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The least count of a vernier calliper in which 19 (19 mm) main scale divisions are divided into 20 equal divisions in the vernier scale will be

The least count of a vernier calliper in which 19 (19 mm) main scale divisions are divided into 20 equal divisions in the vernier scale will be Correct Answer 0.05

Concept:

The Vernier principle states that two different scales are constructed on a single known length of line and the difference between them is taken for fine measurements.

Determining the least count of Vernier callipers:

In the Vernier calliper shown in Fig the main scale divisions (9 mm) are divided into 10 equal parts in the Vernier scale. i.e.

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One main scale division (MSD) = 1 mm

One Vernier scale division (VSD) = 9/10 mm

Least count = 1 MSD - 1 VSD

= 1 mm - 9/10 mm = 0.1 mm

The difference between one MSD and one VSD = 0.1 mm

Calculation:

LC = 1 MSD – 1 VSD = 1mm – 19/20 mm = 1/20 mm =  0.05 mm

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