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 10 Hz and its wavelength is 2.7 m.
0.27 m/sec
12.7 m/sec
27.0 m/sec
3.70 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?
2.70 meters
1.35 meters
5.40 meters
13.5 meters
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Question 3
A string vibrates at 613 Hz with a wavelength of 2.7 meters. If the wavelength is shortened by 0.675 meters, what is its new frequency?
817 Hz
460 Hz
2452 Hz
908 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 613 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1839 Hz
204 Hz
920 Hz
1226 Hz
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Question 5
The speed of sound inside a 0.57-meter long open-closed tube (fixed-free) is 347.2 m/sec.What are its first three resonate frequencies?
305 Hz, 609 Hz, 914 Hz
152 Hz, 305 Hz, 457 Hz
152 Hz, 457 Hz, 761 Hz
305 Hz, 914 Hz, 1523 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?
152 Hz, 457 Hz, 761 Hz
152 Hz, 305 Hz, 457 Hz
305 Hz, 914 Hz, 1523 Hz
305 Hz, 609 Hz, 914 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 305 Hz, if the resonating dimension is 0.285 meters and the wave speed is 347.2 m/s, what type of standing wave is being created?
cannot be determined
free-free
fixed-fixed
fixed-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.7 meters deep if sound is resonating at 613 Hz?
828 m/sec
1655 m/sec
1241 m/sec
414 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton