The side of a cube is measured by vernier callipers (`10` divisions of a vernier scale coincide with `9` divisions of main scale, where `1` division of main scale is `1mm`). The main scale reads `10mm` and first division of vernier scale coincides with the main scale. Mass of the cube is `2.736 g`. find the density of the cube in appropriate significant figures.
Text Solution
AI Generated Solution
To find the density of the cube, we will follow these steps:
### Step 1: Determine the Least Count of the Vernier Caliper
The least count (LC) of the Vernier caliper is calculated as:
\[
\text{Least Count} = \frac{\text{Value of 1 Main Scale Division}}{\text{Number of Vernier Scale Divisions}} = \frac{1 \text{ mm}}{10} = 0.1 \text{ mm} = 0.01 \text{ cm}
\]
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