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 13 Hz and its wavelength is 2 m.
0.15 m/sec
15.0 m/sec
6.50 m/sec
26.0 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?
13.0 meters
4.00 meters
2.00 meters
1.00 meters
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Question 3
A string vibrates at 335 Hz with a wavelength of 2 meters. If the wavelength is shortened by 0.5 meters, what is its new frequency?
670 Hz
251 Hz
1340 Hz
447 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.3-meter string when its frequency is 335 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1005 Hz
871 Hz
503 Hz
112 Hz
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Question 5
The speed of sound inside a 0.62-meter long open-closed tube (fixed-free) is 343 m/sec.What are its first three resonate frequencies?
138 Hz, 277 Hz, 415 Hz
277 Hz, 553 Hz, 830 Hz
138 Hz, 415 Hz, 692 Hz
277 Hz, 830 Hz, 1383 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?
138 Hz, 415 Hz, 692 Hz
138 Hz, 277 Hz, 415 Hz
277 Hz, 553 Hz, 830 Hz
277 Hz, 830 Hz, 1383 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 277 Hz, if the resonating dimension is 0.31 meters and the wave speed is 343 m/s, what type of standing wave is being created?
cannot be determined
fixed-fixed
fixed-free
free-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2 meters deep if sound is resonating at 335 Hz?
168 m/sec
335 m/sec
503 m/sec
670 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton