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 2.1 m.
0.21 m/sec
4.76 m/sec
12.1 m/sec
21.0 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?
1.05 meters
4.20 meters
10.5 meters
2.10 meters
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Question 3
A string vibrates at 582 Hz with a wavelength of 2.1 meters. If the wavelength is shortened by 0.525 meters, what is its new frequency?
776 Hz
2328 Hz
437 Hz
1109 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 582 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1164 Hz
194 Hz
873 Hz
1746 Hz
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Question 5
The speed of sound inside a 0.75-meter long open-closed tube (fixed-free) is 343.6 m/sec.What are its first three resonate frequencies?
229 Hz, 458 Hz, 687 Hz
115 Hz, 229 Hz, 344 Hz
229 Hz, 687 Hz, 1145 Hz
115 Hz, 344 Hz, 573 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?
115 Hz, 229 Hz, 344 Hz
229 Hz, 458 Hz, 687 Hz
229 Hz, 687 Hz, 1145 Hz
115 Hz, 344 Hz, 573 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 229 Hz, if the resonating dimension is 0.375 meters and the wave speed is 343.6 m/s, what type of standing wave is being created?
free-free
fixed-fixed
fixed-free
cannot be determined
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.1 meters deep if sound is resonating at 582 Hz?
611 m/sec
917 m/sec
306 m/sec
1222 m/sec
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William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton