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Radioactive decay and half-life: Edexcel A‑Level Physics questions

Every Edexcel A-Level Physics exam question on Radioactive decay and half-life (specification points 168–173), 2016–2025, with its mark scheme and examiner’s report.

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1,540 questions

  1. Q8

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 8: Some rocks contain polonium. The polonium is radioactive, and decays to a stable isotope of lead. Which of the following graphs shows how the number N of lead a
  2. Q18(a)

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 18(a): Complete the following nuclear equation to represent the decay of caesium. (2) 0ν– 137 – + 0 55Cs → .....Ba + .....β ..... ..... ..... ..... e ..... .....
  3. Q18(b)(i)

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 18(b)(i): The activity of 137Cs in 1 kg of sediment. Calculate the number of atoms of (3) 137Cs = Number of atoms of
  4. Q18(b)(ii)

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 18(b)(ii): Calculate the time taken for 10% of the 137Cs atoms to have decayed. (2) Time taken =
  5. Q4(a)(i)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 4(a)(i): Student A set up the apparatus as shown. source GM tube counter d Student B used the same distance d but rotated the GM tube by 90°, as shown below. source GM t
  6. Q4(a)(ii)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 4(a)(ii): Explain two modifications to the experimental method which would improve the accuracy of the data. (4)
  7. Q4(b)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 4(b): Student A suggests that the investigation into the inverse square law for a gamma radiation source could be carried out successfully using a radium‑226 source.
  8. Q3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 3: The isotope 221 87Fr undergoes a series of alpha and beta decays before forming 205 81Tl. Which row of the table shows the number of alpha and beta particles em
  9. Q19(a)(i)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 19(a)(i): State what is meant by spontaneous and random in this context. (2)
  10. Q19(a)(ii)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 19(a)(ii): Explain why the decay constant of an isotope can be determined even though nuclear decay is random. (2)
  11. Q19(b)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 19(b): A radioactive source used in a school laboratory emits alpha and beta radiation. Describe how the percentage of the activity due to beta radiation may be determ
  12. Q19(c)(i)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 19(c)(i): Determine the percentage of the initial activity that would be expected today for the americium‑241 source. half-life of americium-241 = 432 years (3) Expected
  13. Q19(c)(ii)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 19(c)(ii): The decay products of americium are unstable and undergo a series of further decays. The table shows the first three decays in this sequence. Isotope Decay prod
  14. Q7(a)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 7(a): Complete the nuclear equation for the decay of radon. (2) 220 .....α 86Rn → ..... .....Po + ..... ..... ..... ..... ..... ..... ..... ..... .....
  15. Q7(b)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 7(b): Radon is produced in the ground and escapes into the atmosphere. Explain why this is a safety hazard. (2)
  16. Q7(c)(i)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 7(c)(i): Explain why a current is produced in the decay chamber. (2)
  17. Q7(c)(ii)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 7(c)(ii): A teacher is demonstrating the operation of the decay chamber to her class. She squeezes the bottle to introduce radon into the chamber. She claims that within
  18. Q7

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 7: Carbon‑14 is a radioactive isotope with a decay constant of 1.2 × 10 –4 year –1. The fossil of a plant contains 24% of the amount of carbon‑14 that would have b
  19. Q10

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 10: A radioactivity monitoring badge is worn by people who might be exposed to radiation. The badge is made from photographic film wrapped in thin paper and then he
  20. Q10

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 10: A student used a Geiger-Müller (GM) tube to determine a value for the background count. He recorded the count for 2 minutes, every 15 minutes, as shown in the t
All 62 questions on Radioactive decay and half-life, as a list
  1. June 2025, Paper 2, Q8 (1 mark): Some rocks contain polonium. The polonium is radioactive, and decays to a stable isotope of lead. Which of the following graphs shows how the number N of lead a
  2. June 2025, Paper 2, Q18(a) (2 marks): Complete the following nuclear equation to represent the decay of caesium. (2) 0ν– 137 – + 0 55Cs → .....Ba + .....β ..... ..... ..... ..... e ..... .....
  3. June 2025, Paper 2, Q18(b)(i) (3 marks): The activity of 137Cs in 1 kg of sediment. Calculate the number of atoms of (3) 137Cs = Number of atoms of
  4. June 2025, Paper 2, Q18(b)(ii) (2 marks): Calculate the time taken for 10% of the 137Cs atoms to have decayed. (2) Time taken =
  5. June 2025, Paper 3, Q4(a)(i) (3 marks): Student A set up the apparatus as shown. source GM tube counter d Student B used the same distance d but rotated the GM tube by 90°, as shown below. source GM t
  6. June 2025, Paper 3, Q4(a)(ii) (4 marks): Explain two modifications to the experimental method which would improve the accuracy of the data. (4)
  7. June 2025, Paper 3, Q4(b) (2 marks): Student A suggests that the investigation into the inverse square law for a gamma radiation source could be carried out successfully using a radium‑226 source.
  8. June 2024, Paper 2, Q3 (1 mark): The isotope 221 87Fr undergoes a series of alpha and beta decays before forming 205 81Tl. Which row of the table shows the number of alpha and beta particles em
  9. June 2024, Paper 2, Q19(a)(i) (2 marks): State what is meant by spontaneous and random in this context. (2)
  10. June 2024, Paper 2, Q19(a)(ii) (2 marks): Explain why the decay constant of an isotope can be determined even though nuclear decay is random. (2)
  11. June 2024, Paper 2, Q19(b) (4 marks): A radioactive source used in a school laboratory emits alpha and beta radiation. Describe how the percentage of the activity due to beta radiation may be determ
  12. June 2024, Paper 2, Q19(c)(i) (3 marks): Determine the percentage of the initial activity that would be expected today for the americium‑241 source. half-life of americium-241 = 432 years (3) Expected
  13. June 2024, Paper 2, Q19(c)(ii) (3 marks): The decay products of americium are unstable and undergo a series of further decays. The table shows the first three decays in this sequence. Isotope Decay prod
  14. June 2024, Paper 3, Q7(a) (2 marks): Complete the nuclear equation for the decay of radon. (2) 220 .....α 86Rn → ..... .....Po + ..... ..... ..... ..... ..... ..... ..... ..... .....
  15. June 2024, Paper 3, Q7(b) (2 marks): Radon is produced in the ground and escapes into the atmosphere. Explain why this is a safety hazard. (2)
  16. June 2024, Paper 3, Q7(c)(i) (2 marks): Explain why a current is produced in the decay chamber. (2)
  17. June 2024, Paper 3, Q7(c)(ii) (3 marks): A teacher is demonstrating the operation of the decay chamber to her class. She squeezes the bottle to introduce radon into the chamber. She claims that within
  18. June 2023, Paper 2, Q7 (1 mark): Carbon‑14 is a radioactive isotope with a decay constant of 1.2 × 10 –4 year –1. The fossil of a plant contains 24% of the amount of carbon‑14 that would have b
  19. June 2023, Paper 2, Q10 (1 mark): A radioactivity monitoring badge is worn by people who might be exposed to radiation. The badge is made from photographic film wrapped in thin paper and then he
  20. June 2022, Paper 2, Q10 (1 mark): A student used a Geiger-Müller (GM) tube to determine a value for the background count. He recorded the count for 2 minutes, every 15 minutes, as shown in the t
  21. June 2022, Paper 2, Q13 (4 marks): Actinium-225 and bismuth-210 are radioactive isotopes. A sample of each isotope is prepared so that each sample has the same number of nuclei initially. Explain
  22. June 2022, Paper 2, Q21(a) (2 marks): Rubidium decays to strontium via β− decay. Complete the nuclear equation representing the decay. β− + ν– Rb → 87 Sr + 37 e (2)
  23. June 2022, Paper 2, Q21(b) (5 marks): A sample of Moon rock from the Apollo 11 mission was analysed to determine the age of the rock. When the sample was analysed the number of rubidium atoms was NR
  24. June 2022, Paper 2, Q21(c) (1 mark): Give a reason why the half-life of the rubidium isotope is hard to determine. (1)
  25. June 2022, Paper 2, Q21(d) (2 marks): Recent investigations suggest that the half-life of the rubidium isotope may be larger than the traditionally accepted value. Explain how this would affect the
  26. June 2022, Paper 3, Q8(a) (2 marks): Deduce whether alpha radiation or beta radiation from the inside of the bottle is detected by the GM tube. (2)
  27. June 2022, Paper 3, Q8(b)(i) (4 marks): Determine the half-life of the protactinium. (4) Half-life of protactinium =
  28. June 2022, Paper 3, Q8(b)(ii) (2 marks): Explain why the count rate doesn’t reach zero. (2)
  29. June 2022, Paper 3, Q12(a)(i) (2 marks): Complete the nuclear equation for the decay of caesium-137. 55Cs → Ba + β− + 0 0νe 137 (2)
  30. June 2022, Paper 3, Q12(a)(ii) (4 marks): An activity of 2.35 × 1012 Bq per m3 of water in the reservoir was measured. It is suggested that a safe level for the activity of all water in the reservoir wo
  31. June 2022, Paper 3, Q12(b) (6 marks): The most common radionuclide amongst the fission products in the fuel was iodine-131, which decays with a half-life of 8.0 days to form a stable isotope of the
  32. November 2021, Paper 2, Q20(a)(i) (2 marks): Show that the decay constant for uranium is about 5 × 10−18 s−1 half-life of uranium = 1.41 × 1017 s (2)
  33. November 2021, Paper 2, Q20(a)(ii) (6 marks): Calculate the percentage of uranium, by mass, in the glass. area of GM tube window = 6.36 × 10−5 m2 surface area of vase = 0.0177 m2 background count rate = 525
  34. November 2021, Paper 2, Q20(a)(iii) (2 marks): The uranium decays by emitting alpha particles. Criticise the method used to determine the percentage of uranium in the vase. (2)
  35. November 2021, Paper 3, Q2(a) (3 marks): Criticise the student’s method for determining the count at this position. (3)
  36. November 2021, Paper 3, Q2(b) (5 marks): From his results the student determined that the activity of the source was 3.0 Bq. Comment on his value for the activity of the source. (5)
  37. November 2021, Paper 3, Q4(a) (1 mark): State what is meant by spontaneous decay. (1)
  38. November 2021, Paper 3, Q4(b) (6 marks): Explain why there is an exponential decrease in the rate of decay for a sample containing a large number of unstable nuclei. (6)
  39. October 2020, Paper 2, Q10 (1 mark): A detector is placed 30 cm from a gamma source, the count rate is 64 counts per minute. The detector is then placed 60 cm from the source. The background rate i
  40. October 2020, Paper 2, Q16(a)(i) (2 marks): The uranium isotope 238 92U becomes the lead isotope 206 82Pb through a series of radioactive decays. Calculate the number of α particles and the number of β pa
  41. October 2020, Paper 2, Q16(a)(ii) (3 marks): The half-life of 238 92U is 4.47 × 109 years. The half-lives of the other stages in the decay to 206 82Pb are relatively so short that they can be ignored. Ther
  42. October 2020, Paper 3, Q4 (6 marks): *4 Radium is a radioactive element. The most common isotope of radium has a half-life of almost two thousand years. A sample of radium can remain at a higher te
  43. June 2019, Paper 2, Q4 (1 mark): The radium isotope "ggRa is unstable and undergoes a series of a and f emissions until a stable isotope of lead 202Pb is formed. Which of the following nuclear
  44. June 2019, Paper 2, Q18(a) (2 marks): Give reasons why the sealed plastic bag is suitable for collecting the gas. (2)
  45. June 2019, Paper 2, Q18(b)(i) (4 marks): Show that the activity of the thorium-230 in the mantle is about 4.0 x 10° Bq. 230 g of thorium-230 contains 6.02 x 1023 atoms half-life of thorium-230 = 75400
  46. June 2019, Paper 2, Q18(b)(ii) (4 marks): Determine the volume of helium gas that could be collected in a year as a result of alpha emission. Assume that the temperature is 22.0°C and the pressure is 1.
  47. June 2018, Paper 2, Q5 (1 mark): Select the row of the table that describes the relative ionisation and relative penetration of nuclear radiations. Most ionising Most penetrating A Į Į B Į Ȗ C
  48. June 2018, Paper 2, Q7 (1 mark): A nucleus of protactinium, 91 231PaGHFD\VE\HPLWWLQJDQĮSDUWLFOH The nucleus formed is A 233Am 95 B 235 Np 93 C 227Ac 89 D 229Fr 87
  49. June 2018, Paper 2, Q18(a)(i) (3 marks): In a sample of 1.0 g of phosphogypsum, the activity of radium-226 is 1.3 Bq. Calculate the number of nuclei of radium-226 in this sample. (3) Number of nuclei =
  50. June 2018, Paper 2, Q18(a)(ii) (3 marks): Calculate the time in years it would take before this sample reached the permitted level of decay rate. (3) Time = years
  51. June 2017, Paper 2, Q19(a) (2 marks): Potassium‑40 undergoes β– decay, producing a stable isotope of calcium. Complete the nuclear equation for this decay. (2) 19K → ....Ca + ....β 40 .... .... ....
  52. June 2017, Paper 2, Q19(b)(i) (2 marks): The potassium chloride sample has a mass of 300 mg. Show that the number of nuclei of potassium‑40 in the sample is about 3 × 1017. number of potassium nuclei i
  53. June 2017, Paper 2, Q19(b)(ii) (3 marks): Show that the activity of this sample is about 5 Bq. half‑life of potassium‑40 = 1.25 × 109 years (3)
  54. June 2017, Paper 2, Q19(b)(iii) (3 marks): With no sample in front of the Geiger‑Müller tube, a count rate of 15 counts per minute is recorded. When the potassium chloride test sample is placed next to t
  55. June 2017, Paper 2, Q19(b)(iv) (2 marks): Explain a possible reason why only a low proportion of the decays are detected. (2)
  56. June 2017, Paper 2, Q19(c) (1 mark): The science department also has a sample of strontium‑90. This undergoes beta decay with a half‑life of 29 years. State why the half‑life of potassium-40 makes
  57. June 2017, Paper 3, Q10(a) (2 marks): Describe how to determine the corrected count rate from the source. (2)
  58. June 2017, Paper 3, Q10(b)(i) (2 marks): Explain why this arrangement could lead to more accurate data. (2)
  59. June 2017, Paper 3, Q10(b)(ii) (2 marks): Explain another modification to the experimental method which would improve the accuracy of the data. (2)
  60. June 2017, Paper 3, Q10(c)(i) (1 mark): Draw a line of best fit on the graph. (1)
  61. June 2017, Paper 3, Q10(c)(ii) (4 marks): The student concluded that the graph was consistent with the gamma radiation intensity obeying an inverse square law. Discuss the extent to which the data obtai
  62. June 2017, Paper 3, Q10(d) (2 marks): It is suggested that the investigation into the way in which gamma radiation spreads out from a source, using the apparatus as shown in (b), could be carried ou

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