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O-LevelPhysicsNuclear Physics5054/22 · Oct/Nov 2022 · Q915 Marks

Protactinium-234 (²³⁴₉₁Pa) is a radioactive isotope of protactinium that decays to uranium-234 (²³⁴₉₂U).

  1. (a)Compare the nuclide notation ²³⁴₉₁Pa with the nuclide notation ²³⁴₉₂U and deduce what this shows about what is emitted from a nucleus of protactinium-234 as it decays to uranium-234. Place a tick (✓) in the appropriate boxes of Table 9.1 to show what is deduced from comparing the nuclide notations.[2]
  2. (b)(i)The most abundant isotope of protactinium is protactinium-231. Explain, by referring to their nuclear compositions, why protactinium-231 and protactinium-234 are both isotopes of the same element.[1]
  3. (b)(ii)Explain, by referring to their nuclear compositions, why protactinium-231 and protactinium-234 are different isotopes of that element.[1]
  4. (c)(i)A teacher places a radiation detector on a bench in a school laboratory and switches it on. The teacher measures and records the background radiation count rate. Describe what is meant by 'background radiation' and state two significant sources of the count rate recorded by the teacher.[3]
  5. (c)(ii)The teacher moves a sample of protactinium-234 so that it is next to the detector. Suggest one precaution that ensures that the sample is moved in a safe way.[1]
  6. (c)(iii)The count rate is measured every 20s with the sample present, and then corrected for background radiation. Fig. 9.1 shows a graph of the corrected count rate against time for the protactinium-234 sample. [Figure 9.1] The curve is the best-fit line. Explain why many of the crosses do not lie on the curve.[2]
  7. (c)(iv)Using Fig. 9.1, determine the half-life of protactinium-234. Show your working.[3]
  8. (c)(v)The uranium-234 formed from the protactinium-234 is also radioactive. Its half-life is many thousands of years. Explain why the radiation from uranium-234 does not affect the count rates measured in this experiment.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [B1] tick in 'yes' for 'a beta-particle is emitted'
  2. [B1] tick in 'no' for 'an alpha-particle is emitted' AND tick in 'no' for 'a gamma ray is emitted'
  3. [B1] (both have) 91 protons / equal numbers of protons (in nucleus)
  4. [B1] (they have) different numbers of neutrons (in nucleus) / nucleons
  5. [B1] (count that is) always present or due to the environment / surroundings or not deliberately introduced or not being tested
  6. [B2] any two from: rock sources (e.g. benches, building materials, human body, Earth crust), air sources (e.g. radon), cosmic sources (e.g. Sun, space)
  7. [B1] use tongs / tweezers / forceps or wear lead(-lined) clothing / lead(-lined) gloves or wear goggles or reduce time of exposure or keep distance of separation large
  8. [B1] (radioactive) emission is a random process / occurs at random intervals
  9. [B1] measurements fluctuate (about an average value)
  10. [C1] (coordinates of) two points from curve, e.g. (0, 58) and (70, 29)
  11. [C1] (coordinates of) two points from curve and at least two half-lives apart, e.g. (0, 58) and (138, 14.5) or 64.0 ≤ t ≤ 74.0
  12. [A1] 66.0 s < τ < 73.5 s
  13. [B1] (large half-life because of) slow rate of decay
  14. [B1] radiation / count rate due to ²³⁴₉₂U imperceptible / very much less than that of ²³⁴₉₁Pa or (nearly) all of measured radiation / count rate due to ²³⁴₉₁Pa

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About this question

Topic
Nuclear Physics, O-Level Physics (syllabus 5054). Structured question, 15 marks.
Source
O-Level Physics, Oct/Nov 2022 Paper 2 Variant 2, question 9.

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