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Time dilation: OCR A‑Level Physics B questions

OCR A-Level Physics B past-paper questions on 5.1.3.2 Time dilation, 2016–2025, with mark schemes and examiner’s reports where available.

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1,881 questions

  1. Q3(b)(ii)

    June 2025 · Paper 2

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  2. Q3(b)(iii)

    June 2025 · Paper 2

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  3. Q20

    June 2024 · Paper 1

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  4. Q21

    June 2023 · Paper 1

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  5. Q13

    June 2022 · Paper 1

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  6. Q10

    November 2020 · Paper 1

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  7. Q2(b)(i)

    November 2020 · Paper 2

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  8. Q2(b)(ii)

    November 2020 · Paper 2

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  9. Q2(c)

    November 2020 · Paper 2

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  10. Q2(d)

    November 2020 · Paper 2

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  11. Q34(a)(ii)

    June 2019 · Paper 1

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  12. Q34(b)

    June 2019 · Paper 1

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  13. Q30

    June 2018 · Paper 1

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  14. Q6(d)(i)

    June 2017 · Paper 2

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  15. Q6(d)(ii)

    June 2017 · Paper 2

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All 15 questions on Time dilation, as a list
  1. June 2025, Paper 2, Q3(b)(ii) (1 mark): Calculate the average velocity of the spaceship during its 42‑year journey. average velocity = m s–1 [1]
  2. June 2025, Paper 2, Q3(b)(iii) (4 marks): Explain by using relevant calculations, why the power output of the RTG when the spaceship lands on WST‑A is approximately 79% of its value at launch. Assume th
  3. June 2024, Paper 1, Q20 (1 mark): A muon is an unstable particle. The half-life of muons measured at rest is 2.2 μs. The half-life of a muon travelling at speed v is measured by an observer as 8
  4. June 2023, Paper 1, Q21 (1 mark): Pions are particles with a half-life of 1.8 × 10–8 s when they are not moving relative to an observer. Accelerated pions are observed to have a half-life of 3.1
  5. June 2022, Paper 1, Q13 (1 mark): Muons are subatomic particles with a decay constant of 4.4 × 105 s–1 when at rest. A muon is travelling at a relative speed of 2.94 × 108 m s–1. What is its obs
  6. November 2020, Paper 1, Q10 (1 mark): 10 Which statement about the relativistic factor γ = is correct? v2 1− c2 A as v tends to c, γ tends to 0 B as v tends to 0, γ tends to ∞ C γ can be used to pre
  7. November 2020, Paper 2, Q2(b)(i) (2 marks): Explain why the ‘ticks’ will be further apart for the observer on the platform than for the passenger on the train. [2]
  8. November 2020, Paper 2, Q2(b)(ii) (2 marks): Use Pythagoras’s theorem to show that, for the shaded triangle in Fig. 2.2, t = . 1 – v 2 c 2 [2]
  9. November 2020, Paper 2, Q2(c) (2 marks): Slow neutrons outside the nucleus have a half-life of 611 s. ‘Fast’ neutrons released in a fission reactor typically have speeds of up to 5.4 × 107 m s−1. Calcu
  10. November 2020, Paper 2, Q2(d) (2 marks): It has been said that, ‘from the point of view of a photon, it takes no time to cross the Universe’. Use the equation in (b)(ii) to explain this statement. [2]
  11. June 2019, Paper 1, Q34(a)(ii) (2 marks): Show that they are travelling at about 0.75 c. [2]
  12. June 2019, Paper 1, Q34(b) (2 marks): The mean lifetime of π− mesons at low speeds is 2.6 × 10−8 s. Calculate the mean distance the fast mesons will travel before decaying. mean distance = m [2]
  13. June 2018, Paper 1, Q30 (1 mark): 30 The relativistic factor c = 2 v 1 - 2 c Which statement about this factor is correct? A At the speed of sound c is close to zero. B c 1 as v c. C c predicts
  14. June 2017, Paper 2, Q6(d)(i) (3 marks): In a measurement it is found that about 9% of the muons remain after travelling through 8 km of atmosphere. Explain why a greater number of muons remain than su
  15. June 2017, Paper 2, Q6(d)(ii) (3 marks): Use your answer to (c) and the measured value of 9% of muons remaining after passing through 8 km of atmosphere to calculate the relativistic factor γ for the m

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