Explanation:
The velocity [tex]V[/tex] of a wave is given by:
[tex]V=\lambda.f[/tex] (1)
Where:
[tex]\lambda[/tex] is the wavelength of the wave
[tex]f[/tex] is the frequency of the wave. Its unit is Hertz ([tex]1Hz=\frac{1}{s}[/tex])
So, we have to find [tex]\lambda[/tex] from equation (1):
[tex]\lambda=\frac{V}{f}[/tex] (2)
[tex]\lambda=\frac{15km/s}{12Hz}[/tex]
Finally we obtain the wavelength of the earthquake wave:
[tex]\lambda=1.25 km[/tex]