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 12 Hz and its wavelength is 1.8 m.
6.67 m/sec
21.6 m/sec
13.8 m/sec
0.15 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?
10.8 meters
0.90 meters
3.60 meters
1.80 meters
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Question 3
A string vibrates at 325 Hz with a wavelength of 1.8 meters. If the wavelength is shortened by 0.45 meters, what is its new frequency?
722 Hz
1300 Hz
433 Hz
244 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.2-meter string when its frequency is 325 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
488 Hz
780 Hz
108 Hz
975 Hz
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Question 5
The speed of sound inside a 0.59-meter long open-closed tube (fixed-free) is 341.8 m/sec.What are its first three resonate frequencies?
290 Hz, 579 Hz, 869 Hz
290 Hz, 869 Hz, 1448 Hz
145 Hz, 290 Hz, 434 Hz
145 Hz, 434 Hz, 724 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?
145 Hz, 290 Hz, 434 Hz
290 Hz, 579 Hz, 869 Hz
145 Hz, 434 Hz, 724 Hz
290 Hz, 869 Hz, 1448 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 290 Hz, if the resonating dimension is 0.295 meters and the wave speed is 341.8 m/s, what type of standing wave is being created?
fixed-free
fixed-fixed
free-free
cannot be determined
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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 325 Hz?
146 m/sec
439 m/sec
293 m/sec
585 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton