Radioactive decay and half-life Edexcel International GCSE Science (Double Award) revision

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In plain words

Some nuclei are unstable and throw out radiation to become more stable. There are three kinds: alpha (stopped by paper), beta (stopped by thin aluminium) and gamma (needs thick lead). Nobody can say when one particular nucleus will decay, but a large number of them follow a reliable pattern: the half-life is the time it takes for half of them to go.

Three things to know

  1. Alpha (a helium nucleus) is the most ionising and is stopped by paper. Beta (a fast electron) is stopped by a few millimetres of aluminium. Gamma (an electromagnetic wave) is the least ionising and needs thick lead to reduce it.
  2. Half-life is the time for half the unstable nuclei in a sample to decay (or for the count rate to halve). Decay is random.
  3. Background radiation is always present, from rocks, cosmic rays, radon gas and medical sources.

Worked example

A sample has a count rate of 240 counts per second and a half-life of 5 minutes. What is the count rate after 15 minutes?

  1. 15 minutes is 3 half-lives.
  2. Halve it three times: 240 → 120 → 60 → 30.
  3. = 30 counts per second.

Tips and tricks

  • Half-life questions: count the half-lives, then keep halving. Draw the arrows.
  • If a background count is given, take it off the readings first.
6 questions, about 2 minutes.

It lands in your notebook with its questions as flashcards.

Radioactive decay and half-life: 6 questions and answers

These are the quiz’s questions. Do the quiz first, then come back here for the ones that got you.

  1. Which radiation is the most ionising?
    • alpha (the answer)
    • beta
    • gamma
    • they are equal

    Alpha particles are heavy and carry a 2+ charge.

  2. What is a beta particle?
    • a helium nucleus
    • a fast-moving electron (the answer)
    • an electromagnetic wave
    • a neutron

    It is emitted when a neutron in the nucleus changes into a proton.

  3. A sample has a half-life of 3 days. What fraction is left undecayed after 9 days?
    • 1/2
    • 1/3
    • 1/8 (the answer)
    • 1/9

    Three half-lives: ½ × ½ × ½.

  4. Which material is needed to absorb most gamma rays?
    • paper
    • thin aluminium
    • plastic
    • thick lead (the answer)

    Gamma rays are very penetrating.

  5. Which is a source of background radiation?
    • mobile phones
    • microwave ovens
    • rocks and soil (the answer)
    • visible light

    Rocks contain radioactive elements and release radon gas.

  6. What happens to a nucleus when it emits an alpha particle?
    • Its proton number goes up by 2.
    • Its proton number goes down by 2 and its nucleon number goes down by 4. (the answer)
    • Nothing changes.
    • Its nucleon number goes up by 4.

    An alpha particle is 2 protons and 2 neutrons.

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