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

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