Practice Problems
Assorted Resonance
Topics:
On this worksheet you will be investigating examples of resonance states set up in strings, springs, tubes, and a conch shell.
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Question 1
What is the wave speed of a wave traveling through a long spring if its frequency is 11 Hz and its wavelength is 2.8 m.
13.8 m/sec
0.25 m/sec
30.8 m/sec
3.93 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?
1.40 meters
5.60 meters
2.80 meters
15.4 meters
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Question 3
A string vibrates at 560 Hz with a wavelength of 2.8 meters. If the wavelength is shortened by 0.7 meters, what is its new frequency?
2240 Hz
800 Hz
747 Hz
420 Hz
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Question 4
A fundamental fixed-fixed standing wave is generated along a 1.1-meter string when its frequency is 560 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
1232 Hz
840 Hz
1680 Hz
187 Hz
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Question 5
The speed of sound inside a 0.51-meter long open-closed tube (fixed-free) is 347.8 m/sec.What are its first three resonate frequencies?
341 Hz, 682 Hz, 1023 Hz
341 Hz, 1023 Hz, 1705 Hz
170 Hz, 511 Hz, 852 Hz
170 Hz, 341 Hz, 511 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?
341 Hz, 682 Hz, 1023 Hz
170 Hz, 511 Hz, 852 Hz
170 Hz, 341 Hz, 511 Hz
341 Hz, 1023 Hz, 1705 Hz
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Question 7
The lowest frequency that a conch shell is able to produce is 341 Hz, if the resonating dimension is 0.255 meters and the wave speed is 347.8 m/s, what type of standing wave is being created?
free-free
fixed-free
fixed-fixed
cannot be determined
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 2.8 meters deep if sound is resonating at 560 Hz?
784 m/sec
1568 m/sec
392 m/sec
1176 m/sec
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