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A-LevelPhysicsSuperposition9702/21 · May/June 2018 · Q55 Marks

When monochromatic light is incident normally on a diffraction grating, the emergent light waves have been diffracted and are coherent. Explain what is meant by (i) diffracted waves,

  1. (a)(i)When monochromatic light is incident normally on a diffraction grating, the emergent light waves have been diffracted and are coherent. Explain what is meant by (i) diffracted waves,[1]
  2. (a)(ii)(ii) coherent waves.[1]
  3. (b)(i)Light consisting of only two wavelengths λ₁ and λ₂ is incident normally on a diffraction grating. The third order diffraction maximum of the light of wavelength λ₁ and the fourth order diffraction maximum of the light of wavelength λ₂ are at the same angle θ to the direction of the incident light. (i) Show that the ratio λ₂/λ₁ is 0.75. Explain your working.[2]
  4. (b)(ii)(ii) The difference between the two wavelengths is 170nm. Determine wavelength λ₁. λ₁ =[1]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [B1] waves spread at (each) slit/gap
  2. [B1] constant phase difference (between (each of) the waves)
  3. [B1] nλ = dsin θ
  4. [A1] dsin θ is the same and 3λ₁ = 4λ₂ so λ₂/λ₁ = 0.75
  5. [A1] λ₁ = 680 nm

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About this question

Topic
Superposition, A-Level Physics (syllabus 9702). Structured question, 5 marks.
Source
A-Level Physics, May/June 2018 Paper 2 Variant 1, question 5.

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