Question

a piano plays the note a at a frequency of 440 hertz. what is the approximate wavelength in meters of this sound wave if the speed of sound in air is 340 meters per second? select one: 0.007 meters 0.077 meters 0.77 meters 7.7 meters check

Explanation:

Step1: Recall 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 rearrange the formula to $\lambda=\frac{v}{f}$.

Step2: Substitute values

Given $v = 340\space m/s$ and $f = 440\space Hz$. Substitute into the formula: $\lambda=\frac{340}{440}$.

Step3: Calculate the value

Simplify $\frac{340}{440}\approx0.77\space meters$.

Answer:

0.77 meters (corresponding to the option "0.77 meters")