What is vernier constant?

Options

A. It is the value of one main scale division divided by the total number of divisons on the main scale
B. It is the value of one vernier scale division divided by the total number of divisions on the verier scale
C. It is the difference between value of one main scale division and one vernier scale division
D. It is also the least count of the vernier scale

Answer

To find the vernier constant, we need to understand the relationship between the main scale and the vernier scale of a vernier caliper. Here’s a step-by-step solution:

### Step 1: Understand the Definitions
- **Main Scale Division (MSD)**: This is the smallest measurement unit on the main scale of the vernier caliper.
- **Vernier Scale Division (VSD)**: This is the smallest measurement unit on the vernier scale.

### Step 2: Identify the Formula for Vernier Constant
The vernier constant (VC) is defined as the difference between one main scale division and one vernier scale division. Mathematically, it can be expressed as:
\[ VC = \text{MSD} - \text{VSD} \]

### Step 3: Explanation of the Vernier Constant
The vernier constant gives us the least count of the vernier caliper, which is the smallest measurement that can be accurately read using the instrument. It is crucial for precise measurements.

### Step 4: Conclusion
Thus, the vernier constant is the difference between the value of one main scale division and one vernier scale division. Therefore, the correct answer is:
- **Option C**: It is the difference between the value of one main scale division and one vernier scale division.