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 14 Hz and its wavelength is 2.7 m.
37.8 m/sec
16.7 m/sec
5.19 m/sec
0.19 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?
2.70 meters
1.35 meters
18.9 meters
5.40 meters
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Question 3
A string vibrates at 413 Hz with a wavelength of 2.7 meters. If the wavelength is shortened by 0.675 meters, what is its new frequency?
310 Hz
612 Hz
1652 Hz
551 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.4-meter string when its frequency is 413 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
138 Hz
1156 Hz
1239 Hz
620 Hz
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Question 5
The speed of sound inside a 0.7-meter long open-closed tube (fixed-free) is 347.2 m/sec.What are its first three resonate frequencies?
124 Hz, 372 Hz, 620 Hz
248 Hz, 496 Hz, 744 Hz
124 Hz, 248 Hz, 372 Hz
248 Hz, 744 Hz, 1240 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?
248 Hz, 744 Hz, 1240 Hz
124 Hz, 372 Hz, 620 Hz
248 Hz, 496 Hz, 744 Hz
124 Hz, 248 Hz, 372 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 248 Hz, if the resonating dimension is 0.35 meters and the wave speed is 347.2 m/s, what type of standing wave is being created?
fixed-free
free-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 2.7 meters deep if sound is resonating at 413 Hz?
558 m/sec
836 m/sec
1115 m/sec
279 m/sec
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William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton