Practice Problems
Assorted Resonance
Directions:
On this worksheet you will be investigating examples of resonance.
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Question 1
What is the wave speed of a wave traveling through a long spring if its frequency is 7 Hz and its wavelength is 2.6 m.
9.6 m/sec
18.2 m/sec
2.69 m/sec
0.37 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?
5.20 meters
2.60 meters
1.30 meters
9.1 meters
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Question 3
A string vibrates at 462 Hz with a wavelength of 2.6 meters. If the wavelength is shortened by 0.65 meters, what is its new frequency?
1848 Hz
711 Hz
347 Hz
616 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.7-meter string when its frequency is 462 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1386 Hz
693 Hz
154 Hz
647 Hz
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Question 5
The speed of sound inside a 0.36-meter long open-closed tube (fixed-free) is 346.6 m/sec.What are its first three resonate frequencies?
481 Hz, 963 Hz, 1444 Hz
481 Hz, 1444 Hz, 2407 Hz
241 Hz, 481 Hz, 722 Hz
241 Hz, 722 Hz, 1203 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?
481 Hz, 963 Hz, 1444 Hz
241 Hz, 481 Hz, 722 Hz
481 Hz, 1444 Hz, 2407 Hz
241 Hz, 722 Hz, 1203 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 481 Hz, if the resonating dimension is 0.18 meters and the wave speed is 346.6 m/s, what type of standing wave is being created?
fixed-fixed
free-free
cannot be determined
fixed-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.6 meters deep if sound is resonating at 462 Hz?
601 m/sec
1201 m/sec
901 m/sec
300 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton