Consider the following alcohol:

Identify tertiary carbon:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(_bC\)
A carbon atom is called primary, secondary, tertiary or quaternary according to the number of other carbon atoms bonded to it: one, two, three or four. Counting the carbon neighbours of each labelled carbon in the structure:
Ca (\( \ce{CH3} \)) — bonded to one carbon (Cb) ⇒ primary
Cb (CH) — bonded to two Ca methyl carbons and to Cc, i.e. three carbons ⇒ tertiary
Cc — bonded to Cb, Ce and two Cd carbons, i.e. four carbons ⇒ quaternary
Ce (\( \ce{CH2} \)) — bonded to Cc and Cf ⇒ secondary
The only tertiary carbon is Cb.
Why the other options are incorrect
Option (1) \(_aC\) — Incorrect. A methyl carbon bonded to one carbon only, so it is primary.
Option (2) \(_eC\) — Incorrect. The \( \ce{CH2} \) carbon is bonded to two carbons, so it is secondary.
Option (4) \(_cC\) — Incorrect. It carries no hydrogen and is bonded to four carbons, so it is quaternary, not tertiary.