Understanding the Relationship
* Planck's Constant (h): This fundamental constant relates the energy of a photon to its frequency. It's approximately 6.626 x 10^-34 joule-seconds.
* Energy (E): The energy of a single photon, given as 2.072 x 10^-24 joules.
* Frequency (f): The number of wave cycles passing a point per second, which we want to find.
The Formula
The relationship between energy (E), frequency (f), and Planck's constant (h) is:
E = h * f
Solving for Frequency
1. Rearrange the formula: f = E / h
2. Plug in the values: f = (2.072 x 10^-24 joules) / (6.626 x 10^-34 joule-seconds)
3. Calculate: f ≈ 3.127 x 10^9 Hz
The Answer
The frequency of the radio wave is approximately 3.127 x 10^9 Hz or 3.127 GHz. This falls within the range of frequencies used for radio communication, specifically the Ultra High Frequency (UHF) band.
