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- 1. Multiple ChoiceCalculate the absolute uncertainty of this measurement:
2.64A±1.5%±1.5A±0.04A±3.96A±0.396 - 2. Multiple ChoiceCalculate the absolute uncertainty of this measurement:
5.89m±3.2%±0.19m±0.19cm±0.019cm±1.9m - 3. Multiple ChoiceCalculate the absolute uncertainty of this measurement:
9.76s±0.001%±0.10ms±0.01ms±0.10s±0.01s - 4. Multiple ChoiceState the value from these measurements:
55cm, 57cm, 54cm55cm±1.5cm55.3cm±1.3cm55.3±0.1cm55cm±0.1cm - 5. Multiple ChoiceState the value from these measurements:
12mA, 15mA, 15mA14mA±1.5mA14mA±3mA14mA±0.1mA14mA±1mA - 6. Multiple ChoiceState the value from these measurements:
3g ,2g, 5g, 3g3g±0.5%3.25g±1%3.25g±0.5%3g±1% - 7. Multiple ChoiceState the result of this calculation:
26mm±3mm + 7mm±1mm33mm±4mm33mm±0.26mm33mm±0.02mm33mm±3mm - 8. Multiple ChoiceState the result of this calculation:
26mm±3mm + 7mm±1mm33mm±4mm33mm±0.26mm33mm±0.02mm33mm±3mm - 9. Multiple ChoiceState the result of this calculation:
5.89m±5% x 8.71m±4%51.30m±9%51.30m±20%51.30m±1%51.30m±4.5% - 10. Multiple Choice
You measure a time interval with a digital clock that displays the time shown. What is the % uncertainty in t2 ?
0.3%
0.5%
1%
2%
- 11. Multiple Choice
A student measures two lengths as follows:
T = 10.0 +/- 0.1 cm
S = 20.0 +/- 0.1 cm.
The student calculates:
FT, the fractional uncertainty in T
FS, the fractional uncertainty in S
FT–S, the fractional uncertainty in (T – S)
FT+S, the fractional uncertainty in (T + S).
Which of these uncertainties has the largest magnitude?
FT
FS
FT–S
FT+S
- 12. Multiple Choice
Natalie measures the mass and speed of a glider. The percentage uncertainty in her measurement of the mass is 3% and in the measurement of the speed is 10%. Her calculated value of the kinetic energy of the glider will have an uncertainty of
30%
23%
13%
10%
- 13. Multiple Choice
Four students measure a time interval that is known to be 1.734 s.The measurement recorded by each student is shown.Which measurement is the most accurate?
1 s
1.7 s
1.83 s
1.604 s
- 14. Multiple Choice
The power P dissipated in a resistor of resistance R is calculated using the expression P = V2/R
where V is the potential difference (p.d.) across the resistor. The percentage uncertainty in V is 5% and in R is 2%.
What is the percentage uncertainty in P ?
3%
7%
8%
12%
- 15. Multiple Choice
Which experimental technique reduces the systematic error of the quantity being investigated?
adjusting an ammeter to remove its zero error before measuring a current
measuring several internodal distances on a standing wave to find the mean internodal distance
measuring the diameter of a wire repeatedly and calculating the average
timing a large number of oscillations to find a period
- 16. Multiple Choice
A student makes measurements from which she calculates the speed of sound as 327.66 m s–1.
She estimates that her result is accurate to ±3 %.
Which of the following gives her result expressed to the appropriate number of significant figures?
327.7 m s–1
328 m s–1
330 m s–1
300 m s–1
- 17. Multiple Choice
In a simple electrical circuit, the current in a resistor is measured as (2.50 ± 0.05) mA. The resistor is marked as having a value of 4.7Ω ± 2 %.
If these values were used to calculate the power dissipated in the resistor, what would be the percentage uncertainty in the value obtained?
2 %
4 %
6 %
8 %
- 18. Multiple Choice
A quantity x is to be determined from the equation x = P – Q.
P is measured as 1.27 ± 0.02m.
Q is measured as 0.83 ± 0.01m.
What is the percentage uncertainty in x to one significant figure?
0.4 %
2 %
3 %
7 %
- 19. Multiple Choice
A student uses a digital ammeter to measure a current. The reading of the ammeter is found to fluctuate between 1.98A and 2.02A.
The manufacturer of the ammeter states that any reading has a systematic uncertainty of ±1%.
Which value of current should be quoted by the student?
(2.00 ± 0.01)A
(2.00 ± 0.02)A
(2.00 ± 0.03)A
(2.00 ± 0.04)A
- 20. Multiple ChoiceA mass is dropped from rest, and falls through a distance of 2.0 m in a vacuum. An observer records the time taken for the mass to fall through this distance using a manually operated stopwatch and repeats the measurements a further two times. The average result of these measured times, displayed in the table below, was used to determine a value for the acceleration of free fall. This was calculated to be 9.8 ms–2.
Which statement best relates to the experiment?The measurements are precise and accurate with no evidence of random errors.The measurements are not accurate and not always recorded to the degree of precision of the measuring device but the calculated experimental result is accurate.The measurements are not always recorded to the degree of precision of the measuring device but are accurate. Systematic errors may be present.The range of results shows that there were random errors made but the calculated value is correct so the experiment was successful. - 21. Multiple ChoiceWhich of the following is a valid statement?A measurement that is not precise can be accurate.A measurement that is precise is always accurate.A measurement that is not precise will always be inaccurate.Repeated measurements will always increase accuracy and precision.
- 22. Multiple ChoiceThe masses and weights of different objects are independently measured. The graph is a plot of weight versus mass that includes error bars.
These experimental results suggest thatthe measurements show a significant systematic error but small random error.the measurements show a significant random error but small systematic error.the measurements are precise but not accurate.the weight of an object is proportional to its mass. - 23. Multiple ChoiceA student takes measurements of the current in a resistor of constant resistance and the potential difference (p.d.) across it. The readings are then used to plot a graph of current against p.d. There is a systematic error in the current readings.
How could this be identified from the graph?At least one anomalous data point can be identified.The data points are scattered about the straight line of best fit.The graph is a curve, not a straight line.The straight line graph does not pass through the origin. - 24. Multiple ChoiceThe diagram shows the stem of a Celsius thermometer, marked to show initial and final temperature values.
What is the temperature change expressed to an appropriate number of significant figures?14°C20.5°C21°C22.0°C - 25. Multiple ChoiceAn ammeter has a zero offset error. This fault will affectneither the precision nor the accuracy of the readings.only the precision of the readings.only the accuracy of the readings.both the precision and the accuracy of the readings.
- 26. Multiple ChoiceThe power dissipated in a resistor of resistance R carrying a current I is equal to I2R . The value of I has an uncertainty of ±2% and the value of R has an uncertainty of ±5%. The value of the uncertainty in the calculated power dissipation is0.8%7%9%20%
- 27. Multiple ChoiceThe diagram shows an experiment to measure the speed of a small ball falling at constant speed through a clear liquid in a glass tube.
Which expression calculates the fractional uncertainty in the value of this speed?ABCD - 28. Multiple Choice
The dashed line in the image represents
The error bars
The uncertainty
Line of best fit
Line of worst fit
- 29. Multiple Choice
The solid blue lines in the image represent...
The error bars
The uncertainty
Line of best fit
Line of worst fit
- 30. Multiple Choice
The black lines either side of the points are
The error bars
The spread of data
Line of best fit
Line of worst fit
- 31. Multiple Choice
To find the uncertainty in the gradient..
Use y=mx + c
Look at the spread of the error bars
Gradient of line of worst fit x 2
Gradient of line of worst fit - gradient of line of best fit
- 32. Multiple Choice
Which of these statements is true
Anomalous data should be included when drawing any trends
The line of worst fit only must pass through all error bars (excluding anomalous data)
The line of best fit only must pass through all error bars (excluding anomalous data)
Both the line of best fit and the line of worst fit must pass through all error bars (excluding anomalous data)
- 33. Multiple Choice
When you add or subtract two quantities, you...
add the uncertainty
add or subtract the percentage uncertainty
multiply the two percentage uncertainty
- 34. Multiple Choice
When you multiply or divide two quantities, you...
add the percentage uncertainties
subtract the percentage uncertainties
add the absolute uncertainties
- 35. Multiple Choice
When a quantity is raised to a power, you...
multiply the percentage uncertainty by that power
divide the percentage uncertainty by that power
add the percentage uncertainty to that power
multiply the absolute uncertainty by that power
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