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Physics · Lesson 28

Practical 1: measuring instruments, precision and zero errors

WAECNECO

What the syllabus asks

WAEC: WAEC Physics Paper 3 / NECO Paper I (practical and alternative to practical): measurement skills underlying all practical questions; syllabus practical topics on measurement of length, time, temperature, current and p.d.; zero errors; precision and significant figures. Supports p1 and the experiments in pp3–pp6.

NECO: WAEC Physics Paper 3 / NECO Paper I (practical and alternative to practical): measurement skills underlying all practical questions; syllabus practical topics on measurement of length, time, temperature, current and p.d.; zero errors; precision and significant figures. Supports p1 and the experiments in pp3–pp6.

What you will learn

Key points

Start here: Paper 3: what the physics practical really tests

On the morning of the physics practical, Chiamaka walks into the laboratory of her school in Owerri and finds three benches, each set up with different apparatus: a retort stand with a pendulum bob on a thread, a glass block on drawing paper with optical pins, and a circuit board with a cell, a resistance wire and two meters. In WAEC Paper 3 she will answer any two of the three questions in 2¾ hours, and the paper carries 50 marks, so each question is worth 25 marks. NECO calls its practical Paper I (Practical); it also lasts 2 hours 45 minutes and is built on three questions, usually one each from mechanics, optics and electricity. Always follow the instruction on the front of your paper about how many questions to answer. Private candidates sit an alternative to practical paper in the same format: instead of handling apparatus, they are given diagrams of instruments and tables of readings, and must read, tabulate, plot and deduce exactly as if they had done the experiment.

Paper 3 is worth a large share of the total physics mark (Paper 1 has 50 marks, Paper 2 has 60 marks and Paper 3 has 50 marks), so a student who is strong in theory but careless in the laboratory throws away a grade. The good news is that the practical paper is the most predictable paper in the whole examination. The same few experiments come back year after year in slightly different dress, and the same small set of skills earns most of the marks. Those skills are what this unit and the next one teach; units pp3 to pp6 then apply them to the standard experiments.

Examiners describe the skills in four groups, and every mark in a 25-mark question falls into one of them:

A typical question is worded like this: "You are provided with a metre rule, a knife edge, a 50 g mass and other necessary apparatus. (i) Balance the metre rule on the knife edge and record the balance point G. (ii) ... (iii) Evaluate 1/x for each value of x. (iv) Tabulate your readings. (v) Plot a graph of ... (vi) Determine the slope s of the graph. (vii) State two precautions taken to ensure accurate results." It ends with a short theory part (b), usually 4 to 6 marks, asking for a definition or a small calculation linked to the experiment.

Physics practical: measuring rightMetre ruleto 0.1 cm (1 mm); eye vertically above markVernierto 0.01 cm; check zero error firstMicrometerto 0.01 mm; use the ratchetStopwatchtime 20 oscillations; record 1 d.p.Thermometerto 0.5 °C; stir; eye levelAmmeterin series; + to +; read 1 divisionVoltmeterin parallel; choose sensible rangeZero errorcorrected = reading − zero errorUnitsevery heading: quantity / unit

Read the whole question once before you touch any apparatus. Underline what you must measure, what you must calculate for each row (for example T, T², 1/x or sin i), and what you must plot against what. "Plot a graph of T² against l" means T² goes on the vertical axis and l on the horizontal axis. Students who swap the axes lose the graph marks and get the wrong slope.

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Practice questions

1. State the least count of (a) a metre rule (b) vernier calipers (c) a micrometer screw gauge.
Show worked answer
(a) 0.1 cm (1 mm) (b) 0.01 cm (0.1 mm) (c) 0.01 mm.
2. A vernier main scale reads 5.6 cm just before the vernier zero and line 4 coincides. The zero error is +0.02 cm. Find the corrected reading.
Show worked answer
Observed = 5.6 + 4 × 0.01 = 5.64 cm. Corrected = 5.64 − 0.02 = 5.62 cm.
3. A micrometer sleeve shows 2 mm but not the next half-mm line; the thimble reads 41. Find the reading.
Show worked answer
2 + 41 × 0.01 = 2.41 mm.
4. With its jaws closed a micrometer’s datum line points at 47 on the thimble (zero not reached). A wire reads 0.38 mm. Find the true diameter.
Show worked answer
Zero error = −(50 − 47) × 0.01 = −0.03 mm. Corrected = 0.38 − (−0.03) = 0.41 mm.
5. 20 oscillations take 35.6 s. Find the period and the percentage error if the timing error is 0.2 s.
Show worked answer
T = 35.6 ÷ 20 = 1.78 s. Error in T = 0.2 ÷ 20 = 0.01 s; 0.01 ÷ 1.78 × 100 ≈ 0.56 %.

Key words

Least count
The smallest change an instrument can show.
Precision
How finely a reading is resolved (number of reliable figures).
Accuracy
How close a reading is to the true value.
Parallax error
Reading error caused by viewing a scale at an angle.
Zero error
Reading shown when the true value is zero.
Vernier scale
Sliding scale that subdivides the main scale divisions.
Pitch
Distance the micrometer spindle moves in one turn (usually 0.5 mm).
Ratchet
Device that limits the force applied by a micrometer.
Oscillation
One complete to-and-fro movement.
Fiducial mark
Fixed reference mark used when timing oscillations.
Random error
Error that scatters readings either way.
Systematic error
Error that shifts all readings the same way.
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