Topic 8: Least Count & Measurement Instruments

What is Least Count?

Least count is the smallest measurement that an instrument can measure accurately. It tells us the precision of the measuring instrument.

Importance of Least Count

An instrument with smaller least count gives more precise measurements. Before using any measuring instrument, its least count must be known.

Common Measuring Instruments

1. Metre Scale

A metre scale is used to measure length. The least count of a metre scale is usually 1 mm (0.1 cm).

2. Vernier Calipers

Vernier calipers are used to measure small lengths, internal and external diameters, and depths.

  • Main scale gives coarse measurement
  • Vernier scale gives fine measurement

Least count = Value of one main scale division – Value of one vernier scale division

3. Screw Gauge (Micrometer)

A screw gauge is used to measure very small lengths like diameter of a wire or thickness of a sheet.

Least count = Pitch / Number of divisions on circular scale

Zero Error

If an instrument does not show zero reading when the measured quantity is zero, it has zero error.

  • Positive zero error
  • Negative zero error
Q1. Least count of an instrument represents:
A) Accuracy
B) Precision
C) Range
D) Error
Answer: B

Q2. Least count of a metre scale is usually:
A) 1 cm
B) 0.1 cm
C) 0.01 cm
D) 1 m
Answer: B

Q3. Which instrument is used to measure the diameter of a thin wire?
A) Metre scale
B) Vernier calipers
C) Screw gauge
D) Measuring tape
Answer: C

Q4. Least count of a screw gauge depends on:
A) Radius
B) Length
C) Pitch and circular scale divisions
D) Diameter
Answer: C

Q5. Zero error occurs when:
A) Instrument is perfectly adjusted
B) Reading is maximum
C) Instrument does not read zero at zero measurement
D) Least count is zero
Answer: C

Least Count & Instruments – Revision

Least Count

Smallest value that an instrument can measure. Smaller least count → higher precision.

Metre Scale

  • Used to measure length
  • Least count = 1 mm (0.1 cm)

Vernier Calipers

  • Used for small lengths & diameters
  • Least count = 1 MSD – 1 VSD

Screw Gauge

  • Used to measure very small thickness
  • Least count = Pitch / Circular scale divisions

Zero Error

  • Occurs when instrument does not show zero
  • Can be positive or negative

CET Tip

Always apply zero correction after finding the observed reading.


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