The least count of an istrument is `0.01cm`. Taking all precautions, the most possible error in the measurement can be

Options

A. (a)`0.02cm`
B. (b)`0.01cm`
C. (c)`0.005cm`
D. (d)`0.001cm`

Answer

To solve the problem, we need to determine the most possible error in the measurement based on the least count of the instrument provided.

### Step-by-Step Solution:

1. **Understand the Concept of Least Count**:
The least count of an instrument is the smallest value that can be measured accurately with that instrument. In this case, the least count is given as 0.01 cm.

2. **Identify the Most Possible Error**:
The most possible error in measurement, when taking all precautions, is typically equal to the least count of the instrument. This means that the maximum error we can expect in our measurement is the same as the least count.

3. **State the Given Values**:
- Least Count (LC) = 0.01 cm

4. **Calculate the Most Possible Error**:
Since the most possible error is equal to the least count:
\[ \text{Most Possible Error} = \text{Least Count} = 0.01 \text{ cm} \]

5. **Conclusion**:
Therefore, the most possible error in the measurement can be 0.01 cm.

### Final Answer:
The most possible error in the measurement is **0.01 cm**.