Question

Vernier calipers are used for measuring lengths to an accuracy of:

Answer 1

Hint: Least count of the vernier scale is given by dividing the smallest reading of the main scale with the total number of vernier scale divisions. The length of an object is measured by keeping the object between the two jaws of the vernier scale. The reading of the vernier scale starts from the left-hand side of the scale.

Complete answer:
Vernier calipers are the tool which is used for measuring the linear dimensions of an object. A vernier caliper consists of two types of scale. The First scale is known as the main scale which is fixed and the second scale is the vernier scale which is not fixed and it keeps moving. Vernier calipers are mainly in millimeters. A vernier caliper generally has a range of 300mm and the maximum capacity of a vernier caliper is the difference between its smallest and largest measurement of the reading. Vernier calipers are also used for measuring diameter of the circular objects.
The readings of the vernier caliper are more accurate than a normal ruler. The object is kept between the two jaws of the vernier calipers and then the obtained value is added to the vernier caliper value and the final result will be obtained.
The least count of an object determines how precisely that instrument can measure your dimensions. The least count of vernier scale is given as shown below.
     \[Least\text{ }count=\dfrac{value\text{ }of\text{ }1\text{ }main\text{ }scale\text{ }division}{total\text{ }main\text{ }scale\text{ }divison}\]
The Least count of the main scale is given below
\[Least\text{ }count\text{ }of\text{ }main\text{ }scale=\dfrac{1}{10}\]
So the least count of the main scale will be equal to \[1\text{ }MM\]
Total division on the vernier scale will be equal to \[50\] divisions.
\[Least\text{ }count\text{ }of\text{ }vernier\text{ }scale=\dfrac{0.1}{50}\]
So the least count of the vernier scale will be equal to \[0.02MM\]
So the least count of vernier calipers will be \[0.02MM\].
There are two types of error in the vernier scale. First is positive zero error which is seen when the zero of the vernier scale is on the right side of the main scale, so the zero correction value will be negative. The Second one is negative zero error which is obtained if the zero of vernier scale is on the left-hand side of the zero of the main scale. So in this case the value of zero correction will be negative.
A vernier caliper is used for measuring lengths of an object to an accuracy of \[{{10}^{-4}}m\]

Note: Vernier caliper can also be used to measure the depth, inner radius, and outer radius of the objects. A vernier scale has ten divisions. If the least count of the vernier scale is the smallest then it gives the most precise and accurate dimensions that you can measure for an object.