Errors in measurementHard
Question
In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measured. If pitch scale reading is 1 mm and the circular scale reading is 51 then the correct thickness of the sheet is $\_\_\_\_$ mm.
[Assume least count is 0.01 mm ]
Options
A.1.50
B.1.48
C.1.54
D.1.51
Solution
Zero error $e = - 3 \times LC = - 0.03\text{ }mm$
Reading taken $= 1\text{ }mm + 51(0.01\text{ }mm)$
$$= 1.51\text{ }mm $$So, correct reading $= 1.51 - ( - 0.03)$
$$= 1.54\text{ }mm$$
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