Answer
The IUPAC name of the alkyne is $4,4-dibromopent-2-yne$
Work Step by Step
The compound has 5 carbon atoms in its longest carbon chain containing the triple bond(pent−). It has 2 $bromo$− substituents at position 4, and a triple bond at position 2. So, the IUPAC name of the alkyne is $4,4-dibromopent-2-yne$
