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 8 Hz and its wavelength is 2.9 m.
0.36 m/sec
23.2 m/sec
2.76 m/sec
10.9 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?
11.6 meters
5.80 meters
1.45 meters
2.90 meters
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Question 3
A string vibrates at 591 Hz with a wavelength of 2.9 meters. If the wavelength is shortened by 0.725 meters, what is its new frequency?
788 Hz
2364 Hz
815 Hz
443 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.8-meter string when its frequency is 591 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
887 Hz
946 Hz
1773 Hz
197 Hz
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Question 5
The speed of sound inside a 0.41-meter long open-closed tube (fixed-free) is 348.4 m/sec.What are its first three resonate frequencies?
212 Hz, 637 Hz, 1062 Hz
425 Hz, 850 Hz, 1275 Hz
212 Hz, 425 Hz, 637 Hz
425 Hz, 1275 Hz, 2124 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?
212 Hz, 425 Hz, 637 Hz
425 Hz, 1275 Hz, 2124 Hz
425 Hz, 850 Hz, 1275 Hz
212 Hz, 637 Hz, 1062 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 425 Hz, if the resonating dimension is 0.205 meters and the wave speed is 348.4 m/s, what type of standing wave is being created?
fixed-fixed
cannot be determined
free-free
fixed-free
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.9 meters deep if sound is resonating at 591 Hz?
1714 m/sec
428 m/sec
1285 m/sec
857 m/sec
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