Photoelectric Effect Calculator

The photoelectric effect is a quantum phenomenon where electrons are emitted from a material when light of sufficient frequency hits its surface. Einstein explained this effect in 1905, showing that light consists of discrete energy packets called photons.

Einstein's photoelectric equation is Kmax = hf - φ, where Kmax is the maximum kinetic energy of emitted electrons, h is Planck's constant, f is the photon frequency, and φ is the work function of the material.

The work function (φ) is the minimum energy required to remove an electron from the surface of a material. It's a characteristic property of each material and determines the threshold frequency for photoelectric emission.

Threshold frequency (f₀) is the minimum frequency of incident light required to emit electrons from a material surface. It's calculated as f₀ = φ/h, where φ is the work function and h is Planck's constant.

Stopping potential (Vs) is the minimum voltage needed to stop the most energetic photoelectrons. It's related to maximum kinetic energy by eVs = Kmax, where e is the elementary charge.

Only light with frequency above the threshold frequency can emit electrons. Higher frequencies produce electrons with greater kinetic energy, but the number of electrons depends on light intensity, not frequency.

Each photon carries energy E = hf. If this energy is less than the work function, individual photons cannot provide enough energy to remove electrons, regardless of how many photons are present (intensity).

The photoelectric effect is used in photoelectric sensors, photomultiplier tubes, image sensors in cameras, solar cells, and photodiodes. It's fundamental to many modern electronic and optical devices.