A student measures the length of a rope with a meter-scale and get the value 75.5 cm. An another student measures the circumference of a wire 0.755 cm. Then, precision will

Options

A. equal
B. unequal
C. 10 cm
D. can't be determined

Explanation

To determine which measurement is more precise, we need to analyze the least count of the measuring instruments used for both measurements.

### Step-by-Step Solution:

1. **Identify the Measurements**:
- The first student measures the length of a rope as **75.5 cm**.
- The second student measures the circumference of a wire as **0.755 cm**.

2. **Determine the Least Count of Each Measurement**:
- For the first measurement (75.5 cm), we assume it was measured using a meter scale with a least count of **0.1 cm**. This means the smallest division on the scale is 0.1 cm.
- For the second measurement (0.755 cm), we assume it was measured using a more precise instrument, likely a Vernier caliper or a micrometer screw gauge, with a least count of **0.001 cm**.

3. **Analyze the Precision**:
- Precision is inversely related to the least count of the measuring instrument. A smaller least count indicates higher precision.
- For the first measurement (75.5 cm), the least count is 0.1 cm, which means the precision is lower.
- For the second measurement (0.755 cm), the least count is 0.001 cm, indicating a much higher precision.

4. **Conclusion**:
- Since the least count of the second measurement (0.001 cm) is smaller than that of the first measurement (0.1 cm), the measurement of the circumference (0.755 cm) is more precise than the measurement of the length of the rope (75.5 cm).

### Final Answer:
The measurement of the circumference (0.755 cm) is more precise than the measurement of the length of the rope (75.5 cm).

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