Question

Measurement taken with Vernier caliper are as follows: \(1.21, 1.23, 1.24, 1.20\) mm. What can be the least count of Vernier Caliper?

• A. \(0.1\) mm
• B. \(0.01\) mm
• C. \(0.001\) mm
• D. \(0.0001\) mm

Hint:

The least count of an instrument can often be identified by {the smallest difference between successive experimental readings}.

Answer 1

The Correct Option is B

1. To determine the least count of a Vernier caliper, we first need to analyze the given measurements: \(1.21, 1.23, 1.24, 1.20\) mm. These measurements are known to a precision of two decimal places.
2. The least count of a measuring instrument is the smallest measurement that can be taken accurately with it. For a Vernier caliper, it typically depends on the difference between the smallest divisions on the main scale and the Vernier scale.
3. From the given set of measurements, the difference between successive measurements is:
   • \(|1.23 - 1.21| = 0.02\) mm
   • \(|1.24 - 1.23| = 0.01\) mm
   • \(|1.21 - 1.20| = 0.01\) mm
4. The smallest difference observed is \(0.01\) mm.
5. Therefore, the least count of the Vernier caliper is determined by this smallest measurable unit, which is \(0.01\) mm.
6. Conclusively, the correct answer is 0.01 mm.