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A-LevelPhysicsNuclear physics9702/41 · May/June 2018 · Q138 Marks

13 (a) State what is meant by radioactive decay. (b) The variation with time t of the number N of technetium-101 nuclei in a sample of radioactive material is shown in Fig. 13.1. [Figure 13.1] (i) Use Fig. 13.1 to determine the activity, in Bq, of the sample of technetium-101 at time t = 14.0 minutes. Show your working. activity = .............................................. Bq (ii) Without calculating the half-life of technetium-101, use your answer in (i) to determine the decay constant λ of technetium-101. λ = .............................................. s⁻¹

  1. (a)State what is meant by radioactive decay.[2]
  2. (b)(i)Use Fig. 13.1 to determine the activity, in Bq, of the sample of technetium-101 at time t = 14.0 minutes. Show your working. activity = .............................................. Bq[4]
  3. (b)(ii)Without calculating the half-life of technetium-101, use your answer in (i) to determine the decay constant λ of technetium-101. λ = .............................................. s⁻¹[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [B1] emission of particles/radiation by unstable nucleus
  2. [B1] spontaneous emission
  3. [B1] use of graph to determine half-life = 14 minutes
  4. [C1] hence λ = ln 2 / (14 × 60) (s⁻¹)
  5. [C1] N at 14 minutes = 4.4 × 10⁷ AND A = λN
  6. [A1] activity = 4.4 × 10⁷ × ln 2 / (14 × 60) = 3.6 × 10⁴ Bq
  7. OR
  8. [(B1)] correct tangent drawn at time t = 14 minutes
  9. [(C1)] magnitude of gradient of tangent identified as activity
  10. [(C1)] correct working for gradient leading to activity
  11. [(A1)] activity = 3.6 × 10⁴ Bq
  12. [C1] 3.6 × 10⁴ = λ × 4.4 × 10⁷ OR λ = ln 2 / (14.0 × 60)
  13. [A1] λ = 8.2 × 10⁻⁴ s⁻¹

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About this question

Topic
Nuclear physics, A-Level Physics (syllabus 9702). Structured question, 8 marks.
Source
A-Level Physics, May/June 2018 Paper 4 Variant 1, question 13.

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