Concept:
Deficiency of different vitamins causes specific health disorders in the human body.
• Vitamin A deficiency causes night blindness.
• Vitamin D deficiency leads to rickets.
• Vitamin E deficiency may cause hemolysis.
• Vitamin K deficiency results in prolonged blood clotting.
Step 1: Match each vitamin with its deficiency disorder.
\[
\begin{aligned}
\text{Vitamin A} &\rightarrow \text{Night Blindness}
\text{Vitamin D} &\rightarrow \text{Rickets}
\text{Vitamin E} &\rightarrow \text{Hemolysis}
\text{Vitamin K} &\rightarrow \text{Prolonged clotting}
\end{aligned}
\]
Step 2: Write the correct matching sequence.
Thus, the correct matching is:
\[
A-III,\ B-I,\ C-IV,\ D-II
\]
Hence, the correct answer is:
\[
\boxed{(B)\ A\text{-}III,\ B\text{-}I,\ C\text{-}IV,\ D\text{-}II}
\]