Answer:
[tex]2.5\cdot 10^6 Hz[/tex]
Explanation:
The relationship between the speed of a wave, its frequency and its wavelength is given by the wave equation:
[tex]v=f\lambda[/tex]
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
[tex]\lambda[/tex] 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
[tex]\lambda=0.002 m[/tex] is the wavelength of the wave
Solving for f, we find the frequency:
[tex]f=\frac{v}{\lambda}=\frac{5000}{0.002}=2.5\cdot 10^6 Hz[/tex]