Practice Problems
Assorted Resonance
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Question 1
What is the wave speed of a wave traveling through a long spring if its frequency is 9 Hz and its wavelength is 2.2 m.
11.2 m/sec
19.8 m/sec
4.09 m/sec
0.24 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?
9.9 meters
1.10 meters
2.20 meters
4.40 meters
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Question 3
A string vibrates at 489 Hz with a wavelength of 2.2 meters. If the wavelength is shortened by 0.55 meters, what is its new frequency?
367 Hz
889 Hz
652 Hz
1956 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.9-meter string when its frequency is 489 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
734 Hz
163 Hz
880 Hz
1467 Hz
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Question 5
The speed of sound inside a 0.47-meter long open-closed tube (fixed-free) is 344.2 m/sec.What are its first three resonate frequencies?
366 Hz, 1099 Hz, 1831 Hz
183 Hz, 549 Hz, 915 Hz
366 Hz, 732 Hz, 1099 Hz
183 Hz, 366 Hz, 549 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?
183 Hz, 366 Hz, 549 Hz
366 Hz, 732 Hz, 1099 Hz
366 Hz, 1099 Hz, 1831 Hz
183 Hz, 549 Hz, 915 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 366 Hz, if the resonating dimension is 0.235 meters and the wave speed is 344.2 m/s, what type of standing wave is being created?
fixed-free
cannot be determined
fixed-fixed
free-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.2 meters deep if sound is resonating at 489 Hz?
807 m/sec
1076 m/sec
269 m/sec
538 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton