select the correct answer.\nthe wavelength of a wave on a string is 1.2 meters. if the speed of the wave is…

select the correct answer.\nthe wavelength of a wave on a string is 1.2 meters. if the speed of the wave is 60 meters/second, what is its frequency?\na. 0.20 hertz\nb. 2.0 hertz\nc. 50 hertz\nd. 10 hertz\ne. 15 hertz

select the correct answer.\nthe wavelength of a wave on a string is 1.2 meters. if the speed of the wave is 60 meters/second, what is its frequency?\na. 0.20 hertz\nb. 2.0 hertz\nc. 50 hertz\nd. 10 hertz\ne. 15 hertz

Answer

Explanation:

Step1: Recall wave - speed formula

The wave - speed formula is $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$.

Step2: Rearrange the formula for frequency

Rearranging $v = f\lambda$ gives $f=\frac{v}{\lambda}$.

Step3: Substitute given values

We are given that $v = 60$ m/s and $\lambda=1.2$ m. Substituting these values into the formula $f=\frac{v}{\lambda}$, we get $f=\frac{60}{1.2}$.

Step4: Calculate the frequency

$\frac{60}{1.2}=50$ Hz.

Answer:

C. 50 hertz