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A-LevelPhysicsWaves9702/22 · Oct/Nov 2021 · Q46 Marks

A child sits on the ground next to a remote-controlled toy car. At time t = 0, the car begins to move in a straight line directly away from the child. The variation with time t of the velocity of the car along this line is shown in [Figure 4.1]. The car's horn continually emits sound of frequency 925 Hz between time t = 0 and time t = 6.0 s. The speed of the sound in the air is 338 m s⁻¹.

  1. (a)(i)Describe qualitatively the variation, if any, in the frequency of the sound heard, by the child, that was emitted from the car horn: (i) from time t = 0 to time t = 2.0 s[1]
  2. (a)(ii)(ii) from time t = 4.0 s to time t = 6.0 s.[1]
  3. (b)Determine the frequency, to three significant figures, of the sound heard, by the child, that was emitted from the car horn at time t = 3.0 s. frequency = ...................................................... Hz[2]
  4. (c)Determine the time taken for the sound emitted at time t = 4.0 s to travel to the child. time taken = ...................................................... s[2]

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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] decrease(s)
  2. [B1] increase(s)
  3. [C1] fo = fs v / (v + Vs)
  4. [A1] = 925 × 338 / (338 + 12) = 893 Hz
  5. [C1] distance = (½ × 2 × 12) + (2 × 12) (= 36 m)
  6. [A1] time taken = 36 / 338 = 0.11 s

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About this question

Topic
Waves, A-Level Physics (syllabus 9702). Structured question, 6 marks.
Source
A-Level Physics, Oct/Nov 2021 Paper 2 Variant 2, question 4.

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