Question

what is the frequency of a wave with .15m wavelength traveling at 40m/s?
2.66m/s
600m/s
6m/s
266.6m/s

Explanation:

Step1: Recall wave speed formula

The wave speed formula is $v = f\lambda$, where $v$ is wave speed, $f$ is frequency, and $\lambda$ is wavelength. Rearrange to solve for frequency: $f = \frac{v}{\lambda}$

Step2: Substitute given values

Given $v = 40\,\text{m/s}$, $\lambda = 0.15\,\text{m}$. Substitute into the formula:
$f = \frac{40}{0.15}$

Step3: Calculate the value

Compute the division: $\frac{40}{0.15} \approx 266.67\,\text{Hz}$ (Note: The options incorrectly list units as m/s; the correct unit for frequency is Hz, but the matching numerical value is in the last option.)

Answer:

D. 266.6m/s (Note: The unit is incorrect; the correct unit for frequency is Hz, but this is the matching numerical result from the calculation.)