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.
Page Directions
The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
Before beginning any given worksheet, please look over all of the questions and make sure that there are
no duplicate
answers shown for the same question. If duplicates are present simply refresh the page until every answer is unique.
In order to check an answer
(even when you are just starting the worksheet on Question 1)
it is
absolutely necessary
to
any questions that you have not answered. Once you start submitting answers, the page may be checked as many times as necesasary without changing the randomized answers. Relevant scoring will be provided at the top of the page only when you answer all of the questions on your original submission.
omit
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 m.
16.0 m/sec
0.14 m/sec
28.0 m/sec
7.00 m/sec
omit
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?
2.00 meters
14.0 meters
4.00 meters
1.00 meters
omit
Question 3
A string vibrates at 478 Hz with a wavelength of 2 meters. If the wavelength is shortened by 0.5 meters, what is its new frequency?
359 Hz
637 Hz
1912 Hz
956 Hz
omit
Question 4
A fundamental fixed-fixed standing wave is generated along a 1.4-meter string when its frequency is 478 Hz. What would be the frequency of a 3rd harmonic wave generated along this same string?
159 Hz
1434 Hz
1338 Hz
717 Hz
omit
Question 5
The speed of sound inside a 0.65-meter long open-closed tube (fixed-free) is 343 m/sec.What are its first three resonate frequencies?
132 Hz, 396 Hz, 660 Hz
264 Hz, 528 Hz, 792 Hz
132 Hz, 264 Hz, 396 Hz
264 Hz, 792 Hz, 1319 Hz
omit
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?
264 Hz, 792 Hz, 1319 Hz
132 Hz, 264 Hz, 396 Hz
132 Hz, 396 Hz, 660 Hz
264 Hz, 528 Hz, 792 Hz
omit
Question 7
The lowest frequency that a conch shell is able to produce is 264 Hz, if the resonating dimension is 0.325 meters and the wave speed is 343 m/s, what type of standing wave is being created?
fixed-fixed
fixed-free
free-free
cannot be determined
omit
Question 8
What is the speed of sound in a chamber (fixed-free) that is 2 meters deep if sound is resonating at 478 Hz?
717 m/sec
956 m/sec
239 m/sec
478 m/sec
Copyright © 2007-2026
William A. Hilburn
All rights reserved.
Application Programmer
Mark Acton