Work function — Science definition

Minimum energy needed to eject an electron from a surface in the model.

Where it is taught

In use

A photon must provide at least the work function φ, the energy needed for emission.

Photons, Photoelectric Effect & Wave–Particle Models

Questions using work function

Problem 1

Photon 5 eV, work function 2 eV. Find Kmax.
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

3 eV

5−2=3.

Problem 2

With work function 2.4 eV and photons of 2.0 eV, is emission predicted by the single-photon model? Show the reasoning, not just the conclusion.
Hints

Below threshold, increased intensity alone does not supply more energy to each photon.

Answer and explanation

No. Each photon is below threshold; do not report negative kinetic energy as an emitted-electron result.

Problem 3

A material has work function 2.2 eV. Photons carry 3.7 eV. Find Kmax in eV and joules, and stopping-potential magnitude.
Answer and explanation

Kmax=1.5 eV=2.403×10⁻¹⁹ J; stopping-potential magnitude=1.5 V. At fixed photon energy, increasing intensity changes available electron number rather than this maximum.

Kmax=1.5 eV=2.403×10⁻¹⁹ J; stopping-potential magnitude=1.5 V.

At fixed photon energy, increasing intensity changes available electron number rather than this maximum.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

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