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 1.9 m.
13.9 m/sec
22.8 m/sec
0.16 m/sec
6.32 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?
0.95 meters
11.4 meters
3.80 meters
1.90 meters
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Question 3
A string vibrates at 274 Hz with a wavelength of 1.9 meters. If the wavelength is shortened by 0.475 meters, what is its new frequency?
1096 Hz
365 Hz
206 Hz
577 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 274 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
822 Hz
411 Hz
91 Hz
658 Hz
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Question 5
The speed of sound inside a 0.39-meter long open-closed tube (fixed-free) is 342.4 m/sec.What are its first three resonate frequencies?
439 Hz, 878 Hz, 1317 Hz
219 Hz, 439 Hz, 658 Hz
219 Hz, 658 Hz, 1097 Hz
439 Hz, 1317 Hz, 2195 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?
219 Hz, 439 Hz, 658 Hz
439 Hz, 878 Hz, 1317 Hz
439 Hz, 1317 Hz, 2195 Hz
219 Hz, 658 Hz, 1097 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 439 Hz, if the resonating dimension is 0.195 meters and the wave speed is 342.4 m/s, what type of standing wave is being created?
cannot be determined
free-free
fixed-fixed
fixed-free
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 1.9 meters deep if sound is resonating at 274 Hz?
260 m/sec
390 m/sec
521 m/sec
130 m/sec
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