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

Answer:

B) 8.0 m

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:

$f=\frac{N}{t}=\frac{5.0}{4.0 s}=1.25 Hz$

which means 1.25 waves/second.

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

$\lambda=\frac{v}{f}$

where

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

f = 1.25 Hz is the wave frequency

Substituting, we find

$\lambda=\frac{10.0 m/s}{1.25 Hz}=8.0 m$