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A-LevelPhysicsQuantum physics9702/42 · Oct/Nov 2021 · Q99 Marks

A polished calcium plate in a vacuum is investigated by illuminating the surface with light. It is found that no photoelectric current is produced when the frequency of the light is less than 6.93 x 10¹⁴ Hz.

  1. (a)(i)State what is meant by: the photoelectric effect[2]
  2. (a)(ii)State what is meant by: work function energy.[1]
  3. (b)(i)State the name of the frequency below which no photoelectric current is produced.[1]
  4. (b)(ii)Explain how the photon model of electromagnetic radiation accounts for this phenomenon.[3]
  5. (b)(iii)Calculate the work function energy, in eV, of calcium.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. emission of electrons (from a metal surface)
  2. when electromagnetic radiation is incident (on electrons)
  3. minimum energy required for an electron to leave surface
  4. threshold (frequency)
  5. photons are (discrete) packets of energy
  6. energy of photons depends on frequency (of EM radiation)
  7. electrons can only absorb a single photon (of energy)
  8. emission only possible if photon energy is at least the work function
  9. work function = hfo = 6.63 x 10-34 × 6.93 × 1014
  10. = 4.59 × 10-19 (J)
  11. = 4.59 × 10-19 / 1.60 × 10–19 (eV)
  12. = 2.87 eV

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About this question

Topic
Quantum physics, A-Level Physics (syllabus 9702). Structured question, 9 marks.
Source
A-Level Physics, Oct/Nov 2021 Paper 4 Variant 2, question 9.

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