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Radioactivity

Half-life and the randomness of decay

  • 3 things to know
  • Paper 6 (Physics)

Overview

Half-life in terms of nuclei and count rate, why decay is random and identical nuclei decay at different moments, why a large sample still has a reliable half-life that does not change, finding a half-life from two count rates, and modelling decay with dice.

What you need to know

Answer each one before you reveal it.

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Key term

Why is it impossible to say which nucleus in a sample will decay next?

Key term

What is meant by saying that radioactive decay is random?

Key term

If individual decays cannot be predicted, why does a sample still have a reliable half-life?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by the half-life of a radioactive source?

    Model answer

    It is the average time taken for half of the unstable nuclei in a sample to decay.

  2. 2

    How can half-life be described in terms of the reading taken on a detector?

    Model answer

    It is the time taken for the measured count rate from the source to fall to half its starting value.

  3. 3

    Why is it impossible to say which nucleus in a sample will decay next?

    Model answer

    Because radioactive decay is a random process, so no nucleus can be picked out in advance.

  4. 4

    What is meant by saying that radioactive decay is random?

    Model answer

    Every undecayed nucleus has the same chance of decaying in the next moment, and nothing can be done to make a particular one decay.

  5. 5

    Two identical unstable nuclei sit side by side. Will they decay at the same moment?

    Model answer

    No, one may decay almost at once and the other may last for a very long time.

  6. 6

    If individual decays cannot be predicted, why does a sample still have a reliable half-life?

    Model answer

    Because a sample holds an enormous number of nuclei, so the average behaviour of all of them is very predictable.

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