Step 1: Identify \(CaSO_4\cdot 2H_2O\).
\[
CaSO_4\cdot 2H_2O
\]
is calcium sulfate dihydrate.
It is commonly known as Gypsum.
Therefore,
\[
\text{I} \rightarrow \text{B}
\]
Step 2: Identify \(CaSO_4\cdot 0.5H_2O\).
\[
CaSO_4\cdot 0.5H_2O
\]
is calcium sulfate hemihydrate.
It is prepared by heating gypsum at about \(373\)-\(393\ K\).
This compound is known as Plaster of Paris (POP).
Therefore,
\[
\text{II} \rightarrow \text{C}
\]
Step 3: Identify anhydrous \(CaSO_4\).
\[
CaSO_4
\]
is obtained by strongly heating gypsum.
The resulting product loses its ability to set with water and is called Dead burnt plaster.
Therefore,
\[
\text{III} \rightarrow \text{D}
\]
Step 4: Write the correct matching.
Combining the results,
\[
\text{I - B,\ \ II - C,\ \ III - D}
\]
Step 5: Final conclusion.
Hence, the correct matching is
\[
\boxed{\text{I - B;\ II - C;\ III - D}}
\]
Therefore, the correct option is (2).