Question

PLEASE ANSWER!!!!

A set of water waves travels at 10.0 m/s, and 5.0 waves pass you in 4.0 s. What is the wavelength of the waves?

A.) 0.20 m

B.) 8.0 m

C.) 4.0 m

D.) 0.25 m

Answer 1

B) 8.0 m

Step-by-step explanation:

First of all, we can find the frequency of the wave, which is equal to the number of waves that pass a given point per second. Therefore:

`f=(N)/(t)=(5.0)/(4.0 s)=1.25 Hz`

which means 1.25 waves/second.

Then we can find the wavelength of the water waves, which is given by:

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

where

v = 10.0 m/s is the speed of the wave

f = 1.25 Hz is the wave frequency

Substituting, we find

`\lambda=(10.0 m/s)/(1.25 Hz)=8.0 m`