Quick Quiz on Uncertainties

1.
An experiment to measure the speed of a toy car is repeated several times. The results are similar but not identical. This could be due to approximate uncertainty.

2.
The results of an experiment produce a straight line graph but it does not pass through the origin. This may be due to uncertainty.

3.
The acceleration of a girl falling is repeatedly measured under identical conditions.
The results are: a(ms-2): 9.7, 10.3, 9.6, 10.0
Calculate the best estimate for the acceleration.
acceleration = ms-2.

4. A uncertainty will tend to affect all results in the same way.

5. By taking more readings you can reduce the approximate uncertainty.

6.
What type of device has a "scale-reading" uncertainty of +/- a half of its smallest division?

7.A voltage is measured as 25 V (+/- 20%).
The absolute error for this measurement is +/- V.

8.The equation: error = (max - min) / n
is used to calculate approximate uncertainty.

9.During an experiment the following readings are recorded.

QuantityValueUncertaintyUnits
current6.4+/- 0.8A
time95+/- 15s
voltage12+/- 3V

is the quantity with the largest percentage uncertainty.

10.A metre stick has the end marked zero worn away by 2 mm.

This will introduce a uncertainty.

11.A pupil's reaction time is repeatedly measured and produces these results.

t (s): 0.25, 0.21, 0.24, 0.17

The mean value of these results for the pupil's reaction time is t = 0.22 s.

The approximate random uncertainty in this mean value is +/- s.

12.A timer records a value of (4.0 +/- 0.8) s.

The percentage error in this reading is %.

13.To calculate the power of a lightbulb a pupil measures the current as 2.4 A +/- 4% and the voltage as 12.7 V +/- 2%.

Using P = I V the overall percentage uncertainty in the final value for the power is %.

14.
What type of device has a "scale-reading" uncertainty of +/- the smallest division on the scale?

15.A voltmeter is used to check the voltage output of a 24 V powersupply. The meter has an uncertainty of +/- 0.1 V
The same meter is then used to check a 12 V battery.

Assuming that both sources are working properly, which source will produce the largest percentage error in its reading?

See your overall score.