Question

In a vernier calipers, (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 : 

(1) \( \frac{1}{10N}\) 

(2) \(\frac{1}{100(N + 1)}\) 

(3) \(100N\)

(4) \(10(N + 1)\) 

Answer 1

Correct option is : (2) \( \frac{1}{100(N + 1)}\) 

Vernier Constant = MSD - VSD 

\( =MSD- \frac{N}{N + 1} MSD\)

\(=\frac{1}{N + 1}{MSD}\) 

\(=\frac{1}{N + 1}(0.01)cm\)

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