Generally least count of the commonly used Vernier is:a)0.1 mmb)0.01 m...
Least count is said to be the smallest value that can be measured by a measuring instrument. A Vernier scale on calliper may have a least count of 0.02 mm while a micrometre may have a least count of 0.001 mm.
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Generally least count of the commonly used Vernier is:a)0.1 mmb)0.01 m...
Least count of the Vernier Caliper
The least count of a measuring instrument is the smallest measurement that can be measured accurately with that instrument. In the case of a Vernier caliper, the least count is determined by the division on the main scale and the number of divisions on the Vernier scale.
Main scale
The main scale of a Vernier caliper is typically graduated in millimeters (mm) or inches (in). It consists of a fixed jaw and a movable jaw that can be adjusted to measure objects of different sizes. The main scale is divided into equal divisions, which represent the whole units of measurement.
Vernier scale
The Vernier scale is a secondary scale that slides along the main scale. It is used to measure the fractional part of the unit of measurement. The Vernier scale has a smaller division size compared to the main scale, allowing for more precise measurements.
Least count calculation
To determine the least count of a Vernier caliper, we need to consider the division size of both the main scale and the Vernier scale.
The main scale is typically divided into millimeters (mm), and each division represents one millimeter. Therefore, the least count of the main scale is 1 mm.
The Vernier scale is divided into a certain number of divisions that correspond to a slightly smaller length than one millimeter on the main scale. The number of divisions on the Vernier scale is determined by the design of the Vernier caliper.
In the case of the commonly used Vernier caliper, the Vernier scale is divided into 50 divisions. This means that the length represented by 50 divisions on the Vernier scale is slightly smaller than one millimeter on the main scale.
To calculate the least count of the Vernier caliper, we divide the smallest division on the main scale (1 mm) by the number of divisions on the Vernier scale (50).
Least count = 1 mm / 50 divisions = 0.02 mm
Therefore, the least count of the commonly used Vernier caliper is 0.02 mm.
Conclusion
The least count of the commonly used Vernier caliper is 0.02 mm. This means that the Vernier caliper can measure lengths with an accuracy of 0.02 mm, allowing for precise measurements in mechanical engineering and other fields.