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A-LevelPhysicsQuantum physics9702/41 · May/June 2021 · Q128 Marks

Electromagnetic radiation of a single constant frequency is incident on a metal surface. This causes an electron to be emitted. Explain why the maximum kinetic energy of the electron is independent of the intensity of the incident radiation.

  1. (a)Electromagnetic radiation of a single constant frequency is incident on a metal surface. This causes an electron to be emitted. Explain why the maximum kinetic energy of the electron is independent of the intensity of the incident radiation.[3]
  2. (b)Ultraviolet radiation of wavelength 250 nm is incident on the surface of a sheet of zinc. The maximum kinetic energy of the emitted electrons is 1.4 eV. Determine, in eV:
  3. (b)(i)the energy of a photon of the ultraviolet radiation energy = .............................................................. eV [3][3]
  4. (b)(ii)the work function energy of the surface of the zinc. energy = .............................................................. eV [2][2]

Mark scheme

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

  1. [1] (a) frequency determines energy of photon
  2. [1] intensity determines number of photons (per unit time)
  3. [1] intensity does not determine energy of a photon
  4. [1] kinetic energy (of the electron) depends on the energy of one photon
  5. [1] (b)(i) E = hc / λ
  6. [1] E = hf and c = fλ
  7. [1] E = (6.63 × 10^-34 × 3.00 × 10^8) / (250 × 10^-9)
  8. [1] (= 7.96 × 10^-19 J)
  9. [1] = 5.0 eV
  10. [1] (b)(ii) E_MAX = photon energy – work function
  11. [1] work function = 5.0 – 1.4
  12. [1] = 3.6 eV

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About this question

Topic
Quantum physics, A-Level Physics (syllabus 9702). Structured question, 8 marks.
Source
A-Level Physics, May/June 2021 Paper 4 Variant 1, question 12.

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