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 7 Hz and its wavelength is 2.1 m.
0.30 m/sec
9.1 m/sec
3.33 m/sec
14.7 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?
4.20 meters
1.05 meters
7.4 meters
2.10 meters
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Question 3
A string vibrates at 311 Hz with a wavelength of 2.1 meters. If the wavelength is shortened by 0.525 meters, what is its new frequency?
592 Hz
415 Hz
233 Hz
1244 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 311 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
933 Hz
104 Hz
435 Hz
466 Hz
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Question 5
The speed of sound inside a 0.76-meter long open-closed tube (fixed-free) is 343.6 m/sec.What are its first three resonate frequencies?
113 Hz, 226 Hz, 339 Hz
226 Hz, 452 Hz, 678 Hz
226 Hz, 678 Hz, 1130 Hz
113 Hz, 339 Hz, 565 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?
113 Hz, 339 Hz, 565 Hz
226 Hz, 452 Hz, 678 Hz
113 Hz, 226 Hz, 339 Hz
226 Hz, 678 Hz, 1130 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 226 Hz, if the resonating dimension is 0.38 meters and the wave speed is 343.6 m/s, what type of standing wave is being created?
cannot be determined
free-free
fixed-fixed
fixed-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.1 meters deep if sound is resonating at 311 Hz?
163 m/sec
653 m/sec
327 m/sec
490 m/sec
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William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton