Question

The frequency of the middle c note on a piano is 261.63 hz. What is the wavelength of this note in centimeters? The speed of sound in air is 343.06 m/s.

Answer 1

Answer:

1.31 m

Explanation:

The relationship between frequency and wavelength of a sound wave is

$c=f \lambda$

where

c is the speed of the wave

f is the frequency

$\lambda$ 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:

$\lambda=\frac{c}{f}=\frac{343.06 m/s}{261.63 Hz}=1.31 m$