Concept:
Reaction intermediates have characteristic hybridisation depending on electron arrangement around carbon atom.
Step 1:
Carbocation contains six electrons around carbon and has trigonal planar structure.
\[
sp^{2}
\]
hybridisation.
Step 2:
Carbon free radical generally shows:
\[
sp^{2}
\]
hybridisation.
Singlet carbene can also show:
\[
sp^{2}
\]
hybridisation.
Step 3:
Carbanion possesses one lone pair on carbon.
It generally has pyramidal geometry with:
\[
sp^{3}
\]
hybridisation.
Step 4:
Hence reaction intermediate that cannot show \(sp^{2}\) hybridisation is:
\[
\boxed{\text{Carbanion}}
\]
\[
\boxed{\text{Correct Option = (2)}}
\]