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OCR A-level Physics A (H556) · Module 1: Development of Practical Skills
Mini-Lesson

Development of Practical Skills

Module 1 is assessed on every written paper as well as in the Practical Endorsement. It covers planning, implementing, analysing and evaluating — and the uncertainty arithmetic that underpins all four.

% uncertainty = (absolute uncertainty ÷ measured value) × 100every number you ever quote should have an uncertainty attached to it

The examiner's favourite distinction: precision is about the spread of your repeats; accuracy is about closeness to the true value. You can be beautifully precise and completely wrong — that is exactly what a systematic error does to you.

Work through each screen, answer the questions as you go (several are full A-level calculations) and collect ⭐ stars. Press Start when you're ready.

Module 1 · planning

Planning an experiment

A good plan names the variables and defends the method:

  • Independent variable — the one you deliberately change. Dependent variable — the one you measure. Control variables — everything else, held constant.
  • Choose instruments with a suitable resolution. Measuring a 0.40 mm wire with a millimetre ruler is hopeless — use a micrometer (resolution 0.01 mm).
  • Choose a range and enough values (usually at least six) to establish a trend, with repeats at each.
  • Identify the hazards and state a proportionate control measure.

Reduce percentage uncertainty by measuring more: time 20 oscillations, not one; measure across ten interference fringes, not one; use a long wire in a Young modulus experiment. Same absolute uncertainty, ten or twenty times the quantity — so the percentage uncertainty falls by that factor.

Module 1 · errors

Random error, systematic error, precision and accuracy

  • Random error — unpredictable scatter either side of the true value (reaction time, judging a scale, fluctuating readings). Reduce by repeating and taking a mean.
  • Systematic error — shifts every reading by the same amount or in the same direction (zero error, a mis-calibrated meter, a consistently wrong angle of view). Repeating does not help at all — you must correct or recalibrate.
  • Zero error is the classic systematic error: check the instrument reads zero before you start, and subtract the offset if it does not.
  • Parallax error is systematic if you always view from the same wrong angle, random if you view carelessly from different angles each time.

Anomalies: a point well off the trend should be investigated and re-measured — never silently deleted. If it is confirmed and unexplained, say so; if it was a misread, correct it and note that you did.

Sort it

Random, systematic, or a way of reducing uncertainty?

Tap an item, then tap the category it belongs in.

🎲 Random error

📐 Systematic error

✅ Reduces uncertainty

Quick check

Precise or accurate?

?A student measures the same length five times and gets 24.7, 24.7, 24.8, 24.7 and 24.7 cm. The true value is 25.9 cm. How should the results be described?
Module 1 · uncertainty

Absolute, percentage and combined uncertainties

absolute uncertainty of a set of repeats ≈ (max − min) ÷ 2quoted about the MEAN of the repeats

To combine uncertainties through a calculation, OCR uses three rules:

  • Adding or subtractingadd the absolute uncertainties.
  • Multiplying or dividingadd the percentage uncertainties.
  • Raising to a power nmultiply the percentage uncertainty by n.
Worked example — g from a pendulum

g = 4π²l / T². The length l has a 2% uncertainty; the period T has a 1% uncertainty.

T is squared, so it contributes 2 × 1% = 2%.

Total: 2% (from l) + 2% (from T²) = 4%

Which measurement should you improve? The one contributing the largest percentage uncertainty — especially any quantity that is squared or cubed, since its contribution is doubled or tripled.

Calculate

Your turn — percentage uncertainty

1A current is measured as 2.50 ± 0.05 A. Calculate the percentage uncertainty.
%
Hint: (0.05 ÷ 2.50) × 100.
Calculate

Your turn — uncertainty in a mean

2A student times an event four times: 4.5, 4.7, 4.6 and 4.4 s. Estimate the absolute uncertainty in the mean using half the range. Give your answer in s.
s
Hint: Uncertainty ≈ (max − min) ÷ 2 = (4.7 − 4.4) ÷ 2.
Calculate

Your turn — percentage uncertainty in that mean

3The mean of those four readings (4.5, 4.7, 4.6, 4.4 s) is 4.55 s with an absolute uncertainty of 0.15 s. Calculate the percentage uncertainty. Give your answer in % to 2 significant figures.
%
Hint: (0.15 ÷ 4.55) × 100 = 3.30%.
Calculate

Your turn — combining uncertainties

4The acceleration due to gravity is found from g = 4π²l / T². The length l has a percentage uncertainty of 2% and the period T has one of 1%. Calculate the percentage uncertainty in g.
%
Hint: T is squared, so it contributes 2 × 1% = 2%. Add that to the 2% from l.
Module 1 · analysis

Graphs, gradients and logarithmic plots

Rearrange every relationship into y = mx + c, plot it, and let the gradient give you the physics.

  • Gradient = Δy ÷ Δx, taken from a large triangle using points on the line, not raw data points.
  • Always include error bars, then draw the line of best fit and the steepest and shallowest lines that still pass through all the bars. Uncertainty in the gradient ≈ (mmax − mmin) ÷ 2.
power law y = kxⁿ → log y = log k + n log xplot log y against log x: gradient = n, intercept = log k
exponential y = y₀e^(−kx) → ln y = ln y₀ − kxplot ln y against x: gradient = −k

Why bother with logs? A straight line is the only shape the eye can judge reliably. Log plots turn an unfamiliar curve into a straight line, and the gradient tells you the power — which is often exactly the physics you were trying to test.

Calculate

Your turn — reading a gradient

5A straight line of best fit passes through the points (2.0, 5.0) and (8.0, 20.0). Calculate its gradient.
Hint: Gradient = Δy ÷ Δx = (20.0 − 5.0) ÷ (8.0 − 2.0) = 15.0 ÷ 6.0.
Quick check

A log–log plot

?For a simple pendulum, T = 2π√(l/g), so T ∝ l^0.5. A student plots log T against log l. What is the gradient?
Quick check

What to do with an anomaly

?One data point lies well away from an otherwise clear trend. What is the correct action?
Quick check

Improving the experiment

?A student times a single oscillation of a pendulum with a stopwatch (uncertainty ±0.2 s), getting 1.8 s. What is the single best improvement?
Match it

Match the term to its definition

Tap an item on the left, then its partner on the right.

Term
Definition
Recap

The big ideas to know

Planning: independent, dependent and control variables; choose the right resolution; at least six values with repeats

Random error: scatters both ways — reduce by repeating and taking a mean

Systematic error: shifts everything the same way (zero error) — repeating never helps; recalibrate

Precision vs accuracy: agreement between repeats vs closeness to the true value

Uncertainty: % = (absolute ÷ value) × 100 · add absolutes when adding · add percentages when multiplying · × n for a power

Graphs: gradient from a large triangle on the line; error bars give the gradient uncertainty

Logs: log–log gradient = the power n · ln y against x gradient = −k for exponential decay

That is OCR Module 1 — the skills every other module is assessed against. Press Finish to see your score.

🏆

Mini-lesson complete!

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You've worked through Development of Practical Skills for OCR A-level Physics A. 🎉

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