A compound is optically inactive if it either: 1. Lacks a chiral center (no carbon with four different substituents), or
2. Exists as a racemic mixture (which isn't relevant for this question)
Analysis of each option: 1. 2-Bromopropanal \(CH_3-C(=O)-CH_2Br\)
- Contains a chiral center at C-2 (attached to -H, -Br, -CHO, -CH$_3$)
- Optically active 2. 3-Bromopropanal \(Br-CH_2-CH_2-CHO\)
- No chiral center (C-1: attached to two H's; C-2: attached to two CH$_2$ groups)
- Optically inactive 3. 3-Bromo-2-iodopropanal \(Br-CH_2-CH(I)-CHO\)
- Chiral center at C-2 (attached to -H, -I, -CHO, -CH$_2$Br)
- Optically active 4. 2-Bromo-3-iodopropanal \(I-CH_2-CH(Br)-CHO\)
- Chiral center at C-2 (attached to -H, -Br, -CHO, -CH$_2$I)
- Optically active Conclusion:
Only 3-Bromopropanal lacks any chiral center and is therefore optically inactive.