PhysicsFoundation16 min read

Nature of Science

How physics is actually done: evidence, models and their limits

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01

What physics actually is

Definition

Physics — The branch of science concerned with matter, energy and the interactions between them, expressed wherever possible in measurable, mathematical form.

Physics is the study of matter, energy and the interactions between them, and its ambition is unusual among the sciences: to explain the widest possible range of phenomena with the smallest possible number of rules. The same equation that describes a cricket ball falling in Lahore describes the Moon circling the Earth.

It is built on measurement. A claim that cannot be tested against a measurement is not a physics claim, however reasonable it sounds. This is why so much of an early physics course is spent on units, instruments and errors — they are not preliminaries to the subject, they are the subject's foundation.

The branches you will meet are mechanics, heat, waves and sound, light, electricity and magnetism, and atomic and nuclear physics. They are divisions of convenience rather than of nature; a single problem often needs several of them at once.

02

The scientific method, honestly described

Textbooks often present the scientific method as a tidy sequence: observe, hypothesise, predict, experiment, conclude. Real science is messier than that — experiments fail, results surprise people, and good ideas arrive out of order. But the sequence is still worth knowing, because it describes what a finished piece of work has to look like in order to convince anyone.

The step that does the real work is prediction. A hypothesis that merely explains what has already been seen is cheap; anyone can invent one afterwards. A hypothesis that says in advance what a new experiment will show is taking a risk, and it is that risk which makes the result worth something.

A hypothesis must therefore be falsifiable — there must be some possible result that would show it to be wrong. "Heavier objects fall faster" is a good scientific claim precisely because it can be tested and found false. A claim that no experiment could ever contradict tells you nothing.

The sequence

  1. Observe something that needs explaining.
  2. Propose a hypothesis — a testable explanation.
  3. Predict what should happen if the hypothesis is right.
  4. Experiment, controlling everything except the one variable you change.
  5. Compare, and be willing to discard the hypothesis if the result disagrees.
03

Variables and a fair test

An experiment is only informative if you change one thing at a time. Three kinds of variable appear in every practical you will do, and being able to name them is worth marks in itself.

The independent variable is the one you deliberately change. The dependent variable is the one you measure to see the effect. The control variables are everything else you must keep the same.

If a control variable is allowed to drift, the experiment cannot tell you anything, because two things changed at once and you cannot say which caused the result. This is the single most common reason a school experiment fails to show what it should.

Consider testing how the length of a pendulum affects its period. Length is independent, period is dependent, and the mass of the bob, the size of the swing and the place you do it in are controls. Change the bob halfway through and the data is worthless.

VariableWhat it isIn the pendulum experiment
Independentthe one you changelength of the string
Dependentthe one you measureperiod of one swing
Controlkept constantmass of the bob, angle of swing, location
04

Errors, repeats and anomalies

No measurement is exact. Every reading carries an uncertainty, and a scientist's job is to know how large it is rather than to pretend it is zero.

Random errors scatter readings either side of the true value — a hand-operated stopwatch, a slightly different eye position each time. They are reduced by repeating the measurement and taking a mean, and they show up as scatter in a graph.

Systematic errors shift every reading the same way — a balance that reads 5 g high, a ruler with a worn end, a zero error on an ammeter. Repeating does not help at all, because every repeat is wrong by the same amount. They show up as a graph line that has the right gradient but does not pass through the origin.

An anomaly is a single reading that sits well away from the pattern of the others. It should be identified, and then repeated if possible — not silently deleted. An anomaly that survives repetition is data, and occasionally it is the most interesting data you have.

The two sliders separate the two ideas that beginners merge. Systematic error moves the whole cluster off the centre — the grouping can be tight and every reading still wrong. Random error spreads the cluster, so the average can be right even though no single shot is.

Repeating cannot fix a systematic error

Take a hundred readings with a balance that reads 5 g high and the mean will be 5 g high. Averaging removes random scatter only. A systematic error has to be found and corrected — usually by checking the zero before you start.

05

Models, theories and what science does not claim

Physics works by building models — deliberately simplified pictures that capture what matters and ignore what does not. Treating a planet as a point mass, or air resistance as zero, is not carelessness. It is a decision that those details do not change the answer to the question being asked.

Every model has a range within which it works and outside which it fails. Newton's laws describe motion superbly at ordinary speeds and break down near the speed of light. That does not make them wrong; it makes them a model with known limits, which is the most any model ever is.

A theory in science is not a guess, despite the everyday use of the word. It is an explanation that has survived repeated attempts to disprove it and now organises a large body of evidence. But no amount of confirmation makes a theory final. A single reproducible result that contradicts it is enough to force a revision, and that willingness to be overturned is what separates science from other ways of holding beliefs.

Key points

  1. Physics explains the most with the fewest rules, and rests on measurement.
  2. A hypothesis must be testable and falsifiable to be worth anything.
  3. Change one variable at a time and control the rest.
  4. Random errors are reduced by repeats; systematic errors are not.
  5. A model is judged by where it works, not by whether it is ultimately true.

Practice questions

6 questions · 18 marks · full working on every one

Try each one on paper first, then open the working. The marks are shown where they are actually awarded, because that is where they are actually lost.

Short questions

3 · 6 marks

Two marks each, in the style of the short-question section of the paper. Answer in two or three lines.

SQ1[2 marks]
What is meant by a hypothesis?
Model answer

A proposed explanation for an observation, which must be testable — that is, capable of being shown wrong by an experiment.

Examiner tip. "Testable" or "can be disproved" is the second mark. A hypothesis is not simply a guess.

SQ2[2 marks]
Distinguish between the independent and dependent variables in an experiment.
Model answer

The independent variable is the one deliberately changed by the experimenter. The dependent variable is the one measured, which responds to that change.

Examiner tip. Give both, in that order. A control variable is a third thing and is not what this question asks for.

SQ3[2 marks]
Why must control variables be kept constant?
Model answer

So that any change in the dependent variable can be attributed to the independent variable alone. If two things change at once, the result cannot be interpreted.

Examiner tip. The reason — attribution — is the second mark. "To make it a fair test" alone is worth one.

Exam questions

3 · 12 marks

Multi-part questions with a full mark scheme.

Q1[5 marks]
A student investigates how the length of a simple pendulum affects the time for one complete swing.
  1. Identify the independent, dependent and one control variable.
  2. The student times one swing with a stopwatch and records 1.4 s. Suggest two improvements to the method.
Mark scheme
  1. Independent: length of the pendulum[1]
  2. Dependent: time for one swing (the period)[1]
  3. Control: mass of the bob / angle of release / same stopwatch and operatorany one[1]
  4. Time 10 or 20 swings and divide, to reduce the effect of reaction timethe standard improvement for this experiment[1]
  5. Repeat each measurement and take a mean / use a fiducial marker at the centre of the swingany second valid improvement[1]

Examiner tip. Timing multiple swings and dividing is the expected answer whenever a stopwatch and a fast event appear together. It reduces the percentage effect of reaction time without needing better equipment.

Q2[4 marks]
A newspaper reports that towns with more mobile phone masts have higher rates of a certain illness, and concludes that the masts cause the illness. Discuss whether this conclusion is justified.
Mark scheme
  1. The data shows a correlation between the two quantities[1]
  2. Correlation does not by itself establish causethe central point[1]
  3. A third factor could explain both, e.g. both are higher in larger, more densely populated townsany sensible confounding variable[1]
  4. A controlled study and a plausible mechanism would be needed before cause could be claimed[1]

Examiner tip. "Discuss whether this conclusion is justified" wants both sides: what the data does show, and what it does not. Answering only "no, correlation is not cause" scores half.

Q3[3 marks]
Explain what is meant by an anomalous result, and state what a student should do with one.
Mark scheme
  1. A result that does not fit the pattern of the others / lies well away from the trend[1]
  2. It should be identified and, if possible, investigated or repeated[1]
  3. It should be excluded from the mean, but still reported rather than deleted[1]

Examiner tip. The third mark is the one most often missed. Excluding an anomaly is correct; hiding that you excluded it is not.