The vibration of a piano's A-string produces a wave with a wavelength of ë = 78 cm, and propagates with a speed of 343 m/s. What is the frequency?
A)0.44 Hz
B)4.40 Hz
C)44.0 Hz
D)440 Hz

Question

Quizplus · Accepted Answer

The frequency of a wave is calculated using the formula $f = \frac{v}{\lambda}$, where $f$ is the frequency, $v$ is the speed of the wave, and $\lambda$ is the wavelength. Converting the wavelength to meters (78 cm = 0.78 m) and substituting the given values, $f = \frac{343 \, \text{m/s}}{0.78 \, \text{m}} = 440 \, \text{Hz}$.

The Vibration of a Piano's A-String Produces a Wave with a Wavelength