Screw Gauge Reading – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Screw Gauge

Screw Gauge Reading

A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading: \(0 \text{mm}\) Circular scale reading: \(52 \text{divisions}\) Given that \(1 \text{mm}\) on main scale corresponds to \(100 \text{divisions}\) on the circular scale. The diameter of the wire from the above data is:

[NEET 2020]

\(0.026 text{cm}\)
\(0.26 text{cm}\)
\(0.052 text{cm}\)
\(0.52 text{cm}\)

Solution:

Pitch = \(1 \text{mm}\), Number of divisions = \(100\). Least Count (LC) = Pitch / Number of divisions = \(1 \text{mm} / 100 = 0.01 \text{mm}\). Total reading = MSR + (CSR \(\times\) LC) = \(0 \text{mm} + (52 \times 0.01 \text{mm}) = 0.52 \text{mm}\). Convert to cm: \(0.52 \text{mm} = 0.052 \text{cm}\).

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