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WorksheetsWaves and Harmonics
Total questions: 10
Worksheet time: 6mins
Name
Class
Date
1.
When a guitar is tuned to adjust its pitch, what is it that is changed?
a)
The wavelength of the fundamental.
b)
The frequency of the fundamental.
c)
The amplitude of the fundamental.
2.
A stretched string is observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?
a)
600 Hz
b)
360 Hz
c)
240 Hz
3.
The speed of propagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?
a)
25 Hz
b)
50 Hz
c)
100 Hz
d)
200 Hz
4.
A string of linear density 1.5 g/m is under a tension of 20 N. What should be its length if its fundamental resonance frequency is 220 Hz?
a)
0.26 m
b)
0.96 m
c)
1.1 m
d)
1.2 m
5.
Find the first three harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when the tension in it is 50.0 N.
a)
132 Hz, 264 Hz, 395 Hz
b)
66 Hz, 132 Hz, 198 Hz
c)
264 Hz, 528 Hz, 792 Hz
d)
none of the above
6.
What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of 440 N? The wire is 0.600 m long and has a mass of 5.60 g.
a)
517 Hz
b)
234 Hz
c)
181 Hz
d)
312 Hz
7.
A 25-g string is stretched with a tension of 43 N between two fixed points 12 m apart. What is the frequency of the second harmonic?
a)
6.0 Hz
b)
12 Hz
c)
18 Hz
d)
24 Hz
8.
A 0.588-m string is tightly clamped at both ends. If the lowest standing wave frequency of the string is 326 Hz, how fast do waves travel on this string?
a)
383 m/s
b)
475 m/s
c)
582 m/s
d)
724 m/s
9.
A string that is 2.0 meters long is fixed at both ends and tightened until the wave speed is 18 m/s. What is the frequency of the standing wave shown in the figure?
a)
27 Hz
b)
54 Hz
c)
81 Hz
d)
110 Hz
10.
A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed?
a)
380 m/s
b)
570 m/s
c)
290 m/s
d)
190 m/s
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