Question

A 100-Hz sound wave has a wavelength of 4 meters. What is the speed ?

Answer 1

`"400 m/s"`

Explanation:

Speed (`"v"`) wavelength (`"λ")` and frequency (`"f"`) are related as

`"v = f λ"`

`"v = 100 Hz × 4 m"\ = color(blue)"400 m/s"`

Answer 2

`400 \ "m/s"`

Explanation:

Speed and wavelength are related through the following equation,

`v=flambda`

• `f` is the frequency of the wave in hertz

• `lambda` is the wavelength in meters

Note that: `1 \ "Hz"=1 \ "s"^-1`

So here, we got:

`v=100 \ "Hz"*4 \ "m"`

`=400 \ "Hz m"`

`=400 \ "m""s"^-1`

`=400 \ "m/s"`

Answer 3

`v= 400 m/s`

Explanation:

Velocity is equal to :
`v=nu*lambda`

`nu= 100 Hz`
`lambda= 4 m`

`v=(100 Hz)*(4 m)`

`v= 400 m/s`