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Nuclear Radiation

Activity, the decay constant and half-life

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on decay being spontaneous and random, the definitions and units of activity and decay constant, and how λ = ln 2 / t½ follows.

What you need to know

Answer each one before you reveal it.

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Numbers

What are the activity of a source and the decay constant, and what are their units?

Numbers

What equation links activity to the decay constant and the number of undecayed nuclei, and what gives the activity after a time t?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does it mean to say that radioactive decay is spontaneous?

    Model answer

    It means the decay is not triggered or altered by any external influence such as temperature, pressure or chemical combination.

  2. 2

    What does it mean to say that radioactive decay is random?

    Model answer

    It means it is impossible to predict which nucleus will decay next or when a particular nucleus will decay; there is only a fixed probability of decay per unit time.

  3. 3

    What experimental evidence shows that decay is a random process?

    Model answer

    Repeated counts taken over equal time intervals with an unchanging source fluctuate about a mean value rather than being identical.

  4. 4

    What is meant by the activity of a radioactive source, and what is its unit?

    Model answer

    Activity is the number of nuclei that decay per unit time, measured in becquerel, where 1 Bq is one decay per second.

  5. 5

    What is meant by the decay constant, and what is its unit?

    Model answer

    The decay constant is the probability that a given nucleus will decay per unit time, measured in s⁻¹.

  6. 6

    State the equation linking activity, decay constant and the number of undecayed nuclei:

    Model answer

    A = λN, where N is the number of undecayed nuclei present.

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