1.2.5Development of Practical Skills in Physics
Observations and Measurements
5 min read 9 parts Lesson 12 of 29 1 quiz Virtual lab
1.2.5 Observations and Measurements — OCR A Level Physics A notes: Choose suitable instruments, use them correctly to take readings with sensible resolution, and record observations without bias.An observation is something noticed, often qualitative (the wire glows red, the pattern spreads out).
- Zero error
- Meniscus and curves
- Fiducial marker
- Choosing meter range
- Worked example 1
- Worked example 2
Section 1 of 9Observing and measuring
An observation is something noticed, often qualitative (the wire glows red, the pattern spreads out). A measurement is quantitative: a number with a unit and an uncertainty. Good practical work records both, but physics conclusions rest on measurements. Observations should be recorded at the time, stating what actually happened rather than what was expected.
Section 2 of 9Choosing an instrument
The right instrument has a resolution (smallest change it can show) that is small compared with the quantity being measured. A useful rule of thumb is that the percentage uncertainty from the instrument should be well below the percentage you hope to achieve overall.
| Quantity | Typical instrument | Typical resolution |
|---|---|---|
| Length of a few cm to 1 m | Metre rule | 1 mm |
| Diameter of wire or thin sheet | Micrometer screw gauge | 0.01 mm |
| Diameter of a tube, small block | Vernier callipers | 0.1 mm or 0.02 mm |
| Time interval | Stopwatch / light gate and timer | 0.01 s / 0.001 s |
| Mass | Electronic balance | 0.1 g or 0.01 g |
| Current, p.d. | Digital meters | last digit shown |
A 1 mm ruler is fine for a 50 cm length (0.2%) but poor for a wire diameter of 0.5 mm, where the micrometer is needed.
Section 3 of 9Reading instruments correctly
Section 4 of 9Uncertainty in a single reading
Even a careful single reading has an uncertainty.
Measuring a quantity that is the difference of two readings, such as a length found as x2 − x1, doubles the absolute uncertainty (see Analysing Quantitative Data, 1.2.2).
Section 5 of 9Good measurement habits
Record every reading immediately with its unit.
Section 6 of 9Planning a set of measurements
Before taking readings, decide the range and spacing.
Section 7 of 9Worked examples
A micrometer reads +0.03 mm when the jaws are closed. A wire reads 0.89 mm. Find the true diameter and the percentage uncertainty if the reading uncertainty is ±0.01 mm.
Worked examplesTrue diameter = 0.89 − 0.03 = 0.86 mm.Percentage uncertainty = 0.01/0.86 × 100% = 1.2%.Diameter = (0.86 ± 0.01) mm.The thickness of a stack of 40 identical sheets of card is 6.8 mm, measured with a rule, with an uncertainty of ±1 mm for the stack. Find the thickness of one sheet and its uncertainty.
Worked examplesThickness of one sheet = 6.8/40 = 0.17 mm.Uncertainty = 1/40 = 0.025 mm, about ±0.03 mm.Percentage uncertainty = 1/6.8 = 15%, compared with >100% if one sheet had been measured directly.A pendulum bob's 25 swings take 41.5 s measured with a hand stopwatch (reaction uncertainty 0.2 s). Find the period, its percentage uncertainty and its absolute uncertainty.
1T = 41.5/25 = 1.66 s.2Percentage uncertainty = 0.2/41.5 = 0.48%.3Absolute uncertainty in T = 0.2/25 = 0.008 s.4T = (1.660 ± 0.008) s.
Section 8 of 9Key terms
| Term | Meaning |
|---|---|
| Resolution | The smallest change in a quantity that an instrument can detect or display. |
| Zero error | A non-zero reading when the true value is zero; it is subtracted from all readings. |
| Parallax error | A misreading caused by viewing a scale from an angle. |
| Fiducial marker | A fixed reference mark used to judge the start and end of a timing. |
| Qualitative | Descriptive, not numerical. |
| Quantitative | Expressed as a number with a unit. |