Understanding the Relationship
* Speed of light (c): Electromagnetic waves travel at the speed of light, which is approximately 299,792,458 meters per second (m/s).
* Wavelength (λ): The distance between two consecutive crests or troughs of the wave.
* Frequency (f): The number of wave cycles passing a point per second.
The relationship between these is:
c = λ * f
Solving for Frequency
1. Convert wavelength to meters: 12,800 km = 12,800,000 meters
2. Rearrange the equation to solve for frequency (f):
f = c / λ
3. Substitute the values:
f = 299,792,458 m/s / 12,800,000 m
4. Calculate the frequency:
f ≈ 23.4 Hz (Hertz)
Therefore, the frequency of an electromagnetic wave with a wavelength of 12,800 km is approximately 23.4 Hz.
Important Note: This frequency falls within the Extremely Low Frequency (ELF) band, which is used for some long-range communication applications.