Step 1: Understanding the Concept:
A molecule exhibits optical isomerism if it contains at least one chiral carbon atom (a carbon bonded to four different groups).
Step 2: Formula Application:
Analyze the substituents on the carbon holding the Iodine:
- (a) 3-Iodohexane: Attached to $H$, $I$, Ethyl, and Propyl (Chiral).
- (b) 2-Iodopentane: Attached to $H$, $I$, Methyl, and Propyl (Chiral).
Step 3: Explanation:
In 2-Iodo-2-methylbutane, the 2nd carbon is attached to:
1. Iodine ($-I$)
2. Ethyl group ($-C_2H_5$)
3. Methyl group ($-CH_3$)
4. Another Methyl group ($-CH_3$)
Since two groups are identical (methyl), the carbon is achiral.
Step 4: Final Answer:
2-Iodo-2-methylbutane does not exhibit optical isomerism.