Question

what is the wavelength of a wave with a frequency of 466 hz and a speed of 343 m/s?
a. 1.6×10^5 m
b. 6.25×10^(-6) m
c. 1.35 m
d. 0.74 m

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 $\lambda$.

Step2: Rearrange the formula

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

Step3: Substitute values

Given $v = 343\ m/s$ and $f = 466\ Hz$, we substitute these values into the formula: $\lambda=\frac{343}{466}\ m$.

Step4: Calculate the result

$\lambda\approx0.74\ m$.

Answer:

D. $0.74\ m$