195k views
1 vote
A periodic wave having a frequency of 5.0 hertz and a speed of 10 meters per second has a wavelength of?

A periodic wave having a frequency of 5.0 hertz and a speed of 10 meters per second-example-1
User Jason Coon
by
4.8k points

1 Answer

1 vote

ANSWER


\begin{equation*} 2.0\text{ }m \end{equation*}

Step-by-step explanation

To find the wavelength of the wave, apply the formula for the speed of a wave:


v=\lambda *f

where λ = wavelength

f = frequency

Therefore, by substituting the given values into the equation and solving for λ, the wavelength of the wave is:


\begin{gathered} 10=\lambda *5 \\ \Rightarrowλ=(10)/(5) \\ λ=2.0\text{ }m \end{gathered}

That is the answer.

User Mathias F
by
4.7k points