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4.2.7Atomic Structure

Random Nature of Radioactive Decay — AQA GCSE Combined Science Trilogy 8464 - Physics Revision Notes & Topical Questions

5 min read 6 parts Lesson 18 of 23

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Part 1 of 4What 'random' means here

Unpredictable individual nuclei
  • Unpredictable individual nuclei It is impossible to say when one particular unstable nucleus will decay.
  • It is also impossible to say which nucleus in a sample will decay next.
Equal chance
  • Equal chance Every unstable nucleus of the same isotope has the same probability of decaying in any given time interval.
Not affected by surroundings
  • Not affected by surroundings Temperature, pressure and chemical reactions do not change the chance of a nucleus decaying.
Only probabilities
  • Only probabilities What can be estimated is the probability that a nucleus decays in a given period of time.

Part 2 of 4Evidence from count readings

1
Place a Geiger-Muller tube near a source, or simply measure background radiation, and set the counter to zero.
2
Record the number of counts after a fixed time, for example one minute.
3
Reset the counter and repeat the measurement several times.
4
Look at the results: for example 32, 11, 25, 16 and 28 show no steady trend or pattern.
5
Conclude that each count comes from a decay, and since the counts fluctuate unpredictably, decay must be a random process.

Part 3 of 4Dice analogy

Rolling a dice for a six
Cannot predict one throw
  • Cannot predict one throw On any single roll you cannot know whether a six will appear, just as you cannot tell when one nucleus will decay.
Known probability
  • Known probability Each roll has a 1 in 6 chance of being a six, like a fixed probability of decay per unit time.
Large numbers behave predictably
  • Large numbers behave predictably Over a thousand rolls you can predict roughly how many sixes will occur, just as a large sample of nuclei decays at a predictable overall rate.

Part 4 of 4Individual nuclei versus large samples

SituationCan it be predicted?Explanation
When one named nucleus decaysNoIt is a matter of chance
Which nucleus decays nextNoAll have the same probability
Roughly how many decay in a timeYes, approximatelyLarge numbers average out the randomness
Effect of heating the sampleNo change in decay rateDecay depends on the nucleus, not the conditions

Key terms

TermMeaning
RandomHappening by chance, so that no individual event can be predicted.
ProbabilityA measure of how likely an event is to occur in a given time or trial.
Geiger-Muller tubeA detector that produces a count each time radiation enters it.
Background radiationLow-level radiation that is always present from natural and man-made sources.
Count rateThe number of detections per unit time recorded by a detector.

Avoid these mistakes

1
Saying a nucleus decays after a set time - it can decay at any moment, and only the probability can be given.
2
Believing that heating or chemically reacting a radioactive substance speeds up its decay; the rate is unaffected.
3
Describing varying counts as a faulty instrument rather than as evidence of random decay.
4
Thinking that the nucleus that has waited longest is 'due' to decay; each nucleus has the same chance at all times.

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