Question

in music, the note g above middle c has a frequency of about 392 hertz. if the speed of sound in the air is 340 m/s, what is the approximate wavelength of this note? (1 point) 1.2 meters 8.7 meters 0.87 meters 0.0026 meters

Explanation:

Step1: Recall the wave speed formula

The formula relating wave speed ($v$), frequency ($f$), and wavelength ($\lambda$) is $v = f\lambda$. We need to solve for $\lambda$, so we rearrange the formula to $\lambda=\frac{v}{f}$.

Step2: Substitute the given values

We know that $v = 340\space m/s$ and $f = 392\space Hz$. Substituting these values into the formula, we get $\lambda=\frac{340}{392}$.

Step3: Calculate the wavelength

Calculating $\frac{340}{392}\approx0.87\space meters$.

Answer:

0.87 meters