The pitch of a screw gauge is 1 mm and there are 100 divisions on its circular scale. When noth

step 1 Hi everyone here it is given least count of main scale is 1mm number of division on circular sca

The pitch of a screw gauge is 1 mm and there are 100...

The pitch of a screw gauge is $1 \mathrm{~mm}$ and there are 100 divisions on its circular scale. When nothing is put in between its jaws, the zero of the circular scale lies 4 divisions below the reference line. When a steel wire is placed between the jaws, two main scale divisions are clearly visible and 67 divisions on the circular scale are observed. The diameter of the wire is (A) $2.71 \mathrm{~mm}$ (B) $2.67 \mathrm{~mm}$ (C) $2.63 \mathrm{~mm}$ (D) $2.65 \mathrm{~mm}$

The pitch of a screw gauge is $1 \mathrm{~mm}$ and there are 100 divisions on its circular scale. When nothing is put in between its jaws, the zero of the circular scale lies 4 divisions below the reference line. When a steel wire is placed between the jaws, two main scale divisions are clearly visible and 67 divisions on the circular scale are observed. The diameter of the wire is
(A) $2.71 \mathrm{~mm}$
(B) $2.67 \mathrm{~mm}$
(C) $2.63 \mathrm{~mm}$
(D) $2.65 \mathrm{~mm}$

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Key Concepts

Pitch

The pitch of a screw gauge is the axial distance advanced by the spindle in one complete revolution of the screw. This distance defines how much the gauging screw moves and is fundamental to understanding the motion and measurement resolution of the instrument.

Least Count

The least count is the smallest measurable increment of displacement that the instrument can resolve. It is calculated by dividing the pitch by the total number of divisions on the circular scale, which determines the precision of the measurement taking.

Zero Error Correction

Zero error refers to the misalignment observed when the instrument is in its zero position, where the zero of the circular scale does not coincide with the main scale. Properly accounting for zero error by adding or subtracting this discrepancy is essential for obtaining accurate measurements.

Measurement Combination

Accurate measurement using a screw gauge involves combining the main scale reading with the fractional reading obtained from the circular scale, followed by applying any necessary corrections such as for zero error. This integrated approach ensures that the final measurement reflects the true value of the dimension being measured.

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