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 13 Hz and its wavelength is 2.8 m.
15.8 m/sec
4.64 m/sec
36.4 m/sec
0.22 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?
1.40 meters
5.60 meters
2.80 meters
18.2 meters
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Question 3
A string vibrates at 531 Hz with a wavelength of 2.8 meters. If the wavelength is shortened by 0.7 meters, what is its new frequency?
398 Hz
759 Hz
2124 Hz
708 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 531 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
797 Hz
177 Hz
1593 Hz
1381 Hz
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Question 5
The speed of sound inside a 0.47-meter long open-closed tube (fixed-free) is 347.8 m/sec.What are its first three resonate frequencies?
370 Hz, 1110 Hz, 1850 Hz
185 Hz, 555 Hz, 925 Hz
185 Hz, 370 Hz, 555 Hz
370 Hz, 740 Hz, 1110 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?
185 Hz, 370 Hz, 555 Hz
370 Hz, 740 Hz, 1110 Hz
370 Hz, 1110 Hz, 1850 Hz
185 Hz, 555 Hz, 925 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 370 Hz, if the resonating dimension is 0.235 meters and the wave speed is 347.8 m/s, what type of standing wave is being created?
fixed-fixed
free-free
cannot be determined
fixed-free
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.8 meters deep if sound is resonating at 531 Hz?
1487 m/sec
372 m/sec
743 m/sec
1115 m/sec
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