Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50 . Further, it is found that the screw gauge has a zero error of - 0.03 mm . While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions, in line with the main scale, as 35 . The diameter of the wire is

Question

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50 . Further, it is found that the screw gauge has a zero error of - 0.03 mm . While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions, in line with the main scale, as 35 . The diameter of the wire is, 3.38 mm, 3.32 mm, 3.73 mm, 3.67 mm

MARKS App · Accepted Answer

Least count of the screw gauge, = 0.5 mm 50 = 0.01 mm Main scale reading = 3 mm Vernier scale reading = 35 ∴ Observed reading = 3 + 0.35 = 3.35 mm Zero error = -0.03 mm ∴ Actual diameter of the wire = 3.35 - - 0.03 = 3.38 mm

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