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Planning, analysis and evaluation · Subtopic 1 of 2

Planning an Investigation

Paper 5's planning question gives you a suggested relationship, such as T=kmnT=km^n, and asks for a full plan. Identify the independent variable (what you change), the dependent variable (what you measure) and the control variables (what you keep constant). Describe exactly how each is measured, with named instruments and a labelled diagram. Say what graph you'll plot to get a straight line, how to find constants from it, and include specific safety precautions and extra detail for reliability.

Cambridge 9702 Paper 5Edexcel YPH11 WPH16AQA 7408 Paper 3A≈ 40 minRevision 5 · updated 2026-10-27
Section 1 of 14

Learning objectives

  • Identify independent, dependent and control variables.
  • Describe methods to vary and measure variables, with apparatus.
  • Choose a graph that tests the relationship and gives constants.
  • Include specific safety and reliability details.
Pause and think

You're asked to investigate how the current in a solenoid affects the magnetic field inside it. What would you change, what would you measure, and what must stay the same?

Section 2 of 14

Core idea

Start hereDesigning an experiment on paper

In the planning question you never touch apparatus. You must convince the examiner that someone could follow your plan and get a clear answer, including how to turn the data into a straight-line graph.

The big idea

Variables; method and apparatus; analysis (linearise to y=mx+cy=mx+c); safety and extra detail.

1. Structure

Example: how does the period of a mass on a spring depend on the mass?
independentmass m(balance)dependentperiod T(time 20 cycles)controlledsame springsmall amplitude
Analysis: T=2πm/kT=2\pi\sqrt{m/k}, so plot T2T^2 against mm; a straight line through the origin with gradient 4π2k\dfrac{4\pi^2}{k} confirms it.
A complete plan

Every box earns marks.

Worked exampleTesting T=2πmkT=2\pi\sqrt{\frac mk}

Plan an experiment.

Goal
Outline plan.
Strategy
Follow the structure.
  1. Variables: change mm; measure TT; same spring.

  2. Method: time 20 oscillations; fiducial marker at equilibrium.

  3. T2=4π2k mT^2=\frac{4\pi^2}k\,m
    Plot T2T^2 against mm: straight line through the origin, gradient 4π2k\frac{4\pi^2}k.
  4. Safety: secure clamp stand; goggles in case the spring snaps.

AnswerRelationship confirmed if the graph is straight through the origin.
✓ Checkk=4π2/gradientk=4\pi^2/\text{gradient} can be compared with a static measurement ✓.
Finding an unknown power nn
  1. y=axny=ax^n
    Suspected relationship.
  2. lg⁡y=nlg⁡x+lg⁡a\lg y=n\lg x+\lg a
    Logs: plot lg⁡y\lg y against lg⁡x\lg x; gradient nn.
Common misconceptionVague methods "Measure the length" earns nothing; "measure ll with a metre rule from the pivot to the centre of the bob" does.

Summary

  • Variables, method, analysis, safety.
Key words
Control variable
Kept constant.
HistoryFizeau's speed of light. In 18491849 Hippolyte Fizeau planned an experiment to measure the speed of light with a spinning cogwheel and a mirror 88 km away. Light passed through a gap, reflected and returned; at the right speed, the next tooth blocked it. Careful planning turned a seemingly impossible measurement into a result within 5%5\% of today's value.
Fun factPlanning at CERN. The Large Hadron Collider took around 2525 years from planning to first collisions. Experiments are planned years ahead, with simulations of exactly what data will be collected and how it will be analysed, before a single proton is fired.
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