Explanation
Rules for Naming Hydrocarbons:-
Rule-I Selection of the longest carbon chain.
Rule-II Numbering the longest chain: Longest chain is numbered starting from a terminal carbon. Numbering is done is such a way that lowest possible number is given to the side chain or a functional group.
Rule-III Writing names of branched, saturated hydrocarbons, locants are written first in alphabetical order followed by name of parent chain.
Rule-IV Some common names are retained in $$IUPAC$$ system for unsubstituted hydrocarbon only.
(Refer to Image 1)
As according to alphabetical order $$-Br$$ having carbon will be given $$1$$ number. So,
(Refer to Image 2)
Ring is $$5$$ membered.
So, $$1-Bromo-2-chlorocyclopenta-2,4-diene$$
As $$-OH$$ should be given preference so,
numbering will start from right hand side to give less numbering to $$C$$ of $$-OH$$.
Longest chain is $$5$$ membered.
So, naming is $$2-hydroxy-3,3-dimethyl-pentane$$.
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