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 8 Hz and its wavelength is 2.7 m.
0.34 m/sec
2.96 m/sec
10.7 m/sec
21.6 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?
10.8 meters
5.40 meters
1.35 meters
2.70 meters
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Question 3
A string vibrates at 526 Hz with a wavelength of 2.7 meters. If the wavelength is shortened by 0.675 meters, what is its new frequency?
779 Hz
395 Hz
701 Hz
2104 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 0.8-meter string when its frequency is 526 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
789 Hz
175 Hz
1578 Hz
842 Hz
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Question 5
The speed of sound inside a 0.68-meter long open-closed tube (fixed-free) is 347.2 m/sec.What are its first three resonate frequencies?
255 Hz, 766 Hz, 1276 Hz
128 Hz, 255 Hz, 383 Hz
128 Hz, 383 Hz, 638 Hz
255 Hz, 511 Hz, 766 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?
128 Hz, 255 Hz, 383 Hz
255 Hz, 511 Hz, 766 Hz
255 Hz, 766 Hz, 1276 Hz
128 Hz, 383 Hz, 638 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 255 Hz, if the resonating dimension is 0.34 meters and the wave speed is 347.2 m/s, what type of standing wave is being created?
fixed-free
free-free
cannot be determined
fixed-fixed
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.7 meters deep if sound is resonating at 526 Hz?
1065 m/sec
710 m/sec
1420 m/sec
355 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton