Mini PhysicsPart of Mini Education

Practice On Finding The Zero Error Of A Vernier Caliper

Show/Hide Sub-topics (Measurement | O Level Physics)
  1. Base quantities and SI units
  2. Prefixes and unit conversions
  3. Measurement of length
  4. Measurement of time and period
  5. Accuracy, precision and measurement errors
  6. Scalars and vectors
  7. Vector addition by graphical methods
  8. Supplementary: digital and vernier calipers
  9. Supplementary: digital and screw-gauge micrometers
  10. Practice: reading a vernier caliper
  11. Practice: finding vernier zero error
  12. Practice: corrected vernier readings

Learning outcomes

  • Measure length and time with suitable instruments, precision and repeat readings.

1. Definition

A. What you are practising

Assume the jaws are tightly closed. Find the zero error of each vernier caliper (in cm).

If you need a refresher, use: How To Use Calipers (Digital + Vernier) and Accuracy, Precision & Measurement Errors.

2. Key Ideas

  • Zero error is the reading shown when the jaws are closed.
  • Sign convention:
    • Positive zero error: vernier zero is to the right of main zero.
    • Negative zero error: vernier zero is to the left of main zero.

3. Detailed Explanations

A. Quick workflow

  1. Look at where the vernier zero is compared to the main zero.
  2. Find the aligned vernier division and convert it to cm.
  3. Decide the sign (left = negative, right = positive).

For a 10-division vernier with least count 0.01 cm:

  • zero to the right: error = + (aligned division) × 0.01 cm
  • zero to the left: error = -(10-aligned division) × 0.01 cm

4. Common Mistakes

A. Typical slips

  • Writing the right magnitude but wrong sign.
  • Using the wrong aligned line (choose the best alignment).
  • Forgetting the unit.

5. Exam Tips

A. One-line method statement

Write the sign first. For a positive error use the aligned division; for a negative error count the remaining divisions from the aligned mark to vernier 10.

5A. Interactive Zero-Error Trainer

Simulation Flow: Zero Error -> Correction -> Exam Practice

Run a few random zero-error cases here, then do the static question set below for exam-style consolidation.

Simulation Trainer: Vernier Zero Error + Correction

Use the top closed-jaws scale to find zero error, then correct the observed reading from the bottom scale.

BetaO LevelPractical SkillsBest for: Students losing marks on correction sign
  • Zero-Error Sign
  • Zero-Error Magnitude
  • Corrected Reading

Open the full interactive simulation on its own page

Use the standalone simulation page for the live controls, SVG scene, run modes, and scoring flow.

Open Interactive Simulation

The lesson stays lightweight and links out to the dedicated simulation page.

After this trainer
  1. Measurement Quiz
  2. Structured Measurement
  3. Practice: Vernier Reading with Zero Error
  4. How To Use Calipers (Digital + Vernier)

6. Worked Examples

Example 1: Questions 1–3Core

Question 1

Vernier zero-error question 1Jaws closed: with the jaws closed, vernier zero lies to the left of main zero, and vernier division 4 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the left of main zero Rightarrow negative.
  • The 4th vernier division aligns, leaving 6 divisions to the vernier 10 mark: (10-4) × 0.01 cm = 0.06 cm.
  • Zero error = -0.06 cm.

Question 2

Vernier zero-error question 2Jaws closed: with the jaws closed, vernier zero lies to the right of main zero, and vernier division 6 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the right of main zero Rightarrow positive.
  • Aligned vernier division = 6 Rightarrow 6 × 0.01 cm = 0.06 cm.
  • Zero error = + 0.06 cm.

Question 3

Vernier zero-error question 3Jaws closed: with the jaws closed, vernier zero lies to the left of main zero, and vernier division 6 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the left of main zero Rightarrow negative.
  • The 6th vernier division aligns, leaving 4 divisions to the vernier 10 mark: (10-6) × 0.01 cm = 0.04 cm.
  • Zero error = -0.04 cm.

Example 2: Questions 4–6Core

Question 4

Vernier zero-error question 4Jaws closed: with the jaws closed, vernier zero lies to the right of main zero, and vernier division 3 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the right of main zero Rightarrow positive.
  • Aligned vernier division = 3 Rightarrow 3 × 0.01 cm = 0.03 cm.
  • Zero error = + 0.03 cm.

Question 5

Vernier zero-error question 5Jaws closed: with the jaws closed, vernier zero lies to the left of main zero, and vernier division 7 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the left of main zero Rightarrow negative.
  • The 7th vernier division aligns, leaving 3 divisions to the vernier 10 mark: (10-7) × 0.01 cm = 0.03 cm.
  • Zero error = -0.03 cm.

Question 6

Vernier zero-error question 6Jaws closed: with the jaws closed, vernier zero lies to the right of main zero, and vernier division 10 aligns with a main-scale line.Jaws closedmain scale (cm)01vernier scale0510best alignment
Show Answer
  • Vernier zero is to the right of main zero Rightarrow positive.
  • Aligned vernier division = 10 Rightarrow 10 × 0.01 cm = 0.10 cm.
  • Zero error = + 0.10 cm.

7. Mind Stretchers

Mind stretcher 1: Apply the correction ruleExtension

A vernier caliper has zero error -0.04 cm. The observed reading of an object is 3.34 cm. Find the correct reading.

Show Answer

correct = 3.34 - (-0.04) = 3.38 cm

Mind stretcher 2: What type of error is zero error?Extension

Is zero error random or systematic? Explain briefly.

Show Answer

Zero error is systematic because it shifts every reading by the same amount (same direction).

Categories
Tags
  • O Level
  • Physics
  • Measurement