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9 Nov 2021
Given information
Given values:
The relative amplitudes
and 
are shown in Figs. 12–15.
Calculate the ratio of the intensities of the consecutive overtones using their amplitudes and frequencies.
The frequency of the sound wave is, and the strength of the sound wave is,
The density of the medium is 
, the speed of sound in air is 
, the fundamental frequency is 
, and the wave's amplitude is 
.
Step-by-step explanation
Step 1.
The intensity is proportional to the square of the amplitude and the square of the frequency, according to Equation. The relative amplitudes and are shown in Figs. 12–15.
Here,
is the first overtone's intensity, 
is the second overtone's intensity, 
is the first overtone's frequency, 
is the second overtone's frequency, 
is the first overtone's amplitude, and
is the second overtone's amplitude.
is the first overtone's intensity, is the second overtone's intensity, is the first overtone's frequency, is the second overtone's frequency, is the first overtone's amplitude, and is the second overtone's amplitude.The value of the ratio is roughly in figure 12-15, and the value of the ratio
is 2. As a result, the ratio 
of two overtone intensities is,
in figure 12-15, and the value of the ratio is 2. As a result, the ratio of two overtone intensities is,
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1
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