The least count of a vernier callipers is 0.01 cm. Then, the error in the measurement is

Options

A. `gt 0.01 cm`
B. `ge 0.01 cm`
C. `lt 0.01 cm`
D. `le 0.01 cm`

Answer

To solve the problem regarding the error in measurement using a vernier caliper with a least count of 0.01 cm, we can follow these steps:

### Step 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 of the vernier caliper is given as 0.01 cm.

**Hint:** Remember that the least count indicates the precision of the measuring instrument.

### Step 2: Determine the Possible Measurement Error
The error in measurement using a vernier caliper can be considered as the uncertainty in the measurement. The maximum possible error is equal to the least count of the instrument.

**Hint:** The maximum error is typically equal to the least count of the measuring device.

### Step 3: State the Error Range
Since the least count is 0.01 cm, the error in measurement can be expressed as:
- Maximum error = Least count = 0.01 cm
- Therefore, the error can be less than or equal to 0.01 cm.

**Hint:** The error can be represented as a range: it can be zero or up to the least count.

### Step 4: Conclusion
Thus, the error in measurement using the vernier caliper is less than or equal to 0.01 cm.

**Final Answer:** The error in measurement is ≤ 0.01 cm.

### Summary of Steps:
1. Understand the least count.
2. Determine the maximum possible error.
3. State the error range.
4. Conclude with the maximum error value.