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WorksheetsSystematic Errors & Random Uncertainty
Total questions: 24
Worksheet time: 44mins
A measurement result is considered ________ if it is judged to be close to the true value. It is influenced by random and systematic errors.
Precise
Accurate
An error
Resolution
A quality denoting the closeness of agreement (consistency) between values obtained by repeated measurement. It is influenced by random effects and can be expressed numerically.
Repeatability
Precision
Uncertainty
Resolution
The dashed line in the image represents
The error bars
The uncertainty
Line of best fit
Line of worst fit
Any measurement will have some ____________. This will come from variation in the data obtained and be subject to systematic or random effects. This can be estimated by considering the instruments and the method and will usually be expressed as a range such as 20 ± 2 °C.
Error
Precision
Reproducibility
Uncertainty
The diagram shows a micrometer scale
5.64 mm
7.14 mm
7.16 mm
7.64 mm
A
B
C
D
Accuracy means
the measurements are close to each other
the measurement is close to the true value
the measurements are close to each other
the measurements are close to each other and the true value.
What does the graph represents?
small systematic error, small random error
small systematic error, large random error
large systematic error, small random error
large systematic error, large random error
A fixed quantity xo is measured many times in an experiment that has experimental uncertainty.
precise and accurate
precise but not accurate
not precise but accurate
not precise and not accurate
Which result is not accurate but precise?
A
B
C
D
When performing an experiment, a student should minimise the uncertainty of any measurement.
In which case is the student reducing the systematic error in a measurement?
adjusting a voltmeter needle pointer to the zero position before using it to measure a potential difference
measuring the diameter of a wire at several points and orientations
measuring the mass of 100 paperclips to determine the mass of one paperclip
timing 20 oscillations of a mass on a spring to determine the period of one oscillation
Which graph of the results supports this theory?
A
B
C
D
Systematic errors lead to a lack of:
accuracy in the measurement.
significant digits in the measurement.
precision in the measurement.
gradation of the measuring instrument
Random errors lead to a lack of:
accuracy in the measurement.
significant digits in the measurement.
precision in the measurement.
gradation of the measuring instrument
What is the mass and uncertainty indicated by this electronic balance?
198.61 ± 0.01 g
198.61 ± 0.02 g
198.61 ± 0.05 g
198.61 ± 0.005 g
What is the uncertainty in newtons for this scale on a force spring scale?
± 0.03 N
± 0.1 N
± 0.05 N
± 0.01 N
Which of these is NOT true for systematic errors?
They arise due to errors in the measuring instruments used.
Repeating the observations or increasing the sample size can eliminate them
They are reproducible inaccuracies that are consistently in the same direction.
They arise from the design of the study.
This bullseye demonstrates...
High Accuracy & High Precision
High Accuracy & Low Precision
Low Accuracy & High Precision
Low Accuracy & Low Precision
How close a measurement is to the true value is called..
Accuracy
Precision
Significant
Estimate
Which of the following is the answer for the problem with the correct number of significant digits?
23.91 x 12.861 = 307.50651
308
307.51
307.5
307
What is the temperature and uncertainty indicated by this thermometer?
24.1 ± 0.5 °C
24.05 ± 0.05 °C
24 ± 1 °C
28.0 ± 0.1°C
State the order of magnitude of the following: 539
600
500
10 3
10 2
A pile of sand has a width that ranges from 38 m to 41 m and a length that is approximately 125 m. If the depth varies from 8.8 m to 9.1 m, what is the order of magnitude of the volume ?
10 4
10 3
10 2
10 1
True or False?
When measuring a time manually it is inappropriate to use the precision of the digital timer as the uncertainty in a reading.
True
False
