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 m.
5.00 m/sec
12.0 m/sec
0.20 m/sec
20.0 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?
4.00 meters
1.00 meters
2.00 meters
10.0 meters
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Question 3
A string vibrates at 577 Hz with a wavelength of 2 meters. If the wavelength is shortened by 0.5 meters, what is its new frequency?
1154 Hz
433 Hz
2308 Hz
769 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1-meter string when its frequency is 577 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1154 Hz
1731 Hz
192 Hz
866 Hz
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Question 5
The speed of sound inside a 0.57-meter long open-closed tube (fixed-free) is 343 m/sec.What are its first three resonate frequencies?
150 Hz, 301 Hz, 451 Hz
150 Hz, 451 Hz, 752 Hz
301 Hz, 903 Hz, 1504 Hz
301 Hz, 602 Hz, 903 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?
150 Hz, 451 Hz, 752 Hz
150 Hz, 301 Hz, 451 Hz
301 Hz, 903 Hz, 1504 Hz
301 Hz, 602 Hz, 903 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 301 Hz, if the resonating dimension is 0.285 meters and the wave speed is 343 m/s, what type of standing wave is being created?
cannot be determined
fixed-free
fixed-fixed
free-free
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Question 8
What is the speed of sound in a chamber (fixed-free) that is 2 meters deep if sound is resonating at 577 Hz?
289 m/sec
1154 m/sec
866 m/sec
577 m/sec
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William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton