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A-LevelPhysicsQuantum physics9702/42 · Feb/Mar 2017 · Q108 Marks

(b) Light in a beam has a continuous spectrum that lies within the visible region. The photons of light have energies ranging from 1.60 eV to 2.60 eV. The beam passes through some hydrogen gas. It then passes through a diffraction grating and an absorption spectrum is observed. (ii) Some of the energy levels of an electron in a hydrogen atom are illustrated in Fig. 10.1. -0.54 -0.85 -1.51 energy/eV -3.40 -13.60 Fig. 10.1 (not to scale) The dark lines in the absorption spectrum are the result of electron transitions between energy levels. On Fig. 10.1, draw arrows to show the initial electron transitions between energy levels that could give rise to dark lines in the absorption spectrum.

  1. (a)State what is meant by a photon.[2]
  2. (b)(i)All of the light absorbed by the hydrogen is re-emitted. Explain why dark lines are still observed in the absorption spectrum.[1]
  3. (b)(ii)On Fig. 10.1, draw arrows to show the initial electron transitions between energy levels that could give rise to dark lines in the absorption spectrum.[2]
  4. (b)(iii)Calculate the shortest wavelength of the light in the beam.[3]

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Mark scheme

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

  1. [M1] packet/quantum of energy
  2. [A1] of electromagnetic radiation
  3. [B1] light is re-emitted in all directions/only part of the re-emitted light is in the direction of the beam
  4. [B1] an arrow between -3.40 eV and -1.51 eV and an arrow between -3.40 eV and -0.85 eV
  5. [B1] all arrows shown point 'upwards'
  6. [C1] E = hc / λ or E = hf and c = fλ
  7. [C1] 2.60 × 1.60 × 10⁻¹⁹ = (6.63 × 10⁻³⁴ x 3.00 x 10⁸) / λ
  8. [A1] λ = 4.8 × 10⁻⁷ m

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About this question

Topic
Quantum physics, A-Level Physics (syllabus 9702). Structured question, 8 marks.
Source
A-Level Physics, Feb/Mar 2017 Paper 4 Variant 2, question 10.

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