Definitions Simplified Revision Notes for A-Level AQA Physics
Revision notes with simplified explanations to understand Definitions quickly and effectively.
Learn about Measurements and their errors for your A-Level Physics Exam. This Revision Note includes a summary of Measurements and their errors for easy recall in your Physics exam
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Definitions
1. Accuracy
Definition: The degree to which a measurement is close to the true or accepted value.
Explanation: Accuracy reflects how well a measured value matches the standard or known value. It considers systematic errors in measurements.
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Example: If a set of scales shows 0.98 kg for a 1 kg calibration weight, it is fairly accurate but slightly off from the true value.
2. Precision
Definition: How close repeated measurements are to each other, regardless of how close they are to the true value.
Explanation: Precision indicates consistency among measurements and is mainly affected by random errors. High precision means the measurements are clustered closely together.
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Example: Suppose you measure the length of a table three times and get 1.57Â m,1.58Â m, and 1.57Â m. These results show high precision, even if the true length is actually 1.60Â m.
3. Random Errors
Definition: Unpredictable variations that cause measurements to scatter around the true value.
Explanation: These errors arise from unpredictable factors, like changes in temperature or electronic noise. They affect precision, but repeated measurements help reduce their impact.
How to minimise:
Repeat measurements and calculate the average.
Use electronic data loggers to reduce human errors.
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Example: In timing a pendulum swing, slight variations in each timing due to reaction time cause random errors. Taking multiple readings and averaging them can reduce this effect.
4. Systematic Errors
Definition: Errors that cause measurements to consistently deviate from the true value by the same amount.
Explanation: These errors affect accuracy and are often due to faulty equipment or flawed experimental techniques.
How to minimise:
Calibrate equipment with a known standard before use.
Use different methods or equipment to cross-check results.
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Example: If a balance is not properly zeroed, every measurement will be consistently too high or too low by the same amount.
5. Repeatability
Definition: The ability of the same experimenter to obtain the same result using the same method and equipment.
Explanation: If a measurement can be repeated under the same conditions with consistent results, it is considered repeatable.
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Example: If you measure the mass of a block three times using the same balance and get 50.2Â g each time, the measurement is repeatable.
6. Reproducibility
Definition: The ability of different experimenters, using different methods or equipment, to obtain the same result.
Explanation: Reproducibility indicates that results are consistent across different conditions, which is critical for verifying experimental findings.
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Example: If one experimenter measures the boiling point of water using a thermometer and another uses a data logger, both getting 100°C at sea level, the measurement is reproducible.
7. Resolution
Definition: The smallest detectable change in a quantity that an instrument can measure.
Explanation: Resolution refers to the instrument's sensitivity to small changes in measurement.
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Example: A digital stopwatch with a resolution of 0.01 seconds can distinguish time differences as small as 0.01 seconds, making it suitable for precise timing experiments.
8. Uncertainty
Definition: The range within which the true value is expected to lie, given a certain level of confidence.
Explanation: All measurements have some degree of uncertainty due to limitations in equipment or measuring techniques.
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Example: If the temperature is measured as 25.0°C±0.5°C, it means the true temperature lies between 24.5°C and 25.5°C.
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