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GCSE Physics · Edexcel 1PH0 · Topic 6C

Half-life

Key points

  • Activity is the number of nuclei decaying per second, in becquerels (Bq).
  • Half-life is the time taken for half the unstable nuclei in a sample to decay, or for the activity to halve.
  • Each isotope has its own half-life, from fractions of a second to billions of years.
  • After nn half-lives the fraction remaining is (12)n\left(\frac{1}{2}\right)^n. For example, after 3 half-lives 18\frac{1}{8} remains.
  • Find the half-life from a graph of activity (or count rate) against time: read off the time for the value to halve.
  • Net decline questions (higher): find the amount lost, e.g. after 2 half-lives the activity has fallen by 34\frac{3}{4} of its starting value.

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You cannot say when one radioactive nucleus will decay, but with billions of them the pattern is very predictable. Half-life captures that pattern and lets you calculate how activity falls over time.

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