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Forced vibrations and resonance: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.6.1.4 Forced vibrations and resonance, 2008–2025, with mark schemes and examiner’s reports where available.

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  2. Q04.5

    June 2025 · Paper 3A

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  3. Q06.3

    June 2023 · Paper 1

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  4. Q06.4

    June 2023 · Paper 1

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  6. Q01.5

    November 2020 · Paper 3A

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  7. Q01.6

    November 2020 · Paper 3A

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  8. Q01.7

    November 2020 · Paper 3A

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  9. Q32

    June 2019 · Paper 1

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  11. Q07.3

    June 2017 · Paper 1

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  12. Q8

    June 2016 · PHYA4 Section A (old spec)

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  13. Q1(a)

    June 2015 · PHYA4 Section B (old spec)

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  14. Q1(b)(i)

    June 2015 · PHYA4 Section B (old spec)

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  15. Q1(b)(ii)

    June 2015 · PHYA4 Section B (old spec)

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  16. Q9

    June 2014 · PHYA4 Section A (old spec)

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  17. Q10

    June 2012 · PHYA4 Section A (old spec)

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  18. Q8

    January 2012 · PHYA4 Section A (old spec)

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  19. Q9

    June 2011 · PHYA4 Section A (old spec)

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  20. The start of question 5

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All 23 questions on Forced vibrations and resonance, as a list
  1. June 2025, Paper 1, Q31 (1 mark): A spring with a spring constant of 50 N m−1 is attached to a rigid horizontal bar. An object of mass m is attached to the bottom of the spring. When the bar is
  2. June 2025, Paper 3A, Q04.5 (3 marks): Due to damping, only a small number of oscillations occurs after the test tube is released. The student wants to produce a greater number of oscillations for a
  3. June 2023, Paper 1, Q06.3 (2 marks): Explain what is meant by resonance. [2 marks]
  4. June 2023, Paper 1, Q06.4 (3 marks): Figure 16 shows a ship moving through continuous waves of wavelength 118 m and velocity 14.2 m s−1. The ship is moving steadily at 8.0 m s−1 relative to the sea
  5. June 2022, Paper 1, Q05.6 (2 marks): A lamp is used to project shadow images of the block and pendulum bob on a screen. Both shadows appear to move with SHM across the screen. Figure 11 shows the i
  6. November 2020, Paper 3A, Q01.5 (1 mark): Table 2 shows results for An and the corresponding value of ln(An / m) for certain values of n. Table 2 n An / m ln(An / m) 2 0.238 −1.435 4 0.225 7 0.212 −1.55
  7. November 2020, Paper 3A, Q01.6 (2 marks): Plot on Figure 4 a graph of ln(An / m) against n. [2 marks] Figure 4
  8. November 2020, Paper 3A, Q01.7 (2 marks): It can be shown that An = A0 δ −n where A0 is the amplitude of release of the pendulum δ is a constant called the damping factor. Explain how to find δ from you
  9. June 2019, Paper 1, Q32 (1 mark): A metal panel is driven to vibrate at different frequencies. The amplitude a of the vibration is measured at each frequency. The graph shows the variation of am
  10. June 2017, Paper 1, Q07.2 (2 marks): Calculate the frequency at which the mass attached to spring B oscillates with maximum amplitude. [2 marks] frequency = Hz
  11. June 2017, Paper 1, Q07.3 (4 marks): Figure 11 shows how the amplitude of the oscillations of the mass varies with frequency for spring A. Figure 11 The investigation is repeated with the mass atta
  12. June 2016, PHYA4 Section A (old spec), Q8 (1 mark): The diagram shows a string XY supporting a heavy pendulum P and four pendulums A, B, C and D of smaller mass. Pendulum P is set in oscillation perpendicular to
  13. June 2015, PHYA4 Section B (old spec), Q1(a) (4 marks): A mass is attached to one end of a spring and the other end of the spring is suspended from a support rod, as shown in Figure 1. Figure 1 The support rod oscill
  14. June 2015, PHYA4 Section B (old spec), Q1(b)(i) (1 mark): Are the oscillations of the pendulum more heavily damped when the cone oscillates with the metal ring on it, when it oscillates without the ring, or does the pr
  15. June 2015, PHYA4 Section B (old spec), Q1(b)(ii) (3 marks): Explain your answer to part (b)(i). [3 marks]
  16. June 2014, PHYA4 Section A (old spec), Q9 (1 mark): A periodic force is applied to a lightly-damped object causing the object to oscillate. The graph shows how the amplitude A of the oscillations varies with the
  17. June 2012, PHYA4 Section A (old spec), Q10 (1 mark): An oscillatory system, subject to damping, is set into vibration by a periodic driving force of frequency f. The graphs, A to D, which are to the same scale, sh
  18. January 2012, PHYA4 Section A (old spec), Q8 (1 mark): A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct? A The applied force prevents th
  19. June 2011, PHYA4 Section A (old spec), Q9 (1 mark): Which one of the following statements always applies to a damping force acting on a vibrating system? A It is in the same direction as the acceleration. B It is
  20. January 2011, PHYA4 Section B (old spec), Q5(c) (3 marks): The length of PQ is 0.40m. When the wire is vibrating, transverse waves are propagated along the wire at a speed of 64ms–1. Explain why the wire is set into lar
  21. January 2010, PHYA4 Section A (old spec), Q8 (1 mark): Which one of the following statements concerning forced vibrations and resonance is correct? A An oscillating body that is not resonating will return to its nat
  22. June 2008, PA04B (2008 spec), Q1(c) (2 marks): 1 (c) In practice, the vertical oscillations of a car are greatly reduced by fitting dampers (known as shock absorbers) to the suspension system. Figure 2 shows
  23. June 2008, PA04B (2008 spec), Q1(d) (2 marks): 1 (d) An experiment is carried out to investigate the rattling of internal components of a car at certain engine speeds. When a loudspeaker connected to an ac s

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