Step 1: Optical isomerism requires a chiral carbon atom (attached to four different groups).
Step 2:
\beginitemize
• 2,3-Dimethylpentane — has plane of symmetry ⟹ achiral
• 2,2-Dimethylbutane — highly symmetrical ⟹ achiral
• 3-Methylhexane — carbon at position 3 is attached to four different groups ⟹ chiral
\enditemize
Step 3: Hence, only 3-Methylhexane shows optical isomerism.