contestada

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

Respuesta :

Answer:

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

Explanation:

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

[tex]v=f\lambda[/tex]

where

f is the frequency

[tex]\lambda[/tex] 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:

[tex]v=(4 Hz)(3.5 m)=14 m/s[/tex]

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

[tex]v=(3 Hz)(5 m)=15 m/s[/tex]

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

[tex]v=(4 Hz)(3 m)=12 m/s[/tex]

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

[tex]v=(5 Hz)(2 m)=10 m/s[/tex]

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