Understanding the Relationship
* Planck's Equation: The energy of a photon is directly proportional to its frequency. This relationship is described by Planck's equation:
E = hν
Where:
* E = energy of the photon (joules)
* h = Planck's constant (6.626 x 10⁻³⁴ joule-seconds)
* ν = frequency of the photon (Hz)
Calculations
1. Rearrange the equation to solve for frequency:
ν = E / h
2. Plug in the values:
ν = (1.369 x 10⁻²⁴ J) / (6.626 x 10⁻³⁴ J·s)
3. Calculate the frequency:
ν ≈ 2.066 x 10⁹ Hz
Answer:
The frequency of the radio wave is approximately 2.066 x 10⁹ Hz, which falls within the UHF (Ultra High Frequency) band of the radio spectrum.
