Match List-I with List-II regarding the specifications of different...

For a vernier calliper where $n$ VSD = $(n-1)$ MSD, the Least Count (LC) is given by $\dfrac{1}{n} \text{ MSD}$.

A. $10 \text{ divisions/cm} \Rightarrow 1 \text{ MSD} = \dfrac{1}{10} \text{ cm} = 1 \text{ mm}$.
$\text{LC} = \dfrac{1 \text{ mm}}{10} = 0.1 \text{ mm}$. (Matches IV)

B. $20 \text{ divisions/cm} \Rightarrow 1 \text{ MSD} = \dfrac{1}{20} \text{ cm} = 0.5 \text{ mm}$.
$\text{LC} = \dfrac{0.5 \text{ mm}}{20} = 0.025 \text{ mm}$. (Matches III)

C. $20 \text{ divisions/cm} \Rightarrow 1 \text{ MSD} = \dfrac{1}{20} \text{ cm} = 0.5 \text{ mm}$.
$\text{LC} = \dfrac{0.5 \text{ mm}}{25} = 0.02 \text{ mm}$. (Matches II)

D. $10 \text{ divisions/cm} \Rightarrow 1 \text{ MSD} = \dfrac{1}{10} \text{ cm} = 1 \text{ mm}$.
$\text{LC} = \dfrac{1 \text{ mm}}{20} = 0.05 \text{ mm}$. (Matches I)

Therefore, the correct matching is A-IV, B-III, C-II, D-I.

Answer: A-IV, B-III, C-II, D-I