Posted in Practical

Notes on Sources of Error in O-Level Physics Practicals

1. How to Answer a “Source of Error” Question

A source-of-error question is not asking you to list everything that could go wrong — it wants the ONE or TWO factors that are inherent to this particular procedure/apparatus and would cause a genuine, unavoidable error in the final result. Structure every answer in two parts:

  • Part 1 — What is the source of error? Be specific: name the apparatus/step and the physical reason the reading is not exact.
  • Part 2 — How does it affect the result? State which quantity is affected, and whether it becomes larger than, smaller than, or larger/smaller than its true value.

Do NOT accept these as answers unless you can justify them further — examiners routinely reject them as “too general”:

  • Parallax error (only acceptable if you specify why parallax cannot be avoided in this exact set-up)
  • Random error / human error (on its own)
  • Zero error of an instrument (this is correctable by calibration, not a key source of error)
  • Anything fixed simply by “being more careful” or “repeating the reading”

1.1 Random Error vs Systematic Error

Source of ErrorEffect on the Reading / ResultPrecaution / Improvement
Random ErrorUnpredictable scatter, in either direction, caused by limits of precision or the experimenter’s inability to repeat a measurement identically. E.g. repeating a mass reading gives 17.46 g, 17.42 g, 17.44 g.Take repeated readings and average; take more data points for a graph so the best-fit line averages out the scatter.
Systematic ErrorA consistent bias in one direction throughout the whole experiment, usually from a fault in the apparatus or method. E.g. a stretched tape measure makes every length reading too small.Cannot be reduced by averaging. Must identify the faulty apparatus/method and correct or recalibrate it (e.g. account for zero error, use a different instrument).

1.2 Quick-Reference: Precision of Common Apparatus

ApparatusPrecision (Uncertainty)How to Read / Use Correctly
Metre rule / half-metre rule0.1 cmRead to the smallest division; eye vertically above the scale.
Ammeter (0–1 A)0.01 ARead to half the smallest division (0.02 A ÷ 2).
Voltmeter (0–3 V / 0–5 V)0.05 VRead to half the smallest division.
Laboratory thermometer0.5 °CRead to half the smallest division; last digit 0 or 5.
Stopwatch (digital)0.01 sRecord to 2 d.p. unless told otherwise.
ProtractorRead to the smallest division.
Measuring cylinder (100 ml)0.5 cm³Read at eye level, bottom of meniscus.
Spring balance (0–1 N)0.01 NCheck for zero error before use.
Spring balance (0–10 N)0.1 NCheck for zero error before use.
Digital micrometer / calipers0.01 mm / 0.01 cmClose jaws gently; check zero error.
Electronic mass balance0.01 gTare (zero) before every measurement.

2. Mechanics

2.1 Period of Oscillation (Simple Pendulum)

Source of ErrorEffect on the Reading / ResultPrecaution / Improvement
The thread is slightly elastic, or slips through the split cork.The effective length l of the pendulum is not what was recorded, so T is inaccurate.Measure and re-check l just before each timing; use an inextensible thread.
Reaction time in starting/stopping the stopwatch is significant compared to the period of one oscillation.T is either larger or smaller than the true value — the error is a larger fraction of the result for short single-oscillation timings.Time a large number of oscillations (e.g. 20) and divide by 20, so the fixed reaction-time error is spread over many swings and becomes negligible per oscillation.
The bob does not swing in one vertical plane (it swings elliptically) or amplitude is too large.The period recorded is not the true period for small-angle oscillation.Release the bob with a small amplitude and check it swings in a single plane; restart if it drifts.
The reference point used to judge “one complete oscillation” is not fixed.Miscounting oscillations changes T.Use the lowest point of the swing (highest speed, easiest to judge) as the reference point for counting.

Standard technique justification: measuring 20 oscillations and dividing by 20 divides the (constant) human reaction-time error by 20, greatly reducing its effect on the value of one period T.


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