Question

If the smallest measurement that can be measured by using a scale is $0.1\mathrm{mm},$then the length of $1\mathrm{m}$in the scale is divided into_______ equal parts.

• A. 1000
• B. 5000
• C. 10000
• D. 50000

Answer 1

The correct option is C

10000

Step 1: Given

Since the smallest measurement$=0.1\mathrm{mm}$

Length of scale = 1 m.

Step 2: Solution

$$\begin{gathered} 1\mathrm{mm}={10}^{-3}\mathrm{m} \\ 0.1\times 1\mathrm{mm}=0.1\times {10}^{-3}\mathrm{m} \end{gathered}$$

$0.1\mathrm{mm}=1\times {10}^{-4}\mathrm{m}$

$\because$ The smallest division is$0.1\mathrm{mm}\mathrm{or}1\times {10}^{-4}\mathrm{m}$

If we have to calculate the total parts on$1\mathrm{m}$ the scale.

$$\begin{gathered} \therefore Totalno.ofparts=\frac{Fulllengthofthescale\left(m\right)}{Thesmallestdivision\left(m\right)} \\ =\frac{1\mathrm{m}}{1\times {10}^{-4}\mathrm{m}} \\ =10000parts \end{gathered}$$

Hence the correct option is C, the 1m scale is divided into$10,000$ parts.