Geiger counter lab – absorption of α, β and γ radiation and the inverse-square law

PhysicsQuantum & Nuclear PhysicsAges 17–18

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A virtual practical with a Geiger–Müller tube: measure and subtract the background count, then count α, β and γ sources through paper, aluminium and lead of chosen thickness and over different distances in air. Counts are random (Poisson) with a √N uncertainty and a results table. The Inverse square screen plots 1/√C against d for a γ source to find the hidden source offset e; the Fields screen shows α, β and γ passing through electric and magnetic fields.

Lesson: Ionising radiation: penetration of α, β and γ, the Geiger counter, background count and the inverse-square law for γ radiation

What it shows

Alpha, beta and gamma radiation differ in how far they penetrate. Alpha particles are stopped by a sheet of paper or a few centimetres of air, beta particles by a few millimetres of aluminium, while gamma rays are only reduced by lead, falling exponentially with its thickness. A Geiger–Müller tube also detects background radiation, which must be measured and subtracted. Radioactive decay is random, so every count varies; counting for longer makes N larger and the percentage uncertainty 1/√N smaller. For gamma rays the corrected count rate falls with the inverse square of distance, so 1/√C against d is a straight line.

How to use

Press Count background, then choose a Source, an Absorber and its Thickness, set Distance d and Count time, and press Start count; each result goes into the table. The Instant speed collects data quickly. On the Inverse square tab, count the γ source at several distances and read e from the 1/√C against d graph. On the Fields tab, choose Magnetic or Electric and change the field strength.

Parameters you can change

  • Screen Absorption, Inverse square (γ), Deflection in fields
  • Radioactive source α (Am-241 type), β (Sr-90 type), γ (Co-60 type)
  • Absorber None, Paper, Aluminium, Lead
  • Absorber thickness 0.1–50 mm
  • Source-to-tube distance d 1–60 cm
  • Count time 10 s, 30 s, 60 s, 100 s, 300 s
  • Field type (Fields screen) Magnetic field, Electric field
  • Magnetic flux density B 0–200 mT
  • Voltage V across the plates 0–50 kV

Questions to explore

  1. Why must the background count rate be measured and subtracted before comparing absorbers?
  2. About how many millimetres of aluminium stop the beta particles completely, and how does lead reduce gamma radiation?
  3. Why is the graph of 1/√C against d a straight line that does not pass through the origin?

Teaching ideas

All guides