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 10 Hz and its wavelength is 2.3 m.
0.23 m/sec
4.35 m/sec
23.0 m/sec
12.3 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?
11.5 meters
4.60 meters
1.15 meters
2.30 meters
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Question 3
A string vibrates at 551 Hz with a wavelength of 2.3 meters. If the wavelength is shortened by 0.575 meters, what is its new frequency?
735 Hz
2204 Hz
958 Hz
413 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 551 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
827 Hz
184 Hz
1653 Hz
1102 Hz
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Question 5
The speed of sound inside a 0.7-meter long open-closed tube (fixed-free) is 344.8 m/sec.What are its first three resonate frequencies?
246 Hz, 493 Hz, 739 Hz
123 Hz, 369 Hz, 616 Hz
123 Hz, 246 Hz, 369 Hz
246 Hz, 739 Hz, 1231 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?
123 Hz, 246 Hz, 369 Hz
246 Hz, 739 Hz, 1231 Hz
246 Hz, 493 Hz, 739 Hz
123 Hz, 369 Hz, 616 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 246 Hz, if the resonating dimension is 0.35 meters and the wave speed is 344.8 m/s, what type of standing wave is being created?
free-free
cannot be determined
fixed-free
fixed-fixed
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.3 meters deep if sound is resonating at 551 Hz?
634 m/sec
317 m/sec
1267 m/sec
950 m/sec
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William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton