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In a screw gauge, the reference line of the main scale coincides with the fifth division of the circular scale when the two studs are in contact. There are 100 divisions on the circular scale and the pitch is 0.1 mm. Measuring a sphere, the main scale reads 5 mm and the 50th circular division coincides with the reference line. The diameter of the sphere is ______ mm.

Asked in JEE Main 2nd April 2nd Shift 2026 · Positive zero error

Answer: (1) 5.045

Step-by-step solution

L.C. =(0.1)/(100)=0.001 mm.

Positive zero error =5×0.001=0.005 mm (reference at the 5th division when closed).

Observed =5+50×0.001=5.05 mm.

Corrected =5.05-0.005=5.045 mm.

Why the other options are wrong

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