MCQ Solution: Physical world and measurement
The pitch of a screw gauge is 1mm and there are 100 divisions on circular scale. When faces A and B are just touching each without putting anything between the studs 32nd division on the circular scale coincides with reference line. When a glass plate is placed between the studs, the linear scale reads 4 divisions and the circular scale reads 16 divisions. Find the thickness of the glass plate. Zero of linear scale is not hidden from circular scale when A and B touches each other.
1) 3.841mm
2) 3.84mm
3) 3.85mm
4) 3.846mm
As zero is not hidden from cricular scale when A and B touches each other.
Hence, the screw gauge has positive error.
e=+n(LC)=32×0.01=0.32 mm
Linear scale reading =4×(1mm)=4mm
Circular scale reading =16×(0.01mm)=0.16mm
∴ Measured reading-e =(4+0.16)mm=4.16 mm
∴ Absolute reading = Measured reading-e
=(4.16−0.32)mm=3.84mm
Therefore, thickness of the glass plate is 3.84mm.
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