There are 100 divisions on the circular scale of a screw gauge of...

There are 100 divisions on the circular scale of a screw gauge of pitch

1 \mathrm{~mm}

. With no measuring quantity in between the jaws, the zero of the circular scale lies 5 divisions below the reference line. The diameter of a wire is then measured using this screw gauge. It is found that 4 linear scale divisions are clearly visible while 60 divisions on circular scale coincide with the reference line. The diameter of the wire is :

Options

A $3.35 \mathrm{~mm}$
B $4.65 \mathrm{~mm}$
C $4.55 \mathrm{~mm}$
D $4.60 \mathrm{~mm}$

Correct answer

C. $4.55 \mathrm{~mm}$

Step-by-step solution

\begin{aligned} & \text{ Least count }=\frac{1}{100} \mathrm{ mm}=0.01 \mathrm{ mm} \\ & \text{ zero error }=+0.05 \mathrm{ mm} \\ & \text{ Reading }=4 \times 1 \mathrm{ mm}+60 \times 0.01 \mathrm{ mm}-0.05 \mathrm{ mm} \\ & =4.55 \mathrm{ mm}\end{aligned}

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