Answer:
Correct option : "The mechanism results in a carbocation rearrangement in which a methyl shift occurs"
Explanation:
In the first step, 2,2-dimethyl-1-propanol gets protonated.
In the second step, a carbocationic intermediate is produced from removal of [tex]H_{2}O[/tex].
In the third step, shifting of methyl group occurs to produce more stable carbocationic intermediate.
In the fourth step, [tex]Br^{-}[/tex] attacks the stable carbocation to produce 2-bromo-2-methylbutane.
So, correct option : "The mechanism results in a carbocation rearrangement in which a methyl shift occurs"
Full reaction mechanism has been shown below.