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 1.9 m.
22.8 m/sec
13.9 m/sec
0.16 m/sec
6.32 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?
0.95 meters
11.4 meters
1.90 meters
3.80 meters
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Question 3
A string vibrates at 459 Hz with a wavelength of 1.9 meters. If the wavelength is shortened by 0.475 meters, what is its new frequency?
612 Hz
1836 Hz
966 Hz
344 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 459 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
689 Hz
1102 Hz
153 Hz
1377 Hz
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Question 5
The speed of sound inside a 0.35-meter long open-closed tube (fixed-free) is 342.4 m/sec.What are its first three resonate frequencies?
489 Hz, 1467 Hz, 2446 Hz
245 Hz, 489 Hz, 734 Hz
489 Hz, 978 Hz, 1467 Hz
245 Hz, 734 Hz, 1223 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?
245 Hz, 489 Hz, 734 Hz
489 Hz, 978 Hz, 1467 Hz
245 Hz, 734 Hz, 1223 Hz
489 Hz, 1467 Hz, 2446 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 489 Hz, if the resonating dimension is 0.175 meters and the wave speed is 342.4 m/s, what type of standing wave is being created?
fixed-free
cannot be determined
free-free
fixed-fixed
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 1.9 meters deep if sound is resonating at 459 Hz?
872 m/sec
654 m/sec
436 m/sec
218 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton