Question

What is the frequency of a wave traveling at 5,000 m/s with a wavelength of .002 m/cycle?

Answer 1

Answer:

$2.5\cdot 10^6 Hz$

Explanation:

The relationship between the speed of a wave, its frequency and its wavelength is given by the wave equation:

$v=f\lambda$

where

v is the wave speed

f is the frequency of the wave, which is the number of cycles completed by the wave in one oscillation

$\lambda$ is the wavelength, which is the distance between two consecutive crests of the wave

For the wave in this problem we have:

v = 5000 m/s is the speed

$\lambda=0.002 m$ is the wavelength of the wave

Solving for f, we find the frequency:

$f=\frac{v}{\lambda}=\frac{5000}{0.002}=2.5\cdot 10^6 Hz$