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 9 Hz and its wavelength is 1.8 m.
10.8 m/sec
5.00 m/sec
16.2 m/sec
0.20 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?
8.1 meters
1.80 meters
0.90 meters
3.60 meters
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Question 3
A string vibrates at 424 Hz with a wavelength of 1.8 meters. If the wavelength is shortened by 0.45 meters, what is its new frequency?
318 Hz
565 Hz
1696 Hz
942 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 424 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
763 Hz
636 Hz
141 Hz
1272 Hz
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Question 5
The speed of sound inside a 0.52-meter long open-closed tube (fixed-free) is 341.8 m/sec.What are its first three resonate frequencies?
329 Hz, 986 Hz, 1643 Hz
329 Hz, 657 Hz, 986 Hz
164 Hz, 493 Hz, 822 Hz
164 Hz, 329 Hz, 493 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?
329 Hz, 986 Hz, 1643 Hz
329 Hz, 657 Hz, 986 Hz
164 Hz, 329 Hz, 493 Hz
164 Hz, 493 Hz, 822 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 329 Hz, if the resonating dimension is 0.26 meters and the wave speed is 341.8 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 1.8 meters deep if sound is resonating at 424 Hz?
763 m/sec
191 m/sec
572 m/sec
382 m/sec
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William A. Hilburn
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Application Programmer
Mark Acton