Question

A set of water waves travels at 20.0 m/s , and 4.0 waves pass you in 2.0 s. What is the wavelength of the waves?2.5 m0.20 m5.0 m10 m

Answer 1

ANSWER:

10 m

STEP-BY-STEP EXPLANATION:

The wavelength is given by the following formula:

$\begin{gathered} W=\frac{v}{f} \\ W\text{ is the wavelength} \\ v\text{ is the velocity} \\ f\text{ is the frequency} \end{gathered}$

Frequency is the number of waves passing in 1 second. 4 waves passes in 2 sec, so 2 waves will pass in 1 sec. Therefore, frequency is 2 s^-1.

Replacing:

$W=\frac{20}{2}=10\text{ m}$

Therefore, wavelength is 10 meters