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A-LevelPhysicsQuantum physics9702/41 · May/June 2017 · Q118 Marks

A beam of light consists of a continuous range of wavelengths from 420 nm to 740 nm. The light passes through a cloud of cool gas, as shown in Fig. 11.1. [Figure 11.1]

  1. (a)The spectrum of the light emerging from the cloud of cool gas is viewed using a diffraction grating. Explain why this spectrum contains a number of dark lines.[4]
  2. (b)(i)Light of wavelength 420 nm has a photon energy of 2.96 eV. Calculate the photon energy, in eV, of light of wavelength 740 nm.[2]
  3. (b)(ii)Use data from (i) and your answer in (i) to show, on Fig. 11.2, the changes in energy levels giving rise to the dark lines in (a). [Figure 11.2 (not to scale)][2]

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Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [B1] electrons (in gas atoms/molecules) interact with photons
  2. [B1] photon energy causes electron to move to higher energy level/to be excited
  3. [B1] photon energy = difference in energy of (electron) energy levels
  4. [B1] when electrons de-excite, photons emitted in all directions (so dark line)
  5. [C1] photon energy ∝ 1/λ
  6. [A1] energy = 1.68 eV
  7. [(C1)] or E = hc / λ
  8. [(C1)] E = 6.63 × 10⁻³⁴ × 3.0 × 10⁸ / (740 × 10⁻⁹)
  9. [(A1)] = 2.688 × 10⁻¹⁹ J
  10. [(A1)] energy = 1.68 eV
  11. [B2] 3.4 eV → 1.5 eV
  12. 3.4 eV → 0.85 eV
  13. 3.4 eV → 0.54 eV
  14. all correct and none incorrect 2/2
  15. 2 correct and 1 incorrect or only 2 correctly drawn 1/2

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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 2017 Paper 4 Variant 1, question 11.

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