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 12 Hz and its wavelength is 2.8 m.
14.8 m/sec
0.23 m/sec
33.6 m/sec
4.29 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?
1.40 meters
5.60 meters
2.80 meters
16.8 meters
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Question 3
A string vibrates at 586 Hz with a wavelength of 2.8 meters. If the wavelength is shortened by 0.7 meters, what is its new frequency?
440 Hz
2344 Hz
837 Hz
781 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 586 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1406 Hz
879 Hz
195 Hz
1758 Hz
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Question 5
The speed of sound inside a 0.61-meter long open-closed tube (fixed-free) is 347.8 m/sec.What are its first three resonate frequencies?
143 Hz, 428 Hz, 713 Hz
285 Hz, 570 Hz, 855 Hz
143 Hz, 285 Hz, 428 Hz
285 Hz, 855 Hz, 1425 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?
285 Hz, 855 Hz, 1425 Hz
285 Hz, 570 Hz, 855 Hz
143 Hz, 428 Hz, 713 Hz
143 Hz, 285 Hz, 428 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 285 Hz, if the resonating dimension is 0.305 meters and the wave speed is 347.8 m/s, what type of standing wave is being created?
fixed-fixed
cannot be determined
fixed-free
free-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.8 meters deep if sound is resonating at 586 Hz?
1231 m/sec
410 m/sec
1641 m/sec
820 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton