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 10 Hz and its wavelength is 1.8 m.
0.18 m/sec
18.0 m/sec
5.56 m/sec
11.8 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?
9.0 meters
1.80 meters
3.60 meters
0.90 meters
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Question 3
A string vibrates at 283 Hz with a wavelength of 1.8 meters. If the wavelength is shortened by 0.45 meters, what is its new frequency?
377 Hz
629 Hz
212 Hz
1132 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 283 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
425 Hz
566 Hz
94 Hz
849 Hz
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Question 5
The speed of sound inside a 0.73-meter long open-closed tube (fixed-free) is 341.8 m/sec.What are its first three resonate frequencies?
234 Hz, 702 Hz, 1171 Hz
117 Hz, 234 Hz, 351 Hz
234 Hz, 468 Hz, 702 Hz
117 Hz, 351 Hz, 585 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?
117 Hz, 351 Hz, 585 Hz
234 Hz, 468 Hz, 702 Hz
117 Hz, 234 Hz, 351 Hz
234 Hz, 702 Hz, 1171 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 234 Hz, if the resonating dimension is 0.365 meters and the wave speed is 341.8 m/s, what type of standing wave is being created?
fixed-free
fixed-fixed
free-free
cannot be determined
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 1.8 meters deep if sound is resonating at 283 Hz?
127 m/sec
382 m/sec
255 m/sec
509 m/sec
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