Understanding the Relationship
The relationship between the frequency (f) of a photon and its wavelength (λ) is defined by the speed of light (c):
* c = fλ
Where:
* c = speed of light ≈ 3 x 10⁸ meters per second (m/s)
* f = frequency (in Hertz, Hz)
* λ = wavelength (in meters, m)
Solving for Frequency
1. Rearrange the equation to solve for frequency:
f = c / λ
2. Plug in the values:
f = (3 x 10⁸ m/s) / (100 m)
3. Calculate:
f = 3 x 10⁶ Hz
Therefore, the frequency of a photon with a wavelength of 100 meters is 3 x 10⁶ Hz (or 3 MHz).
Important Note: Photons with such long wavelengths fall in the extremely low frequency (ELF) range of the electromagnetic spectrum. These are very low-energy photons and are not typically considered within the visible spectrum.
