In an usual vernier, 10 vernier scale divisions, coin side...

In an usual vernier, 10 vernier scale divisions, coin side with 8 main scale divisions, then what is the least count of the vernier?
(A) $0.1 \mathrm{~mm}$
(B) $0.2 \mathrm{~mm}$
(C) $0.8 \mathrm{~mm}$
(D) $(1 / 8) \mathrm{mm}$

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Key Concepts

Least Count

The least count of a measuring instrument is defined as the smallest measurement that can be accurately read from it. In the context of a vernier caliper, it is determined by the difference between the value of one main scale division and the value represented by one vernier scale division. This calculation reflects the finest resolution of the instrument, establishing its precision.

Main Scale and Vernier Scale Divisions

The main scale of the caliper is marked with equally spaced divisions that represent the base unit of measurement. The vernier scale, which slides alongside the main scale, is divided into a number of divisions that, over a certain length, correspond to a slightly different number of main scale divisions. This relationship is critical as it forms the basis for calculating the finer measurement increments.

Vernier Caliper

A vernier caliper is a precision measuring instrument that uses two scales—a main scale and a vernier scale—to read measurements with a higher degree of accuracy than what can be achieved using the main scale alone. The vernier scale allows one to measure fractions of the smallest main scale division, thus improving the precision.

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