Question

In a Vernier caliper, $N+1$ divisions of vernier scale coincide with $N$ divisions of main scale. If 1 MSD represents 0.1 mm, the vernier constant (in cm) is:

• A. $\frac{1}{10N}$
• B. $\frac{1}{100(N+1)}$
• C. $100N$
• D. $10N+1$

Answer 1

Answer: (B)

$\frac{1}{100(N+1)}$

Answer 2

Vernier constant is the least count and is calculated as:
V.C. = 1 MSD - 1 VSD.
Substituting:
V.C. = $0.1 - \frac{0.1}{N + 1} = \frac{0.1}{N + 1} \, mm = \frac{1}{100(N + 1)} \, cm$.