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Nuclear and Particle Physics

Activity, decay constant and half-life

  • 2 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on activity and A = λN, the decay constant, half-life and its calculation, the protactinium experiment to find half-life, and the straight-line graph used to find the decay constant.

What you need to know

Answer each one before you reveal it.

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Key term

What is the decay constant λ?

Numbers

State the equation relating half-life to decay constant.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation relating activity A to the decay constant λ and number of undecayed nuclei N.

    Model answer

    A = λN

  2. 2

    Calculate the activity when decay constant = 0.0515 s⁻¹, number of undecayed nuclei = 4.80 × 10¹¹.

    Model answer

    Activity = 0.0515 × 4.80 × 10¹¹ = 2.47 × 10¹⁰ Bq.

  3. 3

    Define activity of a radioactive source and state its SI unit.

    Model answer

    Activity is the rate of decay of a radioactive source, measured in becquerels where one becquerel equals one decay per second.

  4. 4

    What is the decay constant λ?

    Model answer

    The probability of decay of a nucleus per unit time.

  5. 5

    Define half-life of a radioactive isotope.

    Model answer

    The time taken for half of the undecayed nuclei in a sample to decay, or for the activity to halve.

  6. 6

    State the equation relating half-life to decay constant.

    Model answer

    t₁/₂ = ln 2 / λ

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