Science
​A Graphical Analysis of Sound Waves

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A little girl plays on a piano. When she strikes a key, a sound wave travels through her
room. She presses four different single keys one by one and the graphical representations
of the sound waves are shown below from Plot A to Plot D. You can examine the detailed
graphical features by clicking here for a pdf file named “Plot A to D”. After analyzing the
individual graphs to obtain physical properties of waves from Plot A to Plot D, complete
the Table and answer the following questions.

Instructions
for
this
activity
are
given
by
the
video

Complete the Table: Calculate the amplitude, wavelength λ, frequency f, and
period T for each plot. When you calculate frequency, use v=fλ, where v is the
sound of speed at room temperature, v = 340 m/s. (50 points)

Plot
A
B
C
D

Amplitude
1
2
1
2

λ[m]
2
2
1
4

f [Hz]
170
170
340
85

T [sec]
0.00588
0.00588
0.00294
0.01176

1. What is the physical condition to make Plot A equal to Plot B?
(6 points)
If the amplitude of Plot A is doubled then Plot A becomes equal to plot B.
2. If the wavelength of Plot B is doubled, which plot has the same property? (6 points)
From the table, we can see that if the wavelength of plot B is doubled (i.e. 2(2)
=4m) the plot D has the same property as plot B as both have same amplitude and
wavelength in this new condition.
3. When the frequency of the sound doubles, it has a one-octave high pitch. How
many more octaves is Plot C compared to Plot D? (6 points)
The frequency of Plot C is 340 H...

sunil281987 (1033)
UC Berkeley
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Anonymous
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