Answer:
1.31 m
Explanation:
The relationship between frequency and wavelength of a sound wave is
[tex]c=f \lambda[/tex]
where
c is the speed of the wave
f is the frequency
[tex]\lambda[/tex] is the wavelenfth
In this problem, we have
c = 343.06 m/s
f = 261.63 Hz
So we can solve the formula for the wavelength:
[tex]\lambda=\frac{c}{f}=\frac{343.06 m/s}{261.63 Hz}=1.31 m[/tex]
Wavelength of the note of the piano is the ratio of speed of sound to its frequency. The wavelength of the note is centimeters is 131 centimeters.
Wavelength of a wave is the distance between the two consecutive crest or the thrust of that wave. The wavelength of the wave is represented with the Greek latter lambda (λ).
The wavelength of the wave can be given as,
[tex]\lambda=\dfrac{v}{f}[/tex]
Here, (v) is the speed of wave and (f) is the frequency of the wave.
It is given that, the frequency of the middle c note on a piano is 261.63 hz.
As the speed of sound in air is 343.06 meter per second. Thus put the values of the known variables in the above formula to find the wavelength of the note as,
[tex]\lambda=\dfrac{343.06}{261.63}\\\lambda=1.31\rm m[/tex]
The wavelength of this note in centimeters is 131 centimeters.
Learn more about the wavelength of a wave here;
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