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Questions and Answers
What is the range of objects that can be measured using a micrometre screw gauge?
What is the range of objects that can be measured using a micrometre screw gauge?
0.01 mm
What is the maximum length that can be measured using a micrometre screw gauge?
What is the maximum length that can be measured using a micrometre screw gauge?
0.01 mm
What is the range of measurements that a vernier scale can be used to make?
What is the range of measurements that a vernier scale can be used to make?
0.1 mm
Explain the difference between accuracy and precision in a measurement.
Explain the difference between accuracy and precision in a measurement.
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What is the purpose of a Vernier scale? What are its advantages?
What is the purpose of a Vernier scale? What are its advantages?
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If range given e.g. $0$ to $20$, try to get a measurement from a large spread of the range. What is the purpose of this?
If range given e.g. $0$ to $20$, try to get a measurement from a large spread of the range. What is the purpose of this?
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Systematic error is a type of error that can be eliminated by repeating or averaging the measurement.
Systematic error is a type of error that can be eliminated by repeating or averaging the measurement.
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Accuracy refers to the degree of agreement between the result of a measurement and the true value of the quantity.
Accuracy refers to the degree of agreement between the result of a measurement and the true value of the quantity.
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Random error can be reduced by repeating and averaging the measurements.
Random error can be reduced by repeating and averaging the measurements.
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Precision refers to the consistency of repeated measurements of the same quantity, regardless of whether it is correct or not.
Precision refers to the consistency of repeated measurements of the same quantity, regardless of whether it is correct or not.
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When values are added or subtracted, add absolute error to find the uncertainty in the result.
When values are added or subtracted, add absolute error to find the uncertainty in the result.
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Give an example of when you would add percentage errors while calculating the combined uncertainty.
Give an example of when you would add percentage errors while calculating the combined uncertainty.
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Give an example of when you would multiply the percentage error with the power while calculating the combined uncertainty.
Give an example of when you would multiply the percentage error with the power while calculating the combined uncertainty.
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What is the difference between actual error and the number of decimal places used for a quantity?
What is the difference between actual error and the number of decimal places used for a quantity?
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When recording a calculated quantity, the final result should have the same number of significant figures as the measured quantity.
When recording a calculated quantity, the final result should have the same number of significant figures as the measured quantity.
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In an experiment, how can you minimize random errors in your measurements?
In an experiment, how can you minimize random errors in your measurements?
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When calculating the area of a circle, the actual error is the difference between the measured area and the theoretical area of the circle.
When calculating the area of a circle, the actual error is the difference between the measured area and the theoretical area of the circle.
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In general, how many readings should you take in an experiment for an accurate and reliable measurement?
In general, how many readings should you take in an experiment for an accurate and reliable measurement?
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Give a basic example of a systematic error in an experiment.
Give a basic example of a systematic error in an experiment.
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Give a basic example of a random error in an experiment.
Give a basic example of a random error in an experiment.
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Flashcards
Micrometer Screw Gauge
Micrometer Screw Gauge
A tool for measuring objects up to 0.1 mm.
Systematic Error
Systematic Error
A consistent error in measurement, always in the same direction.
Random Error
Random Error
Inaccurate measurements due to inconsistent factors.
Accuracy
Accuracy
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Precision
Precision
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Absolute Uncertainty
Absolute Uncertainty
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Fractional Uncertainty
Fractional Uncertainty
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Percentage Uncertainty
Percentage Uncertainty
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Combining Errors
Combining Errors
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Uncertainty in addition/subtraction
Uncertainty in addition/subtraction
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Uncertainty in multiplication/division
Uncertainty in multiplication/division
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Uncertainty in powers
Uncertainty in powers
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Significant Figures
Significant Figures
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Ruler uncertainty
Ruler uncertainty
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Protractor uncertainty
Protractor uncertainty
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Stopwatch uncertainty
Stopwatch uncertainty
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Ammeter uncertainty
Ammeter uncertainty
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Error in experiments
Error in experiments
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Error in apparatus
Error in apparatus
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Experimental Improvement
Experimental Improvement
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Study Notes
General Tips
- When given a measurement range (e.g., 0 to 20), try to obtain measurements across the entire range.
- Record all intermediate measurements to calculate the final value.
- Include all necessary values in a table with appropriate units.
Micrometer Screw Gauge
- Measures objects up to 0.1 mm.
- The sliding scale is 0.9 mm long and divided into 10 equal divisions.
- Place the object between the anvil and spindle.
- Rotate the thimble until the object is firmly held.
- Add the main scale reading and the rotating scale reading.
Vernier Scale
- Measures objects up to 0.01 mm.
- The sliding scale's divisions match the main scale divisions.
- Subtract the sliding scale reading from the main scale reading.
Systematic and Random Errors
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Systematic Errors:*
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Constant errors in one direction (too high or too low).
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Cannot be eliminated by repeating or averaging.
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Reduce inaccuracy if small.
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Accuracy: agreement between measurement and true value.
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Random Errors:*
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Random fluctuations around a true value.
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Can be reduced by repeating and averaging.
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Reduce imprecision if small.
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Precision: agreement of repeated measurements (doesn't imply correctness).
Uncertainties in Measurement
- For a quantity x = (2.0 ± 0.1) mm, the absolute uncertainty is ±0.1 mm.
- Fractional uncertainty = Δx / x = 0.05 .
- Percentage uncertainty = (Δx / x) × 100% = 5%.
Combining Errors
- Addition/Subtraction:* Add absolute errors.
- Multiplication/Division:* Add percentage errors.
- Powers:* Multiply percentage error by the power.
Instrument Uncertainties
- Ruler: ±0.1 cm
- Protractor: ±2°
- Stopwatch: (Max - Min) / 2
Treatment of Significant Figures
- Error should be recorded to one significant figure.
- Decimal places in the calculated quantity equal decimal places in the error.
- Give the calculated quantity equal to or one more significant figures than the measured data.
Errors in Experiments
- General consideration of errors in measurements.
Errors in Apparatus
- Taking multiple readings is better than two.
- Plotting graphs to visualize data and identify trends.
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Description
Test your knowledge on various measurement techniques, including micrometer screw gauges and vernier scales. This quiz covers key concepts such as systematic and random errors, as well as how to accurately record and interpret measurements. Perfect for students looking to enhance their understanding of precision in physics experiments.