CSEC PHYSICS · SECTION A · LESSON A3

Measuring Instruments, Errors and Density

Choosing and reading rulers, vernier calipers, micrometer screw gauges, balances, clocks and measuring cylinders; random and systematic errors; sensitivity, accuracy and range; and density calculations.

MechanicsA 1.7A 1.8A 1.9A 1.10≈ 40 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A3 · EXPLAINER

Measuring Instruments, Errors and Density

A micrometer can measure a hair’s thickness; a ruler cannot. Choosing the right tool — and knowing its limits — is part of every practical.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Instruments

Rule 1 mm; vernier 0.1 mm; micrometer 0.01 mm; balance; stopwatch; measuring cylinder.

Sensitivity

The smallest change the instrument can detect.

Accuracy

How close the reading is to the true value.

Range

The smallest to the largest value the instrument can measure.

Random error

Scatter; reduce by repeating and averaging.

Systematic error

Same shift in every reading (e.g. zero error); correct it.

Density

ρ = m/V; 1 g/cm³ = 1 000 kg/m³; water 1 000 kg/m³.

Irregular solid

Volume = volume of water displaced.

EXAM TIPS & COMMON MISTAKES

  • Check for a zero error before using a micrometer, caliper or balance, and correct the reading if there is one.
  • Error questions: name the type of error and give a specific action — “repeat and average” or “check the zero”.
  • Convert units first: 1 g/cm³ = 1 000 kg/m³, 1 cm³ = 1×10⁻⁶ m³.
  • Parallax and the meniscus: eye level with the scale or bottom of the meniscus.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 1.8

1. Which instrument is best for measuring the diameter of a thin wire?

Answer: D. A micrometer reads to 0.01 mm.
Syllabus A 1.9

2. The sensitivity of an instrument is

Answer: A. Sensitivity is the smallest change that can be detected.
Syllabus A 1.7

3. A balance reads 0.5 g when nothing is on it. This is a

Answer: B. A constant zero error shifts every reading the same way.
Syllabus A 1.7

4. Which action reduces random errors?

Answer: C. Averaging reduces the effect of scatter.
Syllabus A 1.10

5. A block has mass 270 g and volume 100 cm³. Its density is

Answer: D. 270 ÷ 100 = 2.7 g/cm³.
Syllabus A 1.10

6. A density of 2.7 g/cm³ is equal to

Answer: A. 1 g/cm³ = 1 000 kg/m³.
Syllabus A 1.10

7. To find the volume of an irregular stone a student uses a measuring cylinder with water. The volume of the stone is

Answer: B. The stone displaces its own volume of water.
Syllabus A 1.7

8. When reading a measuring cylinder, the eye should be

Answer: C. This avoids parallax.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (12 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Measurement and density

Question 1 [12 marks]

A student determines the density of an irregular piece of metal. A calculator may be used.

(a) (a) State the instrument used to measure the mass of the metal. [1]

MARK SCHEME — (a) (max 1)

(b) (b) The metal is lowered into a measuring cylinder containing 40 cm³ of water and the level rises to 65 cm³. Calculate the volume of the metal. [2]

MARK SCHEME — (b) (max 2)

(c) (c) The mass of the metal is 200 g. Calculate its density in g/cm³. [3]

MARK SCHEME — (c) (max 3)

(d) (d) Convert your answer to kg/m³. [2]

MARK SCHEME — (d) (max 2)

(e) (e) The balance showed 1.0 g before the metal was placed on it. State the type of error, and how it should be corrected. [2]

MARK SCHEME — (e) (max 2)

(f) (f) State two ways to reduce errors when reading the measuring cylinder. [2]

MARK SCHEME — (f) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.