Question

In which medium do the waves travel with the greatest velocity? *

A medium with a frequency of 4 Hz and a wavelength of 3.5 m
A medium with a frequency of 3 Hz and a wavelength of 5 m
A medium with a frequency of 4 Hz and a wavelength of 3 m
A medium with a frequency of 5 Hz and a wavelength of 2 m

Answer 1

A medium with a frequency of 3 Hz and a wavelength of 5 m

Step-by-step explanation:

The velocity of a wave can be found by using the formula:

`v=f\lambda`

where

f is the frequency

`\lambda` is the wavelength

Let's apply this formula to calculate the velocity of each wave:

A medium with a frequency of 4 Hz and a wavelength of 3.5 m:

`v=(4 Hz)(3.5 m)=14 m/s`

A medium with a frequency of 3 Hz and a wavelength of 5 m :

`v=(3 Hz)(5 m)=15 m/s`

A medium with a frequency of 4 Hz and a wavelength of 3 m :

`v=(4 Hz)(3 m)=12 m/s`

A medium with a frequency of 5 Hz and a wavelength of 2 m:

`v=(5 Hz)(2 m)=10 m/s`

So, we see that the wave with the greatest velocity is the 2nd one.