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 11 Hz and its wavelength is 1.9 m.
0.17 m/sec
20.9 m/sec
12.9 m/sec
5.79 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?
1.90 meters
3.80 meters
0.95 meters
10.5 meters
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Question 3
A string vibrates at 259 Hz with a wavelength of 1.9 meters. If the wavelength is shortened by 0.475 meters, what is its new frequency?
1036 Hz
345 Hz
194 Hz
545 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.1-meter string when its frequency is 259 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
777 Hz
389 Hz
86 Hz
570 Hz
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Question 5
The speed of sound inside a 0.41-meter long open-closed tube (fixed-free) is 342.4 m/sec.What are its first three resonate frequencies?
418 Hz, 835 Hz, 1253 Hz
209 Hz, 418 Hz, 626 Hz
418 Hz, 1253 Hz, 2088 Hz
209 Hz, 626 Hz, 1044 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?
418 Hz, 835 Hz, 1253 Hz
209 Hz, 418 Hz, 626 Hz
418 Hz, 1253 Hz, 2088 Hz
209 Hz, 626 Hz, 1044 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 418 Hz, if the resonating dimension is 0.205 meters and the wave speed is 342.4 m/s, what type of standing wave is being created?
free-free
fixed-fixed
fixed-free
cannot be determined
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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 259 Hz?
246 m/sec
369 m/sec
492 m/sec
123 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton