The screw of a screw gauge moves 4.5mm linearly for every 3 complete rotations of the ratchet. If the circular scale of the gauge has 95 divisions, the least count of the screw gauge is:
A
0.00158cm
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B
0.0158cm
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C
15.8μm
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D
1.58μm
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Solution
The correct option is C15.8μm Given: No. of circular scale divisions, N=95
The screw moves 4.5mm for every 3 rotations of the ratchet or the circular screw head. ⟹ The distance moved by the screw for 1 complete rotation of the ratchet, p=4.53=1.5mm. ∴The pitch of the screw, p=1.5mm
Least count of the screw gauge, L.C.=pN=1.595=0.0158mm 1mm=0.1cm ⟹L.C.=0.00158cm
Also 1mm=103μm ⟹L.C.=0.0158×103=15.8μm.