According to the energy of a photon equation, what is the relationship between energy and frequency?

• A. E = h/f
• B. E = hf
• C. E = hλ
• D. E = f/λ

Answer: (B)

The equation that relates the energy of a photon to its frequency is expressed as E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the photon. This relationship shows that the energy of a photon is directly proportional to its frequency. As the frequency increases, the energy of the photon also increases, indicating that higher frequency photons (such as gamma rays) carry more energy than lower frequency photons (like radio waves).

This fundamental relationship is crucial in understanding various concepts in quantum mechanics and electromagnetic radiation, including how photons interact with matter, the behaviors of different types of electromagnetic waves, and applications in technologies like lasers and photovoltaics. The other choices presented do not accurately represent the established relationship between photon energy and frequency, which is why they do not align with the correct understanding of this concept.