Question

What is the wavelength of a 264-Hz sound wave when the speed of sound is 345 m2 1.31 m A. 0.77 m C. 6.09 m D. 0.11 m​

Answer 1

The wavelength : 1.31 m

Further explanation

Waves are vibrations that travel

There are several parts of the wave namely:

frequency, period, wavelength and wave velocity

Frequency (f): the number of waves that occur in one second

Period (T): The time required to travel one wave

Wavelength (λ): the distance from one crest to another, or from one trough to another (on transverse waves) and the distance between two consecutive compressions or between two consecutive rarefactions (on longitudinal waves)

Fast wave propagation (v): the distance traveled by waves per unit of time

The formula:

`\tt v=\lambda* f`

The speed of a sound wave 345 m, and the frequency = 264 Hz , so

v = 345 m

f = 264 Hz,

then the wavelength :

`\tt \lambda=(v)/(f)=(345)/(264)=\boxed{\bold{1.31~m}}`