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, the screw gauge has a zero error of –0.03 mm. If main scale reading is 3 mm and circular scale reading is 35 during the measurement of diameter of a wire. Then diameter of wire is $(3 = \frac{x}{100}) m m$ . The value of x is_____.

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answer is 38.

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Detailed Solution

$L.C= \frac{1}{50×2} =0.01mm$
$∴$ Diameter = 3 + 35 × 0.01 + 0.03
= 3.38 mm
$= (3+ \frac{38}{100}) mm$

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