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Radioactivity

Half-life calculations

  • 2 things to know
  • Paper 5

Overview

Activity or nuclei remaining after a number of half-lives, finding a half-life from a fall in activity or from a graph, and the percentage left after three half-lives.

What you need to know

Answer each one before you reveal it.

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Key term

A source has an activity of 800 Bq and a half-life of 6 hours. What is its activity after 24 hours?

Key term

The activity of a source falls from 1600 Bq to 100 Bq in 20 days. What is the half-life of the isotope?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    A source has an activity of 800 Bq and a half-life of 6 hours. What is its activity after 24 hours?

    Model answer

    The activity is 50 Bq, because four half-lives have passed.

  2. 2

    The activity of a source falls from 1600 Bq to 100 Bq in 20 days. What is the half-life of the isotope?

    Model answer

    The half-life is 5 days, because the activity halved four times.

  3. 3

    A sample holds 6.4 × 10⁷ undecayed nuclei of an isotope whose half-life is 3 years. How many are left undecayed after 9 years?

    Model answer

    8.0 × 10⁶ nuclei remain, after three half-lives.

  4. 4

    What percentage of a radioactive sample is left undecayed after three half-lives?

    Model answer

    12.5% of the sample is left undecayed.

  5. 5

    An isotope has a half-life of 15 hours. How long does its activity take to fall to one eighth of its starting value?

    Model answer

    It takes 45 hours, which is three half-lives.

  6. 6

    A graph shows the activity of a source falling from 400 Bq at the start to 200 Bq after 7 hours. What is the half-life?

    Model answer

    The half-life is 7 hours.

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