Question

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.

Answer 1

The maximum wavelength in air attained by this instrument is 12.28 meters.

Step-by-step 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 :

`v=f\lambda`

When f = 28 Hz

`\lambda_1=(v)/(f)\\\\\lambda_1=(344)/(28)\\\\\lambda_1=12.28\ m`

When f = 4200 Hz

`\lambda_2=(v)/(f_2)\\\\\lambda_2=(344)/(4200)\\\\\lambda_2=0.0819\ m`

So, the maximum wavelength in air attained by this instrument is 12.28 meters.