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A-LevelPhysicsWaves9702/21 · Oct/Nov 2021 · Q49 Marks

(b) A vehicle travels at constant speed around a wide circular track. It continuously sounds its horn, which emits a single note of frequency 1.2kHz. An observer is a large distance away from the track, as shown in the view from above in [Fig. 4.1]. [Fig. 4.2] shows the variation with time of the frequency f of the sound of the horn that is detected by the observer. The time taken for the vehicle to travel once around the track is T.

  1. (a)By reference to the direction of transfer of energy, state what is meant by a longitudinal wave.[1]
  2. (b)(i)Explain why the frequency of the sound detected by the observer is sometimes above and sometimes below 1.2kHz.[2]
  3. (b)(ii)State the name of the phenomenon in (b)(i).[1]
  4. (b)(iii)On [Fig. 4.1], mark with a letter X the position of the vehicle when it emitted the sound that is detected at time T.[1]
  5. (b)(iv)On [Fig. 4.1], mark with a letter Y the position of the vehicle when it emitted the sound that is detected at time 9T/4.[1]
  6. (c)The speed of the sound in the air is 320ms⁻¹. Use [Fig. 4.2] to determine the speed of the vehicle in (b).[3]

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Mark scheme

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

  1. [B1] oscillations (of particles) are parallel to (the direction of) energy transfer
  2. [C1] (frequency varies as) vehicle moves relative to (stationary) observer
  3. [A1] (vehicle) moving towards (observer) gives higher (observed) frequency (than 1.2 kHz) and (vehicle) moving away (from observer) gives lower (observed) frequency (than 1.2 kHz)
  4. [B1] Doppler effect
  5. [B1] position of vehicle labelled 'X' at top (12 o'clock) position on track
  6. [B1] position of vehicle labelled 'Y' at right-hand edge (3 o'clock) position on track
  7. [C1] maximum frequency = 1.40 (kHz) or 1.40 × 10³ (Hz)
  8. [C1] 1.40 = (1.2 × 320) / (320 – v)
  9. [A1] v = 46 m s⁻¹
  10. [C1] minimum frequency = 1.05 (kHz) or 1.05 × 10³ (Hz)
  11. [C1] 1.05 = (1.2 × 320) / (320 + v)
  12. [A1] v = 46 m s⁻¹

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About this question

Topic
Waves, A-Level Physics (syllabus 9702). Structured question, 9 marks.
Source
A-Level Physics, Oct/Nov 2021 Paper 2 Variant 1, question 4.

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