A-Level Physics: Practical Skills and Graph Analysis

Practical skills are not only assessed in the laboratory. In every A level Physics course a significant share of the written-paper marks rewards the ability to handle experimental data: turning an equation into a straight-line graph, reading physical meaning from a gradient or an intercept, drawing error bars, judging a worst acceptable line and turning all of this into a final answer with a sensible uncertainty. This material trains exactly those skills, using data sets written out in full inside each question so that you work with the numbers rather than with a picture.

The quiz (12 questions) starts with linearisation. You meet a power law y = kxⁿ analysed with a graph of lg y against lg x, where the gradient gives the power and the intercept gives lg k, and an exponential decay analysed with a graph of ln V against time, where the gradient gives −1/RC for a discharging capacitor. You then read the EMF and internal resistance of a cell from two points on a V–I line, find a resistivity from the gradient of a resistance–length graph, and obtain g from the gradient of a T² against length graph for a pendulum.

The second half is about uncertainty and experimental judgement: using half the range of repeated timings and dividing by the number of oscillations, finding the percentage uncertainty in a gradient from the best-fit and worst-fit lines, quoting an intercept with its uncertainty, choosing the instrument that keeps the percentage uncertainty small, dealing honestly with an anomalous point, and telling a linear relationship apart from direct proportionality. One question asks you to identify the independent and dependent variables in a free-fall experiment with a light gate and to connect the graph to the equation behind it.

The flashcards (12 cards) summarise the rules you need to recall quickly: what gradient and intercept mean for the common linearised graphs, how to quote the uncertainty of repeated readings and of a gradient, and the difference between random errors, systematic errors, zero errors and parallax.

The written work (8 questions) asks for longer answers of the kind found in practical-skills questions: explaining how to linearise a relationship, analysing capacitor discharge readings with a logarithmic graph, processing repeated pendulum timings, describing error bars and worst-fit lines, correcting a micrometer zero error, planning a resistivity experiment with its variables and precautions, explaining what a straight line does and does not prove, and finding g with its absolute uncertainty.

The content follows the practical skills and mathematical requirements shared by all A level Physics specifications in England; it is independent practice and does not replace the practical activities carried out in school for the practical endorsement.

  • Linearise power-law and exponential relationships using lg–lg and ln graphs and read constants from gradient and intercept
  • Interpret the gradient and intercept of common physics graphs (V–I for a cell, R–l for a wire, T²–l for a pendulum)
  • Quote a mean with uncertainty from repeated readings and reduce uncertainty by timing many oscillations
  • Use best-fit and worst-fit lines to find uncertainties in a gradient and an intercept
  • Choose apparatus, identify variables and handle anomalous results when planning and analysing an experiment

Practice material written by Zestly, based on the DfE GCE AS and A level subject content for physics (DFE-00356-2014): practical skills, use of apparatus and techniques, and mathematical requirements (graphs, logarithms, uncertainties).

Sample question

Graph of terminal potential difference V against current I: a straight best-fit line falling from left to right, with the points (0.20 A, 1.46 V) and (0.80 A, 1.22 V) marked on it; the line stops short of the V-axis.

For a cell, $V = \varepsilon - Ir$. A student plots terminal potential difference $V$ against current $I$. Two points read from the best-fit line are $(0.20\ \text{A},\ 1.46\ \text{V})$ and $(0.80\ \text{A},\ 1.22\ \text{V})$. What are the EMF $\varepsilon$ and internal resistance $r$?

See the answer

$\varepsilon = 1.54\ \text{V}$, $r = 0.40\ \Omega$

Gradient $= \frac{1.22 - 1.46}{0.80 - 0.20} = -0.40\ \text{V A}^{-1}$, so $r = 0.40\ \Omega$. The intercept at $I = 0$ is $\varepsilon = 1.46 + 0.20 \times 0.40 = 1.54\ \text{V}$. The EMF is the intercept, not the first reading.

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A levels are awarded by AQA, Pearson Edexcel, OCR, WJEC/Eduqas and CCEA, and regulated by Ofqual, Qualifications Wales and CCEA Regulation, the regulators for England, Wales and Northern Ireland. Zestly is not affiliated with or endorsed by Ofqual, UCAS or any awarding body. These materials are our own and reproduce no past-paper content.