Practice Problems
Assorted 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 2.9 m.
9.9 m/sec
2.41 m/sec
0.41 m/sec
20.3 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?
1.45 meters
2.90 meters
5.80 meters
10.2 meters
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Question 3
A string vibrates at 436 Hz with a wavelength of 2.9 meters. If the wavelength is shortened by 0.725 meters, what is its new frequency?
1744 Hz
581 Hz
601 Hz
327 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 436 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
610 Hz
654 Hz
1308 Hz
145 Hz
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Question 5
The speed of sound inside a 0.49-meter long open-closed tube (fixed-free) is 348.4 m/sec.What are its first three resonate frequencies?
356 Hz, 711 Hz, 1067 Hz
356 Hz, 1067 Hz, 1778 Hz
178 Hz, 533 Hz, 889 Hz
178 Hz, 356 Hz, 533 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?
356 Hz, 711 Hz, 1067 Hz
356 Hz, 1067 Hz, 1778 Hz
178 Hz, 356 Hz, 533 Hz
178 Hz, 533 Hz, 889 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 356 Hz, if the resonating dimension is 0.245 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
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.9 meters deep if sound is resonating at 436 Hz?
632 m/sec
948 m/sec
316 m/sec
1264 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton