What is the least measurement of a vernier calliper?

Options

A. 0.01 mm
B. 0.01 cm
C. 0.05 mm
D. None of these

Explanation

To determine the least measurement of a vernier caliper, we need to understand the concept of least count. The least count is the smallest measurement that can be accurately read using the instrument. Here's how to approach the problem step by step:

### Step-by-Step Solution:

1. **Understand the Components of a Vernier Caliper**:
- A vernier caliper consists of two scales: the main scale and the vernier scale. The main scale is typically marked in millimeters, while the vernier scale allows for more precise measurements.

2. **Identify the Formula for Least Count**:
- The least count (LC) of a vernier caliper can be calculated using the formula:
\[ \text{Least Count (LC)} = \text{Value of 1 Main Scale Division (MSD)} - \text{Value of 1 Vernier Scale Division (VSD)} \]

3. **Recognize the Values Needed**:
- To calculate the least count, we need the values of one main scale division and one vernier scale division. Typically, for a standard vernier caliper:
- 1 MSD = 1 mm
- 1 VSD = 0.9 mm (for a common vernier with 10 divisions on the vernier scale)

4. **Calculate the Least Count**:
- Using the typical values:
\[ \text{LC} = 1 \text{ mm} - 0.9 \text{ mm} = 0.1 \text{ mm} \]
- Therefore, the least count of a standard vernier caliper is 0.1 mm.

5. **Conclusion**:
- Since the question does not provide specific values for the main scale and vernier scale divisions, we cannot determine the least measurement without that information. Hence, the answer would be "none of these" if specific options were provided.

### Final Answer:
The least measurement of a vernier caliper cannot be determined without specific values for the main scale and vernier scale divisions. Therefore, the answer is "none of these."