The pitch of an error free screw gauge is 1 mm and there are 100...

The pitch of an error free screw gauge is 1 mm and there are 100 divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads 1 mm and

63^{\text{rd }}

division on the circular scale coincides with the reference line. The diameter of the wire is:

Options

A1.63 cm
B0.163 cm
C0.163 m
D1.63 m

Correct answer

B. 0.163 cm

Step-by-step solution

Least count of screw gauge

=\frac{\text{ Pitch }}{\text{ No. of divisions on circular scale }} \Rightarrow \quad

Least count

=\frac{1}{100}=0.01 \mathrm{~mm}

Final reading = MSR

+\mathrm{CSR} \times

L.C.

=1 \mathrm{~mm}+(63)(0.01) \mathrm{mm}=1.63 \mathrm{~mm}=0.163 \mathrm{~cm}

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