Answer:
The major organic product is 2,2-dibromoheptane
Explanation:
At first, 1-heptyne is protonated by 1-equivalent HBr and produces a stable [tex]2^{o}[/tex] carbocation followed by nucleophilic attack by bromide ion.
Then another equivalent of HBr adds on double bond to produce another [tex]2^{o}[/tex] carbocation which is highly stable due to electron donating resonating effect of Br atom (+R effect). Thus a consequent nucleophilic attack onto that carbocation leads to formation of 2,2-dibromoheptane as a major product.
Detailed mechanism has been attached below.