Question

Calculate the least count of the screw gauge.

Answer 1

Step 1: Given data

The distance proceeded by the tip of the screw when cranked through one division of the head scale is defined as the screw gauge's least count.

Pitch = $1\mathrm{mm}$

Total no.of divisions on the circular scale = $100\mathrm{divisions}$

Step 2: Formula used

$Leastcount\left(LC\right)ofthescrewgauge=\frac{Pitch}{Totalno.ofdivisionsonthecircularscale}$

Step 3: Calculation

By substituting the values in the formula, we get

$$\begin{gathered} \mathrm{LC}=\frac{1}{100} \\ ={10}^{-3}\mathrm{cm} \end{gathered}$$

Therefore, the least count of any screw gauge is ${10}^{-3}\mathrm{cm}$.