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A-LevelPhysicsSuperposition9702/21 · Oct/Nov 2017 · Q39 Marks

A tube is open at both ends. A loudspeaker, emitting sound of a single frequency, is placed near one end of the tube, as shown in Fig. 3.1. The speed of the sound in the tube is 340ms⁻¹. The length of the tube is 0.60 m. A stationary wave is formed with an antinode A at each end of the tube and two antinodes inside the tube. [Figure 3.1]

  1. (a)State the difference between a stationary wave and a progressive wave in terms of
  2. (a)(i)the energy transfer along the wave,[1]
  3. (a)(ii)the phase of two adjacent vibrating particles.[1]
  4. (b)(i)State what is meant by an antinode of the stationary wave.[1]
  5. (b)(ii)State the distance between a node and an adjacent antinode.[1]
  6. (b)(iii)Determine, for the sound in the tube,
  7. (b)(iii) 1.the wavelength,[1]
  8. (b)(iii) 2.the frequency.[2]
  9. (b)(iv)Determine the minimum frequency of the sound from the loudspeaker that produces a stationary wave in the tube.[2]

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Mark scheme

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

  1. [B1] in a stationary wave energy is not transferred or in a progressive wave energy is transferred
  2. [B1] in a stationary wave (adjacent) particles are in phase or in a progressive wave (adjacent) particles are out of phase/have a phase difference/not in phase
  3. [B1] (position where) maximum amplitude
  4. [B1] distance = 0.10 m
  5. [A1] λ = 0.60/1.5 = 0.40 m
  6. [C1] v = fλ
  7. [A1] f = 340/0.40 = 850 Hz
  8. [C1] λ = 2 × 0.60 or f = 850/3
  9. [A1] f = 280 (283) Hz

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About this question

Topic
Superposition, A-Level Physics (syllabus 9702). Structured question, 9 marks.
Source
A-Level Physics, Oct/Nov 2017 Paper 2 Variant 1, question 3.

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