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 9 Hz and its wavelength is 2.5 m.
0.28 m/sec
3.60 m/sec
22.5 m/sec
11.5 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?
5.00 meters
1.25 meters
2.50 meters
11.3 meters
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Question 3
A string vibrates at 575 Hz with a wavelength of 2.5 meters. If the wavelength is shortened by 0.625 meters, what is its new frequency?
767 Hz
920 Hz
2300 Hz
431 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.9-meter string when its frequency is 575 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1725 Hz
1035 Hz
863 Hz
192 Hz
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Question 5
The speed of sound inside a 0.35-meter long open-closed tube (fixed-free) is 346 m/sec.What are its first three resonate frequencies?
247 Hz, 494 Hz, 741 Hz
247 Hz, 741 Hz, 1236 Hz
494 Hz, 1483 Hz, 2471 Hz
494 Hz, 989 Hz, 1483 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?
247 Hz, 494 Hz, 741 Hz
247 Hz, 741 Hz, 1236 Hz
494 Hz, 1483 Hz, 2471 Hz
494 Hz, 989 Hz, 1483 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 494 Hz, if the resonating dimension is 0.175 meters and the wave speed is 346 m/s, what type of standing wave is being created?
cannot be determined
fixed-free
free-free
fixed-fixed
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.5 meters deep if sound is resonating at 575 Hz?
1078 m/sec
1438 m/sec
359 m/sec
719 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton