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Waves and Particle Nature of Light

Evidence for the photon model and photoelectric calculations

  • 3 things to know
  • Papers 2 and 3

Overview

Recall questions on the three features the wave model cannot explain, the gold-leaf demonstration, and the kinetic energy against frequency graph.

What you need to know

Answer each one before you reveal it.

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Process

How can the photoelectric effect be demonstrated with a gold-leaf electroscope?

Process

In the gold-leaf electroscope demonstration of the photoelectric effect, why does the leaf not fall if the electroscope is charged positively?

Process

Light of wavelength 4.00 × 10⁻⁷ m falls on sodium, whose work function is 3.68 × 10⁻¹⁹ J. What is the maximum kinetic energy of the photoelectrons?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why is the fact that emission begins immediately regarded as evidence for photons?

    Model answer

    Emission starts within about a nanosecond even for very dim light, which is only possible if a single electron receives a whole quantum of energy at once rather than gradually absorbing it from a spread-out wave.

  2. 2

    Which three features of the photoelectric effect can the wave model of light not explain?

    Model answer

    The existence of a threshold frequency, the instantaneous emission of electrons even in faint light, and the fact that maximum kinetic energy depends on frequency rather than on intensity.

  3. 3

    How can the photoelectric effect be demonstrated with a gold-leaf electroscope?

    Model answer

    A clean zinc plate on a negatively charged electroscope is illuminated with ultraviolet light, and the leaf slowly falls as photoelectrons are emitted and the negative charge is lost.

  4. 4

    In that demonstration, why does the leaf stop falling when a sheet of glass is placed between the lamp and the zinc?

    Model answer

    The glass absorbs the ultraviolet, and the visible light that gets through has a frequency below the threshold for zinc, so no electrons are emitted.

  5. 5

    In the gold-leaf electroscope demonstration of the photoelectric effect, why does the leaf not fall if the electroscope is charged positively?

    Model answer

    Any electron released is immediately attracted back to the positively charged plate, so the electroscope does not lose its charge.

  6. 6

    What is the shape of a graph of maximum photoelectron kinetic energy against the frequency of the incident radiation, and what do its gradient and intercepts represent?

    Model answer

    It is a straight line of gradient h that crosses the frequency axis at the threshold frequency and, when extended back, cuts the energy axis at −φ.

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