Answer:
The maximum wavelength in air attained by this instrument is 12.28 meters.
Explanation:
Given that,
A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz.
We need to find the maximum wavelength in air attained by this instrument when the speed of sound in air is 344 m/s.
We know that the speed of any wave is given by :
[tex]v=f\lambda[/tex]
When f = 28 Hz
[tex]\lambda_1=\dfrac{v}{f}\\\\\lambda_1=\dfrac{344}{28}\\\\\lambda_1=12.28\ m[/tex]
When f = 4200 Hz
[tex]\lambda_2=\dfrac{v}{f_2}\\\\\lambda_2=\dfrac{344}{4200}\\\\\lambda_2=0.0819\ m[/tex]
So, the maximum wavelength in air attained by this instrument is 12.28 meters.