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4.3.2 Different half-lives of radioactive isotopes

4.3.2 Different half-lives of radioactive isotopes

Half-lives vary enormously, and that changes the hazard

Definition

Half-life

The time taken for the count-rate (or activity) of a radioactive source to fall to half its starting value.

  1. Radioactive isotopes have half-lives that range from fractions of a second to billions of years.
  2. The half-life affects how active a source is and how long it stays a hazard.

A short half-life means high activity that does not last long

  1. An isotope with a short half-life decays quickly, so at first it gives out a lot of radiation and has a high activity.
  2. It becomes safe relatively quickly, because most of its unstable nuclei have soon decayed.

A long half-life means lower activity but a hazard that lasts

  1. An isotope with a long half-life decays slowly, so its activity at any moment is lower.
  2. It stays radioactive for a very long time, so it remains a hazard far into the future, which is why some radioactive waste is difficult to store.
Common Mistake
  • A long half-life does not mean more dangerous right now: it means lower activity but a hazard that lasts much longer.
  • A short half-life means intense radiation at first, but the danger passes relatively quickly.
Self review
  • Roughly what range do the half-lives of radioactive isotopes cover?
  • Why does an isotope with a short half-life have a high activity at first?
  • Why does an isotope with a long half-life stay a hazard for a long time?
  • Which type of isotope is harder to store safely as waste, and why?
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Graph comparing a steep activity decay for a short-half-life isotope with a gradual decay for a long-half-life isotope The half-life of a radioactive isotope is the time taken for its activity or count-rate to fall to half its starting value. Half-lives range from fractions of a second to billions of years.

Radioactive decay is random for an individual nucleus, but a large sample follows a predictable pattern. After each half-life, half of the radioactive nuclei present at the start of that interval remain undecayed.

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What does the half-life of a radioactive source measure?

4.3.2 Different half-lives of radioactive isotopes Revision Guide

  1. GCSE
  2. /Physics
  3. /4.3.2 Different half-lives of radioactive isotopes

Revision notes for AQA GCSE Physics 4.3.2 Different half-lives of radioactive isotopes: explanations and worked examples.

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