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 2.3 m.
3.48 m/sec
18.4 m/sec
10.3 m/sec
0.29 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?
2.30 meters
9.2 meters
4.60 meters
1.15 meters
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Question 3
A string vibrates at 508 Hz with a wavelength of 2.3 meters. If the wavelength is shortened by 0.575 meters, what is its new frequency?
883 Hz
677 Hz
381 Hz
2032 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 508 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
169 Hz
813 Hz
762 Hz
1524 Hz
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Question 5
The speed of sound inside a 0.39-meter long open-closed tube (fixed-free) is 344.8 m/sec.What are its first three resonate frequencies?
221 Hz, 663 Hz, 1105 Hz
442 Hz, 1326 Hz, 2210 Hz
221 Hz, 442 Hz, 663 Hz
442 Hz, 884 Hz, 1326 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?
442 Hz, 1326 Hz, 2210 Hz
442 Hz, 884 Hz, 1326 Hz
221 Hz, 663 Hz, 1105 Hz
221 Hz, 442 Hz, 663 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 442 Hz, if the resonating dimension is 0.195 meters and the wave speed is 344.8 m/s, what type of standing wave is being created?
fixed-fixed
cannot be determined
free-free
fixed-free
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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 508 Hz?
876 m/sec
292 m/sec
584 m/sec
1168 m/sec
Copyright © 2007-2019
William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton