AQA A-Level Physics 7408
Measurements and Their Errors
Particles and Radiation
Waves
Mechanics and Materials
Electricity
Further Mechanics and Thermal Physics
Fields and Their Consequences
Nuclear Physics
AstrophysicsOptional topic
Medical PhysicsOptional topic
Engineering PhysicsOptional topic
Turning Points in PhysicsOptional topic
ElectronicsOptional topic
Measurements and Their Errors
Limitation of physical measurements
- 9 things to know
- Papers 1 and 3
Overview
Random and systematic error, precision and accuracy, and combining absolute and percentage uncertainties.
What you need to know
Answer each one before you reveal it.
How is percentage uncertainty found, and how do uncertainties combine when adding?
How do uncertainties combine when quantities are multiplied, divided or raised to a power?
How are the extreme lines of best fit used to find uncertainty in a gradient?
How is gradient uncertainty calculated, what is a zero error, and how can it be corrected?
Why are absolute uncertainties added when two measurements are subtracted?
How do you combine uncertainty for a square root, and how many figures should you quote?
When two measurements are multiplied together, how do you combine their uncertainties?
When two measurements are added together, how do you combine their absolute uncertainties?
Questions from this subtopic
Each one with the model answer underneath.
- 1
How do random errors affect readings relative to the true value?
Model answer
Random errors cause readings to scatter unpredictably above and below the true value.
- 2
How can taking repeat measurements help reduce the effect of random errors?
Model answer
Taking repeat measurements allows random errors to partially cancel out, as some readings will be above and some below the true value.
- 3
Why does calculating a mean from repeated measurements reduce random error?
Model answer
Calculating a mean averages out the random scatter, giving a value closer to the true value than any single measurement.
- 4
In what direction do systematic errors shift readings from the true value?
Model answer
Systematic errors shift all readings in the same direction (all too high or all too low) by a consistent amount.
- 5
Can systematic errors be reduced by taking repeat measurements? Explain why.
Model answer
No, because systematic errors affect every reading by the same amount in the same direction, so repeating measurements does not reduce them.
- 6
How can recalibrating an instrument help reduce systematic error?
Model answer
Recalibration adjusts the instrument to give correct readings, removing any consistent offset from the true value.
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