Step 1: Examine the assertion.
Peptide bond formation occurs at the
\[
\boxed{\text{Peptidyl Transferase Center (PTC)}}
\]
of the large ribosomal subunit.
During elongation, the aminoacyl-tRNA enters the
\[
\boxed{\text{A site}}
\]
and the growing peptide attached to the tRNA at the P site is transferred to the amino acid in the A site.
Hence, peptide bond formation is associated with the
\[
\boxed{\text{A site and the Peptidyl Transferase Center,}}
\]
not the P site alone.
Therefore,
\[
\boxed{\text{Assertion [A] is false}.}
\]
Step 2: Examine the reason.
The peptidyl transferase activity of the ribosome is catalyzed by
\[
\boxed{23\mathrm{S}\ \text{rRNA}}
\]
in prokaryotes (or \(28\mathrm{S}\) rRNA in eukaryotes), demonstrating that the ribosome acts as a ribozyme.
Hence,
\[
\boxed{\text{Reason [R] is true}.}
\]
Step 3: Establish the relationship.
Since the assertion is false but the reason is true,
\[
\boxed{(D)}
\]
is the correct answer.