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 2.6 m.
2.69 m/sec
9.6 m/sec
0.37 m/sec
18.2 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?
1.30 meters
2.60 meters
9.1 meters
5.20 meters
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Question 3
A string vibrates at 480 Hz with a wavelength of 2.6 meters. If the wavelength is shortened by 0.65 meters, what is its new frequency?
360 Hz
738 Hz
640 Hz
1920 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 480 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
160 Hz
720 Hz
672 Hz
1440 Hz
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Question 5
The speed of sound inside a 0.43-meter long open-closed tube (fixed-free) is 346.6 m/sec.What are its first three resonate frequencies?
403 Hz, 806 Hz, 1209 Hz
202 Hz, 403 Hz, 605 Hz
403 Hz, 1209 Hz, 2015 Hz
202 Hz, 605 Hz, 1008 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?
403 Hz, 1209 Hz, 2015 Hz
202 Hz, 605 Hz, 1008 Hz
403 Hz, 806 Hz, 1209 Hz
202 Hz, 403 Hz, 605 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 403 Hz, if the resonating dimension is 0.215 meters and the wave speed is 346.6 m/s, what type of standing wave is being created?
fixed-fixed
cannot be determined
free-free
fixed-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.6 meters deep if sound is resonating at 480 Hz?
936 m/sec
1248 m/sec
312 m/sec
624 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton