Step 1: Recall the functions of eukaryotic RNA polymerases.
\[
\boxed{
\begin{aligned}
\text{RNA Polymerase I} &\rightarrow 28S,\ 18S,\ 5.8S\ rRNA
\text{RNA Polymerase II} &\rightarrow hnRNA\ (mRNA\ precursor)
\text{RNA Polymerase III} &\rightarrow tRNA,\ 5S\ rRNA,\ \text{some snRNA}
\end{aligned}
}
\]
Step 2: Identify the mismatched pair.
snRNA is primarily synthesized by RNA Polymerase III (as per NCERT classification), not by RNA Polymerase II.
Hence,
\[
\boxed{\text{RNA Polymerase II }\rightarrow\text{ SnRNA and hnRNA}}
\]
is the mismatched pair.
Step 3: Choose the correct option.
Therefore, the correct option is
\[
\boxed{(B).}
\]