Question

if the speed of sound is 34,500 cm/s and a note has a frequency of 256 hz, what is the wavelength in meters

Answer 1

Wavelength of sound in meters = 1.348 m

Step-by-step explanation:

Given

speed of sound = 34500 cm
`s^(-1)` = 345 m
`s^(-1)` (since 1 cm = 0.01m)

frequency of sound = 256 Hz = 256
`s^(-1)`

Wavelength of sound in meters = ?

We know that all waves have same relationship among speed s, frequency f and wavelength λ, which is given by the equation

v = fλ

Wavelength λ = v/f

= 345 m
`s^(-1)` / 256
`s^(-1)`

=1.348 m

Hence wavelength of sound in meters = 1.348 m