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 2.9 m.
0.29 m/sec
29.0 m/sec
3.45 m/sec
12.9 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?
14.5 meters
1.45 meters
2.90 meters
5.80 meters
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Question 3
A string vibrates at 608 Hz with a wavelength of 2.9 meters. If the wavelength is shortened by 0.725 meters, what is its new frequency?
811 Hz
839 Hz
2432 Hz
456 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 608 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
912 Hz
203 Hz
1824 Hz
1216 Hz
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Question 5
The speed of sound inside a 0.62-meter long open-closed tube (fixed-free) is 348.4 m/sec.What are its first three resonate frequencies?
281 Hz, 562 Hz, 843 Hz
281 Hz, 843 Hz, 1405 Hz
140 Hz, 281 Hz, 421 Hz
140 Hz, 421 Hz, 702 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?
140 Hz, 281 Hz, 421 Hz
140 Hz, 421 Hz, 702 Hz
281 Hz, 843 Hz, 1405 Hz
281 Hz, 562 Hz, 843 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 281 Hz, if the resonating dimension is 0.31 meters and the wave speed is 348.4 m/s, what type of standing wave is being created?
free-free
fixed-free
cannot be determined
fixed-fixed
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 608 Hz?
882 m/sec
1322 m/sec
441 m/sec
1763 m/sec
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