* Planck's Equation: This equation relates the energy of a photon to its frequency:
E = hν
where:
* E is the energy of the photon
* h is Planck's constant (6.63 x 10^-34 J⋅s)
* ν is the frequency of the light
* Einstein's Equation for the Photoelectric Effect: This equation relates the kinetic energy of emitted electrons to the energy of the incident photons and the work function of the metal:
K.E. = hν - Φ
where:
* K.E. is the kinetic energy of the emitted electron
* hν is the energy of the incident photon
* Φ is the work function of the metal (the minimum energy required to remove an electron from the metal)
How Einstein's work supports these equations:
Einstein explained the photoelectric effect by proposing that light consists of discrete packets of energy called photons. He explained that:
1. Photons can only eject electrons if their energy is greater than the work function of the metal. This is consistent with Planck's equation, which states that the energy of a photon is directly proportional to its frequency.
2. The kinetic energy of the emitted electrons is directly proportional to the frequency of the light. This is explained by Einstein's equation for the photoelectric effect, which states that the kinetic energy of the emitted electron is equal to the energy of the photon minus the work function.
3. There is a threshold frequency below which no electrons are emitted. This threshold frequency corresponds to the work function of the metal. Below this frequency, the photons do not have enough energy to overcome the work function and eject electrons.
In summary, Einstein's work on the photoelectric effect provided strong evidence for the quantized nature of light and the validity of Planck's equation and Einstein's equation for the photoelectric effect.
