LearnViz Physics

Home / Topics / Measurement & Math Tools

Vernier calliper

Beginner

A sliding scale that reads to a fraction of the smallest main-scale division.

Key relationLC = 1 MSD − 1 VSD

A vernier has a main scale and a sliding scale whose divisions are slightly shorter. The smallest reading, the least count, is the difference between one main division and one vernier division. The reading is the main-scale value just before the zero of the vernier plus (matching vernier line × least count).

Worked example

Main scale in mm, 10 vernier divisions equal 9 main divisions, so LC = 1 − 0.9 = 0.1 mm. If the main reading is 23 mm and the 6th vernier line matches, the length is 23 + 0.6 = 23.6 mm.

Common mistake

Check for zero error with the jaws closed and subtract it from every reading.

In more detail

A vernier calliper has a main scale and a sliding vernier scale. The least count is the smallest main-scale division minus one vernier division, which gives readings finer than the main scale alone.

Real-world uses

Open the interactive lesson, with simulation and quiz →

Frequently asked questions

What does least count mean?

It is the smallest value an instrument can read reliably. For a calliper it is found from the main and vernier scale divisions.

How do I read a vernier scale?

Note the main-scale reading just before the zero of the vernier, then add the vernier division that lines up exactly with a main-scale mark.

Why is the vernier scale worth reading carefully?

Each small division can represent a tiny fraction of a millimetre, so a single misread line changes the answer. Always check which line lines up exactly with a main-scale mark.

Related topics in Measurement & Math Tools

Prefixes (milli, kilo, mega) · Scientific notation · Length measurement · Screw gauge · Measuring time · Mass vs weight

← All Measurement & Math Tools topics