The correct answer is sp2 and sp3.
Here's why:
- Hybridization and Carbanions: A carbanion is a carbon atom with a negative charge and three substituents. The hybridization depends on whether the lone pair on the carbon is involved in resonance.
- Structure (1): In structure (1), the carbanion is directly attached to a carbonyl group. The negative charge can delocalize into the carbonyl group through resonance: $^-C - C=O <-> C = C - O^-$ This resonance delocalization makes the carbanion sp2 hybridized. The carbon has 3 sigma bonds and 0 lone pair. The lone pair participates in pi-bonding.
- Structure (2): In structure (2), the carbanion is attached to 3 other atoms with single bonds. Therefore, it is sp3 hybridized. The carbon has 3 sigma bonds and 1 lone pair.
Therefore, the hybridization of the negatively charged carbons in (1) and (2) are sp2 and sp3, respectively.
Correct Answer: sp2 and sp3