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Radioactivity

Half-life and the randomness of decay

  • 3 things to know
  • Paper 5

Overview

Half-life defined by undecayed nuclei and by activity, the fraction left after one or two half-lives, and why random decay still gives reliable predictions for a large sample.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

A sample contains 8.0 × 10⁸ undecayed nuclei. How many are left undecayed after one half-life?

Key term

What fraction of the original undecayed nuclei is left after two half-lives?

Key term

Why can half-life still be used to make reliable predictions about a radioactive sample?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

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

    Model answer

    It is the time taken for half the undecayed nuclei in a sample to decay.

  2. 2

    State what the half-life of a radioactive isotope means in terms of activity.

    Model answer

    It is the time taken for the activity of a source to fall to half its value.

  3. 3

    A sample contains 8.0 × 10⁸ undecayed nuclei. How many are left undecayed after one half-life?

    Model answer

    4.0 × 10⁸ undecayed nuclei remain.

  4. 4

    Does the half-life of an isotope depend on how large a sample you start with?

    Model answer

    No, the half-life is the same whatever the size of the sample.

  5. 5

    What fraction of the original undecayed nuclei is left after two half-lives?

    Model answer

    One quarter of the original nuclei are left undecayed.

  6. 6

    Can it be predicted when one particular nucleus in a sample will decay?

    Model answer

    No, the decay of any individual nucleus is completely random.

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