Question

The B key on a piano has a fundamental frequency of about 242 Hz. What is the corresponding wavelength of the sound waves? (The speed of sound in air varies with temperature but is about 340 m/s at room temperature.)

Answer 1

Wavelength,
`\lambda=1.4\ m`

Step-by-step explanation:

Given that,

The fundamental frequency of the B key on a piano, f = 242 Hz

The speed of sound in air, v = 340 m/s

To find,

The corresponding wavelength of the sound waves.

Solution,

Let
`\lambda` is the wavelength of the sound waves. We know that the speed of sound is equal to the product of frequency and wavelength. Its expression is given by :

`v=f* \lambda`

`\lambda=(v)/(f)`

`\lambda=(340\ m/s)/(242\ Hz)`

`\lambda=1.4\ m`

So, the corresponding wavelength of the sound wave is 1.4 meters.