Step 1: Recall the Finkelstein reaction.
Finkelstein reaction is a halogen exchange reaction used for the preparation of alkyl iodides from alkyl chlorides or alkyl bromides.
The reaction involves treatment of alkyl chloride or alkyl bromide with sodium iodide in dry acetone.
General reaction:
\[
RCl + NaI \longrightarrow RI + NaCl
\]
or
\[
RBr + NaI \longrightarrow RI + NaBr
\]
Step 2: Understand why the reaction proceeds.
The reaction is carried out in dry acetone because:
\[
NaI \text{ is soluble in acetone}
\]
whereas:
\[
NaCl \text{ and } NaBr \text{ are insoluble in acetone}
\]
As \(NaCl\) or \(NaBr\) precipitates out, the equilibrium shifts toward product formation according to Le Chatelier’s principle.
Step 3: Identify the product formed.
The reaction converts alkyl chlorides or bromides into alkyl iodides.
Thus, the product formed is:
\[
RI
\]
Step 4: Match with the given options.
The correct option is:
\[
(2)\; RI
\]
Step 5: Final conclusion.
Hence, Finkelstein reaction is used for the synthesis of:
\[
\boxed{RI}
\]