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Question

The circular scale of a screw gauge has 50 divisions and pitch of 0.5 mm. Find the diameter of the sphere. Main scale reading is 2.

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A
1.2 mm
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B
1.25 mm
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C
2.22 mm
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D
2.25 mm
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Solution

The correct option is D 2.25 mm
Pitch of the circular scale P=0.5 mm
Number of divisions on circular scale N=50
So least count of screw gauge L.C =PN=0.550 mm=0.01 mm
Now, main scale reading is given as M.S.R =2 mm
Marking on circular scale n=25
Thus, diameter of sphere d=M.S.R+n×L.C
d=2 mm+25×0.01 mm=2.25 mm
Thus option D is correct.

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