๐ Theory & Concepts
What is a Vernier Caliper?
A Vernier Caliper is a precision measuring instrument used to measure internal and external
dimensions (diameter, length, thickness, depth) with an accuracy of 0.01 cm or 0.1 mm.
It was invented by French mathematician Pierre Vernier in 1631.
Principle of Vernier Caliper
The Vernier Caliper works on the principle that 10 divisions of the vernier scale are equal to
9 divisions of the main scale. This slight difference allows us to measure values smaller than
the smallest division on the main scale.
Least Count Formula
LC = 1 MSD รท Number of VSD = 0.1 cm รท 10 = 0.01 cm
Where:
โข LC = Least Count (smallest measurement possible)
โข MSD = Main Scale Division (0.1 cm)
โข VSD = Vernier Scale Divisions (10 divisions)
Reading Formula
Total Reading = MSR + (VCD ร LC)
Where:
โข MSR = Main Scale Reading (reading just before vernier zero)
โข VCD = Vernier Coinciding Division (which vernier line matches main scale)
โข LC = Least Count (0.01 cm)
Parts of Vernier Caliper
- External Jaws: Measure outer dimensions (diameter, length)
- Internal Jaws: Measure inner dimensions (cavity width)
- Depth Probe: Measure depth of holes or containers
- Main Scale: Fixed scale with cm and mm markings
- Vernier Scale: Sliding scale for precise measurements
- Locking Screw: Fix position while reading
๐ฌ Viva Questions & Answers
Q1: What is a Vernier Caliper?
A Vernier Caliper is a precision measuring instrument used to measure internal and external
dimensions with an accuracy of 0.01 cm. It consists of a main scale and a sliding vernier scale.
Q2: Who invented the Vernier Caliper?
Pierre Vernier, a French mathematician, invented the Vernier scale principle in 1631.
Q3: What is the least count of Vernier Caliper?
Least Count = 1 MSD รท Number of VSD = 0.1 cm รท 10 = 0.01 cm = 0.1 mm
Q4: What is the principle of Vernier Caliper?
10 divisions of the vernier scale are equal to 9 divisions of the main scale. This difference
allows measurements smaller than the main scale's smallest division.
Q5: What is zero error?
Zero error occurs when the zero mark of vernier scale doesn't coincide with zero of main scale
when jaws are closed. It can be positive (zero of vernier right of main scale zero) or
negative (zero of vernier left of main scale zero).
Q6: How do you correct zero error?
For positive zero error: subtract from observed reading. For negative zero error: add to
observed reading. Corrected Reading = Observed Reading ยฑ Zero Error.
Q7: What is Main Scale Reading (MSR)?
MSR is the reading on the main scale just before (to the left of) the zero mark of the
vernier scale when measuring an object.
Q8: What is Vernier Coinciding Division (VCD)?
VCD is the division number on the vernier scale that exactly aligns or coincides with any
division on the main scale.
Q9: Can we measure depth using Vernier Caliper?
Yes, the depth probe (tail) of the Vernier Caliper can measure the depth of holes, grooves,
or containers accurately.
Q10: What is parallax error?
Parallax error occurs when the observer's eye is not positioned perpendicular to the scale
while reading, causing incorrect measurement. Always view the scale at right angles.