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Q.

Two full turns of the circular scale of a screw gauge cover a distance of 1mm on its main scale. The total number of divisions on the circular scale is 50. Fuerther, it is foun that the screw gauge has a zero error of –0.03 mm. while measuring the diameter of a thin wire, astudent notes the main scale reading of 3mmand the total no.of circular scale divisions inline with the main scale as 35. The diameterof the wire is 

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a

3.67 mm

b

3.73 mm

c

3.38 mm

d

3.32 mm

answer is D.

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Detailed Solution

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Pitch of screw=1mm2=0.5mm
L.C =0.5mm50=0.01mm
error =-0.03 mm; correcttion=0.03 mm 
Reading =(3 mm+35 × 0.01 mm)+0.03 mm
 =3.38 mm

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