Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5 {\mm}. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two divisions. The measured readings are listed below. Measurement condition Main scale reading Circular scale reading Two arms of gauge touching each other without wire 0 division 4 divisions Attempt-1: With wire 4 divisions 20 divisions Attempt-2: With wire 4 divisions 16 divisions What are the diameter and cross-sectional area of the wire measured using the screw gauge? [JEE Adv 2022 P2]

Correct Answer is : 2.14±0.02mm,π(1.14±0.02)mm2

2.22 \pm 0.02 {\mm}, \pi(1.23 \pm 0.02) {\mm}^2

2.22 \pm 0.01 {\mm}, \pi(1.23 \pm 0.01) {\mm}^2

2.14 \pm 0.02 {\mm}, \pi(1.14 \pm 0.02) {\mm}^2

2.14 \pm 0.01 {\mm}, \pi(1.14 \pm 0.01) {\mm}^2

Units and Measurements

Section: Physics

Question : 8 of 34

Marks: +1, -0

Area of the cross-section of a wire is measured using a screw gauge. The pitch of the main scale is 0.5‌mm. The circular scale has 100 divisions and for one full rotation of the circular scale, the main scale shifts by two divisions. The measured readings are listed below.

Measurement condition	Main scale reading	Circular scale reading
Two arms of gauge touching each other without wire	0 division	4 divisions
Attempt-1: With wire	4 divisions	20 divisions
Attempt-2: With wire	4 divisions	16 divisions

What are the diameter and cross-sectional area of the wire measured using the screw gauge?

[JEE Adv 2022 P2]

2.22±0.02‌mm,π(1.23±0.02)mm2
2.22±0.01‌mm,π(1.23±0.01)mm2
2.14±0.02‌mm,π(1.14±0.02)mm2
2.14±0.01‌mm,π(1.14±0.01)mm2

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