To determine the least count of the instrument, follow these steps:
1. Identify the Least Count of the Main Scale:
The least count of the main scale is given as 2 mm. This means that the smallest subdivision or measurement on the main scale is 2 mm.
2. Divisions on the Vernier or Trimble Scale:
The Trimble has 50 divisions.
3. Calculate the Least Count of the Instrument:
The least count of the instrument is defined as the smallest measurement that can be accurately measured using the instrument. To find this, you divide the least count of the main scale by the number of divisions on the Trimble scale.
[tex]\[
\text{Least Count of the Instrument} = \frac{\text{Least Count of Main Scale}}{\text{Number of Divisions on Trimble}}
\][/tex]
Plugging in the values we have:
[tex]\[
\text{Least Count of the Instrument} = \frac{2 \, \text{mm}}{50}
\][/tex]
4. Perform the Division:
[tex]\[
\text{Least Count of the Instrument} = \frac{2}{50} = 0.04 \, \text{mm}
\][/tex]
So, the least count of the instrument is 0.04 mm. This means the instrument can measure accurately up to 0.04 mm.
