OCR A-Level Physics B H557
Planning
Implementing
Analysis
Evaluation
Practical Skills
Use of Apparatus and Techniques
Fundamental Data Analysis
Imaging and Signalling
Sensing
Mechanical Properties of Materials
Waves and Quantum Behaviour
Space, Time and Motion
Creating Models
Out Into Space
Our Place in the Universe
Matter: Very Simple
Matter: Hot or Cold
Electromagnetism
Charge and Field
Probing Deep Into Matter
Ionising Radiation and Risk
Creating Models
Determining the half-life of an isotope
- 3 things to know
- Components 01, 02 and 03
Overview
Recall questions on the protactinium generator method, correcting for background, reading a half-life from a decay curve or a logarithmic plot, keeping the geometry fixed, counting statistics, and handling precautions.
What you need to know
Answer each one before you reveal it.
Why must the count rate be corrected for background before the half-life is found?
How is the background count rate measured in a half-life experiment?
Questions from this subtopic
Each one with the model answer underneath.
- 1
Outline how the half-life of protactinium-234 can be measured in a school laboratory.
Model answer
The protactinium is separated into a solvent layer in a sealed bottle, the bottle is held against a Geiger–Müller tube, and the counts are recorded over successive equal intervals as the activity falls.
- 2
Why is protactinium-234 a convenient isotope for a classroom half-life measurement?
Model answer
Its half-life is of the order of a minute, so the whole decay curve can be recorded within a single lesson.
- 3
Why must the count rate be corrected for background before the half-life is found?
Model answer
Background counts add a constant offset that flattens the tail of the curve and makes the half-life come out too long.
- 4
How is the background count rate measured for this experiment?
Model answer
Record the counts over a long interval with the source removed or shielded, then divide the total by that time.
- 5
How is the half-life read from a graph of corrected count rate against time?
Model answer
Read several times at which the corrected rate has halved and average the intervals between them.
- 6
Why is finding the half-life from a logarithmic graph more reliable than reading a single halving?
Model answer
A graph of the natural logarithm of the corrected rate against time uses every data point, so the random scatter is averaged out in the gradient.
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