The photoelectric work function of a metal is the minimum...

The photoelectric work function of a metal is the minimum energy needed to eject an electron by irradiating the metal with light. For calcium, this work function equals $4.34 \times 10^{-19} \mathrm{~J}$. What is the minimum frequency of light for the photoelectric effect in calcium?

Key Concepts

Photoelectric Effect

The photoelectric effect is the phenomenon in which electrons are emitted from a material when it absorbs electromagnetic radiation, typically light. This process demonstrates the particle-like properties of light since only photons with sufficient energy, corresponding to the material's work function, can dislodge electrons from the surface.

Work Function

The work function is the minimum energy required to remove an electron from the surface of a material. It represents the binding energy that holds the electron in place, and only photons with energy equal to or greater than this value can initiate electron emission via the photoelectric effect.

Planck's Constant

Planck's constant is a fundamental physical constant that relates the energy of a photon to its frequency. It is denoted by h and is crucial in quantum mechanics, especially in formulas like E = hf, where E is the energy of a photon and f is its frequency.

Photon Energy-Frequency Relationship

The relationship between a photon's energy and its frequency is given by the equation E = hf. This equation indicates that a photon’s energy is directly proportional to its frequency, meaning that to overcome a material's work function and cause electron emission, the light must have a minimum frequency determined by dividing the work function by Planck’s constant.

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