6.5 Scientific Method, Measurement Systems, and Laboratory Instruments
Key Takeaways
- A scientific hypothesis must be testable and falsifiable; a theory is a well-substantiated explanation supported by repeated evidence, not a guess.
- A controlled experiment changes one independent variable, measures the dependent variable, and holds all other variables constant.
- The seven SI base units are the metre, kilogram, second, ampere, kelvin, mole, and candela, and every other SI unit is derived from them.
- Metric prefixes scale by powers of ten: kilo is 10³, centi is 10⁻², milli is 10⁻³, and micro is 10⁻⁶.
- Accuracy is closeness to the true value while precision is repeatability, and a measurement can be precise without being accurate.
6.5 Scientific Method, Measurement Systems, and Laboratory Instruments
Core Principle: General Science does not only ask what — it asks how we know. A predictable share of the 15 scored GS items test the scientific process, the units that science is written in, and the instrument used to measure a given quantity. At roughly 48 seconds per item these are among the fastest points on the subtest, because none of them require calculation.
1. The Scientific Method
The method is a cycle, not a straight line: results feed back into new questions.
OBSERVE -> QUESTION -> HYPOTHESIS -> EXPERIMENT -> ANALYSE -> CONCLUDE
^ |
+------------------------ REPLICATE & REFINE ----------------------------+
The vocabulary the exam tests
| Term | Precise meaning | The trap |
|---|---|---|
| Hypothesis | A testable, falsifiable proposed explanation, usually phrased as "if… then…" | It is not "an educated guess" in the casual sense; if no possible observation could disprove it, it is not a hypothesis |
| Theory | A well-substantiated explanation of some aspect of the natural world, supported by a large body of repeatedly confirmed evidence | In science a theory is stronger than a hypothesis, not weaker — this reversal is the single most common GS trap |
| Scientific law | A description, often mathematical, of what happens under stated conditions | A law describes; a theory explains. A law does not "graduate" into a theory or vice versa |
| Fact | A verified observation | Facts are the raw material, not the conclusion |
| Inference | A conclusion drawn from evidence | Distinct from a direct observation |
Designing a controlled experiment
| Element | Definition | Example: does fertiliser increase plant height? |
|---|---|---|
| Independent variable | The one thing the experimenter deliberately changes | Amount of fertiliser applied |
| Dependent variable | The outcome measured | Plant height after four weeks |
| Controlled variables | Everything held constant so it cannot confound the result | Species, soil, water, light, pot size, temperature |
| Control group | The group receiving no treatment, used as the baseline for comparison | Identical plants with no fertiliser |
Change one variable at a time. If two variables change together, no conclusion can be attributed to either. A placebo is an inert treatment given to a control group; a double-blind design conceals group assignment from both subject and experimenter to prevent bias.
Correlation is not causation. Two quantities can move together because one causes the other, because both are driven by a third factor, or by coincidence. Only a controlled experiment distinguishes among those.
2. The SI System
Science is written in the International System of Units (SI), built on seven base units.
| Quantity | Base unit | Symbol |
|---|---|---|
| Length | metre | m |
| Mass | kilogram | kg |
| Time | second | s |
| Electric current | ampere | A |
| Thermodynamic temperature | kelvin | K |
| Amount of substance | mole | mol |
| Luminous intensity | candela | cd |
Everything else is derived: the newton (kg·m/s²) for force, the joule (N·m) for energy, the watt (J/s) for power, the pascal (N/m²) for pressure, the hertz (1/s) for frequency, the coulomb (A·s) for charge, and the volt (W/A) for potential difference.
Metric prefixes
| Prefix | Symbol | Factor | Prefix | Symbol | Factor | |
|---|---|---|---|---|---|---|
| giga | G | $10^{9}$ | deci | d | $10^{-1}$ | |
| mega | M | $10^{6}$ | centi | c | $10^{-2}$ | |
| kilo | k | $10^{3}$ | milli | m | $10^{-3}$ | |
| hecto | h | $10^{2}$ | micro | µ | $10^{-6}$ | |
| deka | da | $10^{1}$ | nano | n | $10^{-9}$ |
Because every step is a power of ten, metric conversion is decimal-point movement: 2.4 km = 2,400 m = 240,000 cm. Contrast that with the imperial system, where 1 mile = 5,280 ft and 1 gallon = 128 fluid ounces — arbitrary factors that must be memorised.
Mass versus weight. Mass is the quantity of matter, measured in kilograms with a balance, and it is unchanged by location. Weight is the force gravity exerts on that mass, measured in newtons with a spring scale, and it changes with local gravity. An astronaut's mass is identical on the Moon; their weight is about one sixth. This distinction is tested in both General Science and Mechanical Comprehension.
3. Temperature Scales
| Scale | Water freezes | Water boils | Absolute zero |
|---|---|---|---|
| Celsius (°C) | 0° | 100° | −273.15° |
| Fahrenheit (°F) | 32° | 212° | −459.67° |
| Kelvin (K) | 273.15 K | 373.15 K | 0 K |
Kelvin is an absolute scale with no negative values, and its degree is the same size as a Celsius degree — which is why a change of 10 °C is a change of 10 K. Fahrenheit and Celsius read the same value at −40°, a fact that shows up as a distractor check.
4. Accuracy, Precision, and Significant Figures
- Accuracy is closeness to the true value.
- Precision is repeatability — how tightly clustered repeated measurements are.
A rifle that groups three rounds inside a coin but two feet left of the bullseye is precise but not accurate; the sight is offset by a fixed amount, which is systematic error. Rounds scattered evenly around the bullseye are accurate but not precise, reflecting random error. Systematic error is corrected by calibration; random error is reduced by averaging repeated measurements.
Significant figures communicate how precise a measurement is. A length recorded as 3.0 cm claims precision to a tenth of a centimetre; 3.00 cm claims precision to a hundredth. A calculated result should never be reported with more significant figures than the least precise measurement that fed it.
5. Matching the Instrument to the Quantity
| Quantity | Instrument | Notes |
|---|---|---|
| Mass | Balance (triple-beam, analytical) | Compares against known masses, so it is unaffected by local gravity |
| Weight / force | Spring scale | Reads force, so it changes with gravity |
| Liquid volume | Graduated cylinder | Read at the bottom of the meniscus, at eye level |
| Length (precise) | Vernier caliper, micrometer | Caliper to about 0.001 in; micrometer finer still |
| Temperature | Thermometer, thermocouple | Thermocouples cover far wider ranges |
| Atmospheric pressure | Barometer | Falling pressure signals approaching stormy weather |
| Time | Stopwatch, chronometer | |
| Wind speed | Anemometer | |
| Humidity | Hygrometer / psychrometer | |
| Earthquake magnitude | Seismograph | Records ground motion; magnitude is reported on a logarithmic scale |
| Small objects and cells | Microscope | Compound light microscope for cells; electron microscope for finer structure |
| Distant objects | Telescope | Refracting uses lenses; reflecting uses mirrors |
| Voltage / current / resistance | Voltmeter / ammeter / ohmmeter | Covered in detail in section 7.5 |
| Acidity | pH meter or indicator paper | pH below 7 acidic, 7 neutral, above 7 basic |
Reading a meniscus: water in a glass cylinder curves upward at the edges, so the true volume is read at the bottom of the curve, with your eye level with that point. Reading from above or below introduces parallax error, a term the exam uses by name.
In scientific usage, how does a theory differ from a hypothesis?
A researcher tests whether a fuel additive improves engine efficiency. She uses ten identical engines, gives five the additive and five none, and runs all ten at the same load, temperature, and fuel grade. Which element is the dependent variable?
A technician measures the same steel rod five times and records 12.61 cm, 12.60 cm, 12.62 cm, 12.61 cm, and 12.60 cm. The rod is later certified at 12.40 cm. How are these measurements best described?
Convert 45 °C to Fahrenheit and to Kelvin.