E = hν
where:
* E is the energy of the photon, measured in joules (J)
* h is Planck's constant, a fundamental constant of nature with a value of approximately 6.626 x 10^-34 joule-seconds (J·s)
* ν is the frequency of the photon, measured in Hertz (Hz), which represents cycles per second.
This equation is a fundamental principle of quantum mechanics and has several important implications:
* Light has both wave-like and particle-like properties: The equation connects the wave property of light (frequency) to its particle property (energy).
* Energy is quantized: It means that light energy is not continuous, but exists in discrete packets called photons, each with a specific energy determined by its frequency.
* The photoelectric effect: The equation explains the photoelectric effect, where electrons are emitted from a metal when light shines on it. The energy of the photon must be greater than or equal to the work function of the metal for an electron to be ejected.
In summary, the Planck-Einstein equation is a crucial formula that bridges the gap between classical physics and quantum mechanics, and provides a fundamental understanding of the nature of light and energy.
