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Question

Least count/hop count of main scale of a vernier callipers is defined as:

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Solution

Dear student,

The least count as the name suggests is the finest measurement you can take with the help of that Vernier calipers. It is measured by dividing the least count of the main scale by the total number of divisions on the Vernier scale. The Least Count (LC) of Vernier scale is given as
Least count =Least count of main scale / Number of divisions on Vernier scale.

Least count of the main scale: The main scale is calibrated in millimeters. To get the least count of the main scale, count the number of divisions on the main scale in one cm of it. Divide 1 cm into that much number of divisions; the value obtained is the least count of the main scale in cm. For example, if there are 10 divisions in one centimeter of the main scale its least count = 1/10 = 0.1 cm.

Number of divisions on Vernier scale: In most Vernier calipers, the Vernier scale has 10 divisions. Count the number of divisions on the Vernier scale. Use a magnifying glass if necessary.
For most Vernier calipers least count of main scale = 0.01 cm and number of divisions on Vernier scale = 10 divisions. Thus
Least Count of Vernier calipers = 0.01/ 10 cm
Least Count of Vernier calipers= 0.001 cm

Since the least count of the Vernier caliper is 0.001 cm, it can be said that when measuring with the help this Vernier caliper, you can get an accuracy of 0.001 cm.


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