Practice Problems
Assorted Resonance
Topics:
On this worksheet you will be investigating examples of resonance states set up in strings, springs, tubes, and a conch shell.
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Question 1
What is the wave speed of a wave traveling through a long spring if its frequency is 12 Hz and its wavelength is 2.6 m.
0.22 m/sec
31.2 m/sec
4.62 m/sec
14.6 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?
2.60 meters
15.6 meters
5.20 meters
1.30 meters
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Question 3
A string vibrates at 607 Hz with a wavelength of 2.6 meters. If the wavelength is shortened by 0.65 meters, what is its new frequency?
809 Hz
934 Hz
2428 Hz
455 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.2-meter string when its frequency is 607 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
911 Hz
202 Hz
1457 Hz
1821 Hz
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Question 5
The speed of sound inside a 0.54-meter long open-closed tube (fixed-free) is 346.6 m/sec.What are its first three resonate frequencies?
321 Hz, 963 Hz, 1605 Hz
321 Hz, 642 Hz, 963 Hz
160 Hz, 321 Hz, 481 Hz
160 Hz, 481 Hz, 802 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?
321 Hz, 963 Hz, 1605 Hz
160 Hz, 321 Hz, 481 Hz
321 Hz, 642 Hz, 963 Hz
160 Hz, 481 Hz, 802 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 321 Hz, if the resonating dimension is 0.27 meters and the wave speed is 346.6 m/s, what type of standing wave is being created?
fixed-free
cannot be determined
fixed-fixed
free-free
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.6 meters deep if sound is resonating at 607 Hz?
1184 m/sec
395 m/sec
789 m/sec
1578 m/sec
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