Question

In a Vernier calipers, one main scale division is
m cm and n divisions of Vernier scale coincides with (n – 1) divisions of the main scale. Minimum reading that can be taken from this Vernier caliper is

• A. $\frac{mn}{n-1}$
• B. $\frac{m}{n}$
• C. $\frac{(n-1)m}{n}$
• D. $\left(\frac{m}{n-1}\right)$

Answer 1

The correct option is B $\frac{m}{n}$

Vernier constant = Value of 1 main scale division – Value of 1 Vernier scale division
n Vernier scale division $=(n–1)$ main scale division
$=(n–1)mcm$
1 Vernier scale division $=\frac{(n-1)}{n}mcm$
Vernier count = $m-\left(\frac{n-1}{n}\right)m=\frac{m}{n}cm$