259 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton