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Progressive waves: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.3.1.1 Progressive waves, 2008–2025, with mark schemes and examiner’s reports where available.

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  1. Q09

    June 2025 · AS Paper 2

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  2. Q15

    June 2025 · AS Paper 2

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  3. The start of question 07

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  4. Q13

    June 2024 · Paper 1

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  5. The start of question 03

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  6. Q01.1

    June 2023 · Paper 3A

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  7. Q02.3

    June 2023 · AS Paper 1

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  8. Q17

    June 2023 · AS Paper 2

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  9. Q18

    June 2022 · Paper 1

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  10. Q01.1

    June 2022 · Paper 3A

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  11. Q01.2

    June 2022 · Paper 3A

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  12. Q01.3

    June 2022 · Paper 3A

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  13. Q03.1

    June 2022 · AS Paper 1

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  14. Q03.2

    June 2022 · AS Paper 1

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  15. Q15

    June 2022 · AS Paper 2

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  16. Q16

    June 2022 · AS Paper 2

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  17. Q17

    November 2021 · Paper 1

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  18. Q15

    November 2021 · AS Paper 2

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  19. Q15

    November 2020 · Paper 1

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  20. Q16

    November 2020 · Paper 1

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All 63 questions on Progressive waves, as a list
  1. June 2025, AS Paper 2, Q09 (1 mark): The minimum distance between two points on a progressive wave with a phase difference of π 2 is 0.040 m. The frequency of the wave is 400 Hz. What is the speed
  2. June 2025, AS Paper 2, Q15 (1 mark): A cylindrical beaker contains water. The diameter of the water surface is 200 mm. A pencil is dipped into the centre of the surface at time t = 0 A circular wav
  3. June 2024, Paper 1, Q07.2 (2 marks): Determine, in m s−1, the speed of one of the progressive waves. [2 marks] speed = m s−1
  4. June 2024, Paper 1, Q13 (1 mark): A laser emits light of wavelength 600 nm for 10 ns. What is the number of complete waves emitted by the laser? [1 mark] A 5 × 1017 B 5 × 1012 C 5 × 108 D 5 × 10
  5. June 2024, AS Paper 1, Q03.1 (2 marks): The frequency of the first harmonic is 147 Hz. Calculate the speed of the wave travelling in the string. [2 marks] speed of wave = m s−1
  6. June 2023, Paper 3A, Q01.1 (1 mark): What is the maximum duty cycle of the stroboscope? Tick () one box. [1 mark] 6.0 × 10−5 3.0 × 10−4 9.0 × 10−3 4.5 × 10−2
  7. June 2023, AS Paper 1, Q02.3 (3 marks): The phase difference between A and B shown in Figure 3 is 137°. Show that the time interval labelled t in Figure 3 is approximately 8 × 10−16 s. [3 marks]
  8. June 2023, AS Paper 2, Q17 (1 mark): Two aerials A1 and A2 receive radio waves from the same distant transmitter T. The waves have a frequency of 88 MHz. The phase difference between the waves rece
  9. June 2022, Paper 1, Q18 (1 mark): A longitudinal wave of frequency 660 Hz travels through a medium. The wave speed is 330 m s−1. Which statement describes the motion of a particle in the wave? [
  10. June 2022, Paper 3A, Q01.1 (1 mark): Which control on the oscilloscope should be used to centre the trace vertically on the screen? Tick () one box. [1 mark] X-shift Y-gain Y-shift
  11. June 2022, Paper 3A, Q01.2 (3 marks): The distance between L and R in Figure 1 is 0.870 m. Deduce the speed of sound in the steel rod. [3 marks] speed of sound = m s−1
  12. June 2022, Paper 3A, Q01.3 (4 marks): A student repeats the experiment using a steel rod of twice the length. Explain: • how using the longer rod affects the waveform displayed • any changes needed
  13. June 2022, AS Paper 1, Q03.1 (2 marks): The frequency of the infrared radiation is 3.8 × 1014 Hz. Each pulse has a duration of 6.0 ns. Calculate the number of cycles in each pulse. [2 marks] number of
  14. June 2022, AS Paper 1, Q03.2 (2 marks): A and B reflect and return to the satellite. The travel time is the time between the emission of a pulse and its return to the satellite. The difference in the
  15. June 2022, AS Paper 2, Q15 (1 mark): Two points P and Q on a progressive wave are separated by distance d. The phase difference between P and Q is θ rad. What is the wavelength? [1 mark] A 2 d π B
  16. June 2022, AS Paper 2, Q16 (1 mark): A long spring is used to demonstrate wave motion. The spring lies horizontally on a table. One end of the spring is attached to a wall. The free end of the spri
  17. November 2021, Paper 1, Q17 (1 mark): The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave. Which is correct for this wave? [1 mark] A
  18. November 2021, AS Paper 2, Q15 (1 mark): A progressive wave travels along a rope in the direction M to N. X marks a point on the rope. The wave has a frequency of 5.0 Hz, a wavelength of 1.0 m and an a
  19. November 2020, Paper 1, Q15 (1 mark): A wave travels across the surface of water. The diagram shows how the displacement of water particles at the surface varies with distance. Which row correctly d
  20. November 2020, Paper 1, Q16 (1 mark): The diagram shows the cross-section of a progressive transverse wave travelling at 24 cm s−1 on water. The amplitude of the wave is 2.0 cm and the frequency is
  21. November 2020, AS Paper 2, Q12 (1 mark): A wave travels along a water surface. The variation with time of the displacement of a water particle at the surface is shown. What properties of the wave are r
  22. November 2020, AS Paper 2, Q13 (1 mark): Two points on a progressive wave are out of phase by 0.41 rad. What is this phase difference? [1 mark] A 23° B 47° C 74° D 148°
  23. June 2019, Paper 3A, Q03.1 (2 marks): The output potential difference (pd) of the signal generator is displayed on the oscilloscope, as shown in Figure 16. Figure 16 The time-base setting of the osc
  24. June 2019, AS Paper 2, Q15 (1 mark): A sonar transmitter on a ship produces pulses of sound waves. Each pulse of sound waves contains 12 complete oscillations. The frequency of these waves is 8.0 k
  25. June 2018, AS Paper 2, Q19 (1 mark): Two points on a progressive wave have a phase difference of rad The speed of the wave is 340 m s−1 What is the frequency of the wave when the minimum distance b
  26. June 2017, Paper 1, Q13 (1 mark): The graph shows how the vertical height of a travelling wave varies with distance along the path of the wave. The speed of the wave is 20 cm s–1. What is the pe
  27. June 2017, AS Paper 2, Q03.1 (3 marks): Show that the wavelength of the light is 600 nm. [3 marks]
  28. June 2017, AS Paper 2, Q03.2 (2 marks): Determine the phase difference, in rad, between the incident and reflected waves shown in Figure 9. [2 marks] phase difference = rad
  29. June 2016, AS Paper 2, Q12 (1 mark): What is the phase difference between two points 0.16 m apart on a progressive sound wave of frequency 256 Hz? [1 mark] speed of sound = 330 m s–1 A π 8 B π 6 C
  30. Specimen, Paper 1, Q06.2 (1 mark): Read through the following passage and answer the questions that follow it. Measuring the speed of sound in air 5 10 After the wave nature of sound had been ide
  31. Specimen, Paper 1, Q06.3 (1 mark): Read through the following passage and answer the questions that follow it. Measuring the speed of sound in air 5 10 After the wave nature of sound had been ide
  32. Specimen, Paper 1, Q06.4 (2 marks): Read through the following passage and answer the questions that follow it. Measuring the speed of sound in air 5 10 After the wave nature of sound had been ide
  33. Specimen, Paper 1, Q06.6 (2 marks): Read through the following passage and answer the questions that follow it. Measuring the speed of sound in air 5 10 After the wave nature of sound had been ide
  34. Specimen, Paper 1, Q06.7 (2 marks): END OF SECTION A Section B Each of Questions 7 to 31 is followed by four responses, A, B, C, and D. For each question select the best response.
  35. Specimen, Paper 2, Q06.5 (4 marks): Section B Each of Questions 7 to 31 is followed by four responses, A, B, C, and D
  36. June 2016, PHYA2 (old spec), Q6(a) (2 marks): Explain what is meant by a progressive wave. [2 marks] ______________________________________________________________________________ __________________________
  37. June 2016, PHYA2 (old spec), Q6(b)(i) (1 mark): the amplitude of the wave [1 mark] amplitude = _________________________ mm
  38. June 2016, PHYA2 (old spec), Q6(b)(ii) (1 mark): the wavelength of the wave [1 mark] wavelength = ___________________________ m
  39. June 2016, PHYA2 (old spec), Q6(b)(iii) (1 mark): the frequency of the wave [1 mark] frequency = __________________________ Hz
  40. June 2016, PHYA2 (old spec), Q6(b)(iv) (1 mark): the speed of the wave. [1 mark] speed = ________________________ m s–1
  41. June 2014, PHYA2 (old spec), Q7(a) (1 mark): Explain what is meant by the frequency of a wave. [1 mark]
  42. June 2014, PHYA2 (old spec), Q7(c) (2 marks): In order to produce an image with sufficient detail, the wavelength of the ultrasound must be 0.50mm. The speed of the ultrasound in body tissue is 1540ms–1. Ca
  43. June 2013, PHYA2 (old spec), Q6(a)(i): points A and B on the wave
  44. June 2013, PHYA2 (old spec), Q6(a)(ii) (2 marks): points A and C on the wave. (2 marks)
  45. June 2013, PHYA2 (old spec), Q6(d)(i) (1 mark): Define the frequency of a progressive wave. (1 mark)
  46. June 2013, PHYA2 (old spec), Q6(d)(ii) (2 marks): Calculate the wavelength of the wave if its speed is 4.5 × 103ms–1. wavelength m (2 marks)
  47. January 2013, PHYA2 (old spec), Q7(b)(i) (2 marks): The frequency of the microwaves is 9.4GHz. Calculate the wavelength of the waves. wavelength = m (2 marks)
  48. June 2012, PHYA2 (old spec), Q6(a)(ii) (2 marks): State the phase relationship between X and Y X and Z (2 marks)
  49. June 2012, PHYA2 (old spec), Q6(b)(i) (2 marks): Show that the speed of a progressive wave on this string is about 125ms–1 (2 marks)
  50. June 2012, PHYA2 (old spec), Q6(b)(ii) (3 marks): Calculate the time taken for the string at point Z to move from maximum displacement back to zero displacement. answer = s (3 marks)
  51. June 2012, PHYA2 (old spec), Q7(b)(i) (1 mark): clearly indicate and label the wavelength of wave B (1 mark)
  52. January 2012, PHYA2 (old spec), Q7(a) (2 marks): Define the amplitude of a wave. (2 marks)
  53. January 2012, PHYA2 (old spec), Q7(b) (3 marks): The wave travels to the right. Describe how the vertical displacement of the knot varies over the next complete cycle. (3 marks)
  54. June 2010, PHYA2 (old spec), Q3(a) (1 mark): Define the amplitude of a wave. (1 mark)
  55. January 2010, PHYA2 (old spec), Q4(a)(iii) (2 marks): Calculate the speed of a progressive wave on this string. answer = ms–1 (2 marks)
  56. June 2009, PHYA2 (old spec), Q5(a)(i) (1 mark): Calculate the wavelength of the wave. answer m (1 mark)
  57. June 2009, PHYA2 (old spec), Q5(a)(ii) (2 marks): The frequency of the wave is 22 Hz. Calculate the speed of the wave. answer m s –1 (2 marks)
  58. June 2009, PHYA2 (old spec), Q5(a)(iii) (2 marks): State the phase difference between points X and Y on the string, giving an appropriate unit. answer (2 marks)
  59. June 2009, PHYA2 (old spec), Q5(b) (2 marks): Describe how the displacement of point Y on the string varies in the next half-period.
  60. January 2009, PHYA2 (old spec), Q5(b)(i) (2 marks): The stationary wave in Figure 4 has a frequency of 150 Hz. The string PQ has a length of 1.2 m. Calculate the wave speed of the waves forming the stationary wav
  61. June 2008, PA04A (2008 spec), Q3 (2 marks): 3 The graph shows, at a particular instant, the variation of the displacement of the particles in a transverse progressive water wave, of wavelength 4 cm, trave
  62. January 2008, PA04A (2008 spec), Q4 (2 marks): 4 A wave of frequency 5 Hz travels at 8 km s –1 through a medium. What is the phase difference between two points 2 km apart? A zero B π rad 2 C π rad D 3π rad
  63. January 2008, PA04B (2008 spec), Q1(b) (4 marks): (b) Figure 1 shows the undisturbed position of a string stretched between the two points, P and Q, which are 3.6 m apart. The string is vibrated transversely at

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