Calculating Activity (SQA National 5 Physics): Revision Note
Exam code: X857 75
Calculating activity
Activity is defined as:
The number of nuclear disintegrations per unit time
Activity is measured in becquerels
The symbol for becquerels is Bq
1 Becquerel is equal to 1 nucleus in the source decaying in 1 second
Objects containing radioactive nuclei are called sources of radiation
Sources of radiation decay at different rates which are defined by their activity
Activity can be calculated using the following relationship:
Where:
= activity measured in becquerels (Bq)
= number of nuclear disintegrations
= time measured in seconds (s)
How does activity vary with time?
The activity of a radioactive source decreases with time
This is because each disintegration (decay) event reduces the overall number of radioactive nuclei in the source
Radioactive decay is a random process
The randomness of radioactive decay can be observed by measuring the count rate of a source using a Geiger-Muller (GM) tube
When the count rate is plotted against time, fluctuations can be seen
These fluctuations provide evidence for the randomness of radioactive decay

The decreasing activity of a source can be shown on a graph against time. The fluctuations show the randomness of radioactive decay
Worked Example
A source of radiation has an activity of 2100 Bq.
Determine the number of nuclear disintegrations in 2 minutes.
Answer:
Step 1: Determine the activity
The activity of the source is 2100 Bq
This means 2100 nuclei decay every second
Step 2: Determine the time period in seconds
The time period is 2 minutes
Each minute has 60 seconds
The time period in seconds is:
2 × 60 = 120 seconds
Step 3: Write out the relevant relationship
Step 4: Rearrange to solve for the number of disintegrations
Multiply both sides by
Step 5: Substitute in the known values to calculate
Step 6: Round to the appropriate amount of significant figures
The least precise input value is 2 s.f.
Therefore, the final answer can only be given to the same precision
Examiner Tips and Tricks
Do not confuse activity and count rate.
Activity is the rate at which unstable nuclei decay, whereas count rate is the rate at which radioactive emissions are detected.
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