The formula to calculate the Energy of a Photon (E) is:
\[ E = h \times f \]
Where:
The photon frequency to energy relationship is a key concept in quantum mechanics. It explains how the energy of a photon is directly proportional to its frequency, a relationship described by the formula \( E = h \times f \). This principle is fundamental in various fields, including the study of electromagnetic radiation, the photoelectric effect, and quantum optics. Essentially, as the frequency of a photon increases, so does its energy.
Let's consider an example:
Using the formula to calculate the Energy of the Photon:
\[ E = 6.62607015 \times 10^{-34} \times 5 \times 10^{14} = 3.313035075 \times 10^{-19} \, \text{Joules} \]
This means that a photon with a frequency of \(5 \times 10^{14}\) hertz has an energy of approximately \(3.31 \times 10^{-19}\) Joules.