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In a screw gauge, there are 100 divisions in circular scale and each main scale division is of 1 mm. When there is no gap between the jaws, 97^th divisions coincides with the main scale zero and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between 3 mm mark and 4 mm mark such that the 76^th division of circular scale coincides with the reference line. Select the correct alternative

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the main scale reading is 4 mm

the zero error is – 0.04 mm

the least count of the micrometer is 0.01 cm

the diameter of the ball is 3.79 cm

answer is C.

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Detailed Solution

Least count $= \frac{Pitch}{Number of divisions on circular scale}$
$= \frac{1 mm}{100} = 0 .01 mm = 0 .001 cm$
Zero error = – 0.03 mm
Measurement = 3.76 – (– 0.03) = 3.79 mm

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