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Quantum Physics

Work function and Einstein's equation

  • 3 things to know
  • Papers 2 and 3

Overview

Recall questions on the work function and threshold frequency, Einstein's photoelectric equation and calculations, and how intensity affects the rate of emission but not the maximum kinetic energy of photoelectrons.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

State the relationship between threshold frequency and work function as an equation.

Process

What is the threshold frequency?

Key term

Above the threshold frequency, how does the rate of emission of photoelectrons depend on the intensity of incident radiation?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the work function of a metal.

    Model answer

    The minimum energy required to remove an electron from the surface of a metal.

  2. 2

    At the threshold frequency, how does the photon energy compare to the work function?

    Model answer

    At the threshold frequency, the photon energy equals the work function.

  3. 3

    State the relationship between threshold frequency and work function as an equation.

    Model answer

    hf₀ = φ, where h is the Planck constant, f₀ is the threshold frequency, and φ is the work function.

  4. 4

    Calculate the maximum kinetic energy when Planck constant = 6.63 × 10⁻³⁴ J s, frequency = 2.95 × 10¹⁵ Hz, work function = 6.9 × 10⁻¹⁹ J.

    Model answer

    Maximum kinetic energy = 6.63 × 10⁻³⁴ × 2.95 × 10¹⁵ − 6.9 × 10⁻¹⁹ = 1.27 × 10⁻¹⁸ J.

  5. 5

    State the equation used to calculate the threshold frequency from the work function.

    Model answer

    f₀ = φ/h, where f₀ is the threshold frequency, φ is the work function, and h is the Planck constant.

  6. 6

    Calculate the threshold frequency when work function = 6.9 × 10⁻¹⁹ J, Planck constant = 6.63 × 10⁻³⁴ J s.

    Model answer

    Threshold frequency = 6.9 × 10⁻¹⁹ ÷ (6.63 × 10⁻³⁴) = 1.04 × 10¹⁵ Hz.

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