Radionuclide Imaging & Therapy (AQA A Level Physics)

Exam Questions

27 mins3 questions
1a
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2 marks

Explain why the effective half-life of a radionuclide in a biological system is always less than the physical half-life.

1b
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4 marks

The physical half-life of a radionuclide is 20 days. The nuclide was administered to a patient. Initially the corrected count rate at the patient’s body was 2700 counts s−1. Five days later, the corrected count rate at the same place on the patient was 1200 counts s−1.

Calculate the biological half-life of the nuclide.

1c
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4 marks

Table 1 gives the properties of two radionuclides.

Table 1

Technetium 99 m

Iodine 131

Emitted radiation

gamma

beta and gamma

Half life / hrs

6.0

190

Energy of gamma ray / keV

140

610

By considering information in Table 1 suggest which of these nuclides is more suitable for use as a tracer in medical diagnosis.

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2a
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1 mark

A patient is going to have a PET scan. A small amount of radioisotope is injected into the patient’s bloodstream and the patient is left to relax. The patient then lies on a horizontal table and is moved into the PET scanner. The scanner has many detectors positioned in a vertical circular pattern around the patient.

State what is meant by a radioisotope.

2b
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1 mark

The radionuclide used in the PET scan has a physical half-life of 110 minutes. The radionuclide is excreted from the body with a biological half-life of 185 minutes.

Show that the effective half-life of the radionuclide in the body is about 70 minutes.

2c
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3 marks

Discuss what might be a suitable length of time for the patient to relax between injecting the radionuclide and moving the patient into the PET scanner.

2d
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2 marks

The decay of the radionuclide results in the emission of a positron. Two of the detectors, directly opposite to each other, are triggered as they each receive a gamma photon.

Explain the process in which the gamma photons are created.

2e
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2 marks

Figure 1 shows the head of a patient that is 0.2 m across, placed centrally between two of the many detectors in a PET scanner.

Figure 1

Illustration of a head with two labelled detectors placed either side of the head. The detectors are spaced 0.2 m apart.

To determine the position where the gamma photons are produced between the detectors, the scanner measures the short interval of time ∆t between the triggering of the first detector and the triggering of the second detector.

Discuss, for the detector positions shown in Figure 1, the range of the values of ∆t that the scanner must measure to perform a PET scan on the head. Assume that the speed of the gamma photons in the head is 3 × 108 m s−1 .

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3a
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4 marks

A hospital uses the radioactive isotope technetium-99m as a tracer. Technetium-99m is produced using a Molybdenum-Technetium generator on site at the hospital.

Explain why the value of the half-life of technetium-99m:

  • Makes it suitable for use as a tracer

  • Means that it must be produced in a generator on site.

3b
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4 marks

Technetium-99m emits only gamma rays.

Explain why this makes technetium-99m suitable for use as a tracer.

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