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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.
Example

Why is a spill of a long half-life isotope a long-term problem?

It keeps decaying and giving out radiation for a very long time, so the area stays contaminated for years, even though its activity at any moment may be fairly low.

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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The half-life of a radioactive isotope is the time taken for its count-rate or activity to fall to half its starting value. It is written as T1/2T_{1/2}T1/2​.

Radioactive decay is random for an individual nucleus, but a large sample follows a predictable pattern. Half-lives range from fractions of a second to billions of years, depending on the isotope.

After each half-life, the activity halves:

A0→A02→A04→A08 A_0 \rightarrow \frac{A_0}{2} \rightarrow \frac{A_0}{4} \rightarrow \frac{A_0}{8} A0​→2A0​​→4A0​​→8A0​​

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What defines an isotope of an element?

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. Open the guide for explanations and worked examples. Written against the AQA GCSE Physics (8463) specification, so the content matches what's examinable rather than general Physics background.

Revision guides