The length of a rod is measured as 31.52 cm. Granduations on the scale are upto

Options

A. 1mm
B. 0.01 mm
C. 0.1 mm
D. 0.02 mm

Answer

To solve the problem regarding the measurement of the length of a rod as 31.52 cm and to determine the graduations on the scale, we can follow these steps:

### Step 1: Understand the Measurement
The length of the rod is given as 31.52 cm. This means that the measurement is precise to two decimal places.

### Step 2: Determine the Least Count
The least count of a measuring instrument is the smallest value that can be measured accurately. Since the measurement is given to two decimal places (31.52 cm), the least count can be inferred to be 0.01 cm. This is because the last digit (2 in this case) indicates the precision of the measurement.

### Step 3: Convert the Least Count to Millimeters
To express the least count in millimeters, we need to convert centimeters to millimeters. We know that:
1 cm = 10 mm

Thus, the least count of 0.01 cm can be converted as follows:
\[ 0.01 \text{ cm} = 0.01 \times 10 \text{ mm} = 0.1 \text{ mm} \]

### Step 4: Conclusion
The graduations on the scale, which represent the least count, are therefore 0.1 mm.

### Final Answer
The graduations on the scale are up to **0.1 mm**.

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