Skip to content
Dabour HubLEARN · PRACTICE · EXPLORESign inStudent

4.2.7Atomic Structure

Random Nature of Radioactive Decay

5 min read 6 parts Lesson 18 of 30 1 quiz

0%read

Section 1 of 6What '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.

Section 2 of 6Evidence 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.

Section 3 of 6Dice 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.

Section 4 of 6Individual 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

Section 5 of 6Key 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.

Section 6 of 6Exam technique

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.
\n