Resolution, significant figures and recording data
Quote every reading to the instrument's smallest division — and stay consistent.
Unit 3 (WPH13) is a written practical-skills paper: you are given apparatus, readings and data and asked to take, correct and comment on measurements. The first discipline is reading to the right resolution.
The resolution of an instrument is the smallest change it can detect and display — normally its smallest scale division:
| Instrument | Typical resolution |
|---|---|
| Millimetre ruler | 1 mm |
| Vernier caliper | 0.1 mm (some 0.02 mm) |
| Micrometer screw gauge | 0.01 mm |
| Liquid-in-glass thermometer | 0.5–1 °C |
| Stopwatch (digital) | 0.01 s |
Significant figures follow the resolution. Record every reading from one instrument to a consistent number of significant figures (or decimal places) set by that resolution. A micrometer reading is quoted to 2 decimal places in millimetres (e.g. 4.82 mm); writing 4.8 mm throws precision away, and 4.823 mm claims precision the 0.01 mm scale cannot support.
Uncertainty of a single reading. For an analogue scale the absolute uncertainty is of the smallest division. So a thermometer with 1 °C divisions gives ; a ruler with 1 mm divisions gives per reading. For a digital instrument the uncertainty is taken as the last displayed digit.
Table headings must carry the quantity and its unit, e.g. "Current / A" or "Diameter / mm". Put the unit in the heading, not in every cell.
- Resolution = smallest scale division; quote readings to that resolution.
- Keep significant figures consistent across a column, set by the instrument.
- Single analogue reading uncertainty = ± ½ × smallest division.
- Table headings need quantity + unit, e.g. 'Current I / A'.