Question

what is the frequency of a wave that has a wavelength of 0.20 m and a speed of 22 m/s?
a. 0.23 hz
b. 0.001 hz
c. 110 hz
d. 4.4 hz

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

Step2: Substitute given values

We are given that $v = 22\ m/s$ and $\lambda=0.20\ m$. Substituting these values into the formula $f=\frac{v}{\lambda}$, we get $f=\frac{22}{0.20}$.

Step3: Calculate the frequency

$f=\frac{22}{0.20}=110\ Hz$.

Answer:

C. 110 Hz