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Question

The pitch of a screw gauge is 1 mm and there are 100 divisions on the circular scale. In measuring the diameter of a sphere there are six divisions on the linear scale and forty divisions on circular scale coincides with the reference line. Find the diameter of the sphere.

A
34mm
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B
46mm
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C
6.4mm
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D
62mm
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Solution

The correct option is C 6.4mm
Least count of the screw gauge is L.C= pitch / number of circular divisions =1/100=0.01mm
Linear scale reading (LSR) =6×1mm=6mm
Circular scale reading (CSR) =40
Diameter of the sphere =LSR+(CSR×L.C)=6+(40×0.01)=6.4mm

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