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Vernier Callipers NEET 2026: Least Count of 0.02 cm

NEET 2026 Physics Physics and Measurement Vernier Callipers

By Founder, JEEnius - IIT Kanpur Alumni · Nov 11, 2026 · 3 min read

Medium 1 min target

In a vernier calliper, 20 VSD coincide with 16 MSD (each division of length 1 mm). The least count of the vernier callipers is:

Show answerAnswer

C) 0.02 cm

Explanation

Least count of vernier callipers

L.C.=1 MSD−1 VSD ...(i)

Given: 20 VSD=16 MSD

1 VSD=1620 MSD

From (i)

L.C.=1 MSD−1620 MSD

L.C.=420 MSD

L.C.=15 mm = 0.2 mm

L.C.=0.02 cm

Watch the full solution, worked step by step.

What is the answer to the Vernier Callipers NEET 2026 question?

Option C, 0.02 cm, is correct for the Vernier Callipers NEET 2026 question. Twenty divisions on a vernier scale span the same length as sixteen main-scale divisions; each main-scale division measures 1 mm. Determine the instrument’s least count.

This is a Physics and Measurement question in single-correct format, rated medium on this question bank’s scale. The target solving time is 60 seconds.

You need the difference between one main-scale division and one vernier-scale division. No object reading or zero-error correction is required here.

How do you find one VSD from twenty VSD equalling sixteen MSD?

L.C.=1MSD−1VSD

This is the official solution’s starting formula. MSD means main-scale division, and VSD means vernier-scale division. One VSD is 0.8 mm long, obtained by dividing the supplied total length by the number of vernier divisions.

The given equality compares the total lengths of two groups of divisions:

20VSD=16MSD

Divide both sides by twenty to obtain the length of a single vernier division:

1VSD=1620MSD=0.8MSD

Now use the stated main-scale division length:

1MSD=1mm
1VSD=0.8×1mm=0.8mm

Twenty vernier divisions collectively span 16 mm. One vernier division is not 16 mm long: that length belongs to the full group of twenty. Divide first because the least-count formula compares single divisions, not the groups.

How does the subtraction give a least count of 0.02 cm?

The subtraction gives 0.2 mm, which converts to 0.02 cm, option C. Keep the fractional step visible: the supplied scale relationship determines the subtraction.

Substitute the length of one VSD into the official formula:

L.C.=1MSD−1620MSD
L.C.=(2020−1620)MSD=420MSD

Since one MSD measures 1 mm:

L.C.=15mm=0.2mm

Convert only after completing the subtraction. A centimetre contains ten millimetres, so divide the millimetre value by ten:

1cm=10mm
0.2mm=0.210cm=0.02cm

A quick check confirms the subtraction:

1mm−0.8mm=0.2mm

Do not divide one MSD by the number of vernier divisions automatically. The familiar shortcut assumes this specific relationship:

nVSD=(n−1)MSD⟹L.C.=1MSDn

Here, twenty VSD equal sixteen MSD, not nineteen MSD. That shortcut does not apply. Use the supplied lengths first, then subtract.

How does a unit-conversion mistake produce option A?

Option A results if you calculate 0.2 mm correctly, then write 0.2 cm without converting the numerical value. Changing only the unit label changes the physical length.

The incorrect chain is:

L.C.=0.2mm→incorrect relabelling0.2cm⟶option A

Compare the actual lengths:

Option A: 0.2cm=2mm
Calculated least count: 0.2mm

Option A is ten times the correct value. It cannot equal the difference between 1 mm and 0.8 mm.

Keep the subtraction in millimetres, write the conversion factor explicitly, and only then match an option. This checks the numerical value and the unit together:

0.2mm×1cm10mm=0.02cm

The millimetre units cancel, leaving centimetres. The physical length stays the same even though its numerical value changes.

How do you solve three related Physics and Measurement questions?

Use the division-first method for the next two least-count problems. For the reading problem, add the vernier contribution, then subtract the signed zero error. All three are original practice questions from Physics and Measurement, not verified NEET PYQs.

Question 1: Ten VSD span nine MSD, and each MSD measures 1 mm. Find the least count in millimetres and centimetres.

10VSD=9MSD,1MSD=1mm
1VSD=910mm=0.9mm
L.C.=(1−0.9)mm=0.1mm=0.01cm

Question 2: Twenty-five VSD span twenty-four MSD, and each MSD measures 1 mm. Find the least count.

25VSD=24MSD,1MSD=1mm
1VSD=2425mm=0.96mm
L.C.=(1−0.96)mm=0.04mm=0.004cm

Question 3: Using the original instrument, find the corrected measurement when the main-scale reading is 12 mm, the third vernier division coincides, and the positive zero error is 0.2 mm.

The original least count is 0.2 mm. MSR means main-scale reading:

Observed reading=MSR+coincidence number×L.C.
Observed reading=12mm+3×0.2mm=12.6mm
Corrected reading=observed reading−signed zero error
Corrected reading=12.6mm−(+0.2mm)=12.4mm

A positive zero error means the instrument reads too high, so subtract it. For every least-count calculation, follow this sequence: obtain one VSD, subtract from one MSD, then convert units.

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Frequently asked questions

What is the answer to the Vernier Callipers NEET 2026 question?

Option C, 0.02 cm, is correct. Since 20 vernier-scale divisions equal 16 main-scale divisions and each main-scale division is 1 mm, one vernier division is 0.8 mm. The least count is 1 − 0.8 = 0.2 mm, or 0.02 cm.

Why can't I divide 1 MSD by 20 to find the least count?

The shortcut of dividing one main-scale division by the number of vernier divisions assumes n VSD = (n − 1) MSD. Here, 20 VSD equal 16 MSD, not 19 MSD. Find one VSD from the given relationship, then subtract it from one MSD.

How do I convert 0.2 mm into cm?

Divide the value in millimetres by 10 because 1 cm equals 10 mm. Thus, 0.2 mm = 0.02 cm. Writing 0.2 cm instead gives a length ten times too large.

How do I correct a vernier callipers reading for positive zero error?

Calculate the observed reading as the main-scale reading plus the coincidence number multiplied by the least count, then subtract the positive zero error. For a main-scale reading of 12 mm, third-division coincidence and least count of 0.2 mm, the observed reading is 12.6 mm. Subtracting a positive zero error of 0.2 mm gives a corrected reading of 12.4 mm.

least countneet physicsunit conversionvernier calliperszero error

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