Question

The speed of sound traveling through a dense material is 600 m/s. If the wavelength is 15.0 m, what is the frequency of this sound?9,000 Hz80 Hz0.0025 Hz40 Hz

Answer 1

W0e are asked to determine the frequency of a sound given its velocity and wavelength. To do that we will use the following formula:

$v=\lambda f$

Where:

$\begin{gathered} v=\text{ velocity} \\ \lambda=\text{ wavelength} \\ f=\text{ frequency} \end{gathered}$

Now, we solve for the frequency by dividing both sides by the wavelength.

$\frac{v}{\lambda}=f$

Now, we substitute the values:

$\frac{600\frac{m}{s}}{15m}=f$

Solving the operations:

$40Hz=f$

Therefore, the frequency is 40 Hz.