Question

The velocity of a particular wave is 23.8 m/s. Find the wavelength of thisparticular wave if the frequency is 11.0 Hz

Answer 1

We are asked to determine the wavelength of a wave that travels with a velocity of 23.8 m/s and has a frequency of 11 Hz. To do that we will use the following formula:-

`v=f\lambda`

Where:

`\begin{gathered} v=\text{ wave velocity} \\ f=\text{ frenquency} \\ \lambda=\text{ wavelength} \end{gathered}`

Now, we solve for the wavelength by dividing both sides by the frequency:

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

Plugging in the values we get:

`(23.8(m)/(s))/(11Hz)=\lambda`

Solving the operations we get:

`2.2m=\lambda`

Therefore, the wavelength is 2.2 meters.