IGCSE Physics Detection of Radioactivity Questions and Worked Solutions
50 topic-wise practice questions on Detection of Radioactivity (Unit 5: Nuclear Physics), written to the Cambridge IGCSE Physics 0625 syllabus for 2026–2028, each with a step-by-step worked solution.
Topic guide: Detection of Radioactivity
Background radiation is ionising radiation that is always around us from natural and artificial sources. Radiation is detected with a detector (e.g. Geiger–Müller tube) connected to a counter.
Key formulas
| count rate = counts ÷ time | counts/s or counts/min | Core |
| corrected count rate = measured − background | Extended | Extended |
Prerequisite knowledge
- Ionising radiation basics
Exam tips & common mistakes
- Convert counts/min to counts/s by dividing by 60
- Always correct for background before finding half-life (Extended)
- Background is never zero
Key facts from the syllabus (5.2.1)
- Background radiation is always present
- Main sources: radon gas in the air, rocks and buildings, food and drink, cosmic rays
- Ionising radiation is measured with a detector connected to a counter
- Count rate is measured in counts/s or counts/minute
- Extended subtract the background count rate to find the count rate due to the source alone
Textbook: §5.2 Radioactivity, pp. 260–274
Define background radiation.
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Method: Always present.
State four sources of background radiation.
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Method: Syllabus list.
Name a detector used to measure ionising radiation.
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Method: GM tube.
State what is meant by count rate.
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Method: Counts per unit time.
A counter records 1800 counts in 5.0 minutes. Calculate the count rate in counts/minute.
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Method: Divide by time.
A counter records 240 counts in 1.0 minute. Calculate the count rate in counts/s.
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Method: Divide by 60.
Explain why a count rate is still recorded when no source is present.
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Method: Background radiation.
State the background source that contributes most in many places.
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Method: Radon.
Explain why background count rates are measured over a long time.
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Method: Random decay.
State one man-made source of background radiation.
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Method: Medical.
Explain why people living in some areas receive higher background doses.
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Method: Rocks e.g. granite.
Explain why airline pilots receive more background radiation than people on the ground.
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Method: Cosmic rays.
State the unit used for count rate.
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Method: Counts per time.
A detector records 450 counts in 3.0 minutes. Calculate the count rate.
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Method: Divide.
Calculate the count rate in counts/s if 1200 counts are recorded in 5.0 minutes.
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Method: t = 300 s.
Explain why background radiation is higher in some granite areas.
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Method: Radon from rocks.
State which source of background radiation comes from outer space.
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Method: Cosmic rays.
State one natural source of radiation in food.
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Method: e.g. potassium-40.
State why background radiation cannot be avoided.
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Method: Everywhere.
Describe how a Geiger–Müller tube and counter are used to measure radiation.
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Method: Detector + counter.
Explain why radon is a significant health risk in some homes.
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Method: Inhaled alpha.
Suggest one way to reduce radon levels in a house.
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Method: Ventilation.
State one medical source of artificial background radiation.
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Method: X-rays.
State the most likely detector reading if a GM tube is placed in a room with no radioactive source.
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Method: Background.
A count rate near a source is 85 counts/minute. Background is 15 counts/minute. Calculate the corrected count rate.
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Method: Subtract background.
A source gives 3.6 counts/s with background 0.40 counts/s. Calculate the corrected count rate.
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Method: Subtract.
A counter records 3000 counts in 10 minutes near a source. Background is 20 counts/minute. Calculate the corrected count rate.
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Method: Count rate = 300/min.
A background count of 120 is recorded in 5.0 minutes. With a source, 1720 counts are recorded in 5.0 minutes. Calculate the corrected count rate per minute.
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Method: (1720 − 120) ÷ 5.
Explain why background radiation must be subtracted before calculating the half-life of a source.
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Method: Otherwise count rate never halves correctly.
A detector reads 95 counts/min near a source and 25 counts/min without it. The source is shielded with paper and the reading becomes 25 counts/min. Suggest the radiation emitted.
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Method: Paper stops alpha.
The corrected count rate of a source falls from 400 to 100 counts/min. Background is 30 counts/min. State the measured (uncorrected) readings.
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Method: Add background.
A count rate reading fluctuates between 22 and 31 counts/min with no source. Explain why.
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Method: Randomness.
A count rate is 52 counts/min with a source and 18 counts/min without. Calculate the corrected count rate.
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Method: Subtract.
Background is 0.50 counts/s. A source gives 2400 counts in 10 minutes. Calculate the corrected count rate in counts/s.
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Method: Measured = 4.0 counts/s.
A count of 90 is recorded in 3 minutes with no source. With a source, 1290 counts are recorded in 3 minutes. Calculate the corrected count rate per minute.
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Method: (1290 − 90) ÷ 3.
Explain why a corrected count rate can never be negative in a correct experiment.
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Method: Source adds.
A source is placed at increasing distances from a detector. At large distance the count rate levels off at 22 counts/min. Explain this.
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Method: Background only.
State why the background count should be measured both before and after an experiment.
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Method: Check consistency.
Measured count rates: 0 min: 1030, 10 min: 530, 20 min: 280 counts/min. Background is 30 counts/min. Find the corrected values.
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Method: Subtract.
Explain why a long counting time gives a more accurate count rate.
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Method: Randomness.
Challenge questions
Harder, multi-step questions at the top end of the exam. Attempt these once you are confident with the questions above.
Name four sources of background radiation and explain why the background count varies from place to place.
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Method: Sources.
Explain how a Geiger–Müller tube and counter can be used to measure a count rate.
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Method: Counts/time.
Explain why a single 10-second count is not a reliable measure of background radiation.
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Method: Random.
Explain why people working underground in some mines may receive higher background radiation.
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Method: Radon, rocks.
A source gives 1860 counts in 5.0 minutes. The background is 0.40 counts/s. Calculate the corrected count rate in counts/min.
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Method: Convert units.
Measured count rates: 0 min: 620, 20 min: 320, 40 min: 170 counts/min. Background = 20 counts/min. Find the half-life.
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Method: Correct first.
A student forgets to subtract background (30 counts/min). The measured count rate falls from 330 to 180 counts/min in 6.0 h. State what the student would wrongly conclude and find the correct half-life.
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Method: Correct both readings first.
Explain why the corrected count rate of a long-lived source stays constant over a lesson, but the measured rate fluctuates.
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Method: Randomness.
A detector 1.0 m from a source records 25 counts/min, equal to background. Explain what this suggests about the source's radiation.
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Method: Absorbed by air or weak.
A source placed near a GM tube gives 150 counts/min. With 3 mm aluminium between them it gives 150 counts/min, and with 5 cm lead it gives 22 counts/min. Background is 20 counts/min. Identify the radiation.
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Method: Penetration test.
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