A piano emits frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the maximum wavelength in air attained by this instrument when the speed of sound in air is 344 m/s. Answer in units of m.

Respuesta :

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.