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Grade 12 Science · Unit 4: Nuclear physics and the universe

Half-life, contamination and irradiation

Use half-life to predict activity and compare the hazards of contamination and irradiation.

Radioactive decay is random: we cannot predict which nucleus will decay next, but we can predict the behaviour of a large number. The half-life is the time it takes for the number of unstable nuclei (or the activity) to fall to half. After one half-life, half remains; after two, a quarter; after three, an eighth. Half-life can be read from a graph of activity against time.

Irradiation is exposure to radiation from an outside source; the object does not become radioactive. Contamination is unwanted radioactive atoms on or inside something, which keep irradiating it until they decay or are removed. Inside the body, alpha sources are most dangerous because they are strongly ionising; outside the body, beta and gamma are more dangerous because they can penetrate the skin. Precautions include keeping sources in lead boxes, using tongs, limiting time and keeping a distance.

time (days)activity (Bq)123456781002003004005006007008000

Worked example

A sample has an activity of 800 Bq and a half-life of 3 days. What is its activity after 9 days?

  1. 9 days = 3 half-lives.
  2. 800 → 400 → 200 → 100.

Answer:The activity is 100 Bq.

Key words

half-life
time for activity to halve
random
cannot be predicted for one nucleus
irradiation
exposure to radiation from outside
contamination
radioactive atoms on or in an object
Practise this

New questions every time.

NGSS-referenced: HS-PS1-8