OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Radioactivity: (h) radioactive dating, e.g. carbon-dating.

    Radioactive dating uses the known decay of a radionuclide to estimate the age of a material.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 11 of 11
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Radioactive dating uses the known decay of a radionuclide to estimate the age of a material. In carbon dating, living things exchange carbon with the atmosphere, so the proportion of carbon-14 remains roughly constant while they are alive. When they die, exchange stops and the carbon-14 decays with a half-life of about 5730 years. Measuring the remaining carbon-14 activity or ratio allows the age to be estimated using N = N₀e^(−λt) or the half-life relationship. The method is limited to materials that were once living and to ages up to roughly 50 000 years, because beyond that too little carbon-14 remains to measure reliably.

    What earns the marks

    • Living organisms exchange carbon with their surroundings, maintaining a roughly constant carbon-14 proportion until they die.
    • After death, carbon-14 decays with a known half-life of about 5730 years, so the remaining proportion indicates the time elapsed.
    • The age can be estimated using N = N₀e^(−λt) or by counting how many half-lives have passed.
    • Carbon dating is limited to once-living material and to ages up to roughly 50 000 years because the remaining activity becomes too small to measure accurately.
    • Other radionuclides with longer half-lives are used to date rocks and minerals over much longer timescales.

    Common mistakes and how to put them right

    • Thinking carbon-14 is stable in dead material.

      Put it right: It continues to decay, which is exactly why the method works.

    • Assuming carbon dating works for any material.

      Put it right: It applies only to things that were once living and exchanged carbon.

    • Ignoring the upper age limit.

      Put it right: After many half-lives the remaining carbon-14 is too small to measure reliably.

    • Confusing half-life with the age of the sample.

      Put it right: The age is found from how much has decayed, not from the half-life alone.

    Exam tips

    • State the assumption that the initial carbon-14 proportion is known and constant in living things.
    • Show the calculation clearly, using either the decay equation or the number of half-lives.
    • Mention the limitation on age range when discussing reliability.

    Try the lesson

    The start of the Radioactivity: (h) radioactive dating, e.g. carbon-dating. lesson, made from checked teaching notes for this specification point.

    Listen

    Radioactive dating uses the known decay of a radionuclide to estimate the age of a material. In carbon dating, living things exchange carbon with the atmosphere, so the proportion of carbon-14 remains roughly constant while they are alive. When they die, exchange stops and the carbon-14 decays with a half-life of about 5730 years. Measuring the remaining carbon-14 activity or ratio allows the age to be estimated using N = N₀e^(−λt) or the half-life relationship. The method is limited to materials that were once living and to ages up to roughly 50 000 years, because beyond that too little carbon-14 remains to measure reliably. A strong answer earns marks for these points. Living organisms exchange carbon with their surroundings, maintaining a roughly constant carbon-14 proportion until they die. After death, carbon-14 decays with a known half-life of about 5730 years, so the remaining proportion indicates the time elapsed. The age can be estimated using N = N₀e^(−λt) or by counting how many half-lives have passed. Carbon dating is limited to once-living material and to ages up to roughly 50 000 years because the remaining activity becomes too small to measure accurately. Exam tip: State the assumption that the initial carbon-14 proportion is known and constant in living things.

    Key words

    Say what each word means before you turn the card.

    Radioactive dating

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    Carbon-14 and half-life

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    Exponential decay in context

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    Limitations of dating methods

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    See every definition
    Radioactive dating
    A method that uses the known decay of a radionuclide to estimate the age of a material.
    Carbon-14 and half-life
    While alive, organisms keep a roughly constant carbon-14 proportion; after death it decays with a half-life of about 5730 years.
    Exponential decay in context
    The age can be estimated using N = N₀e^(−λt) or by counting how many half-lives have passed.
    Limitations of dating methods
    Carbon dating applies only to once-living material and to ages up to roughly 50 000 years, because the remaining activity becomes too small to measure accurately.

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