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 8 Hz and its wavelength is 2.4 m.
10.4 m/sec
19.2 m/sec
3.33 m/sec
0.30 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?
1.20 meters
4.80 meters
2.40 meters
9.6 meters
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Question 3
A string vibrates at 440 Hz with a wavelength of 2.4 meters. If the wavelength is shortened by 0.6 meters, what is its new frequency?
733 Hz
1760 Hz
587 Hz
330 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.8-meter string when its frequency is 440 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
704 Hz
147 Hz
660 Hz
1320 Hz
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Question 5
The speed of sound inside a 0.36-meter long open-closed tube (fixed-free) is 345.4 m/sec.What are its first three resonate frequencies?
240 Hz, 480 Hz, 720 Hz
240 Hz, 720 Hz, 1199 Hz
480 Hz, 959 Hz, 1439 Hz
480 Hz, 1439 Hz, 2399 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?
480 Hz, 959 Hz, 1439 Hz
240 Hz, 720 Hz, 1199 Hz
480 Hz, 1439 Hz, 2399 Hz
240 Hz, 480 Hz, 720 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 480 Hz, if the resonating dimension is 0.18 meters and the wave speed is 345.4 m/s, what type of standing wave is being created?
fixed-free
fixed-fixed
free-free
cannot be determined
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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 440 Hz?
264 m/sec
1056 m/sec
528 m/sec
792 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton