a keyboard plays a note with a wavelength of 1.64 meters. what is the frequency of the note if the speed of…

Explanation:

Step1: Recall the 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 $f$.

Step2: Rearrange the formula for frequency

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

Step3: Substitute the given values

We know that $v = 342$ m/s and $\lambda=1.64$ m. Substituting these values into the formula $f=\frac{v}{\lambda}$, we get $f=\frac{342}{1.64}$.

Step4: Calculate the frequency

$f=\frac{342}{1.64}\approx208.5$ Hz.

Answer:

$208.5$ Hz