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 7 Hz and its wavelength is 2.4 m.
9.4 m/sec
16.8 m/sec
2.92 m/sec
0.34 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?
4.80 meters
2.40 meters
1.20 meters
8.4 meters
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Question 3
A string vibrates at 581 Hz with a wavelength of 2.4 meters. If the wavelength is shortened by 0.6 meters, what is its new frequency?
968 Hz
2324 Hz
775 Hz
436 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.7-meter string when its frequency is 581 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1743 Hz
813 Hz
872 Hz
194 Hz
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Question 5
The speed of sound inside a 0.59-meter long open-closed tube (fixed-free) is 345.4 m/sec.What are its first three resonate frequencies?
146 Hz, 293 Hz, 439 Hz
146 Hz, 439 Hz, 732 Hz
293 Hz, 878 Hz, 1464 Hz
293 Hz, 585 Hz, 878 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?
146 Hz, 439 Hz, 732 Hz
146 Hz, 293 Hz, 439 Hz
293 Hz, 878 Hz, 1464 Hz
293 Hz, 585 Hz, 878 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 293 Hz, if the resonating dimension is 0.295 meters and the wave speed is 345.4 m/s, what type of standing wave is being created?
cannot be determined
fixed-free
free-free
fixed-fixed
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.4 meters deep if sound is resonating at 581 Hz?
1394 m/sec
697 m/sec
1046 m/sec
349 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton