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In the first step, the alkene reacts with bromine in the presence of methanol.
$$\mathrm{Br_2/CH_3OH}$$
The $$\mathrm{\pi}$$ electrons of the double bond attack $$\mathrm{Br_2}$$ to form a cyclic bromonium ion intermediate.
Since methanol is present in excess, it acts as the nucleophile instead of $$\mathrm{Br^-}$$.
Methanol attacks the more substituted carbon because it carries greater partial positive character.
After deprotonation, intermediate $$\mathrm{A}$$ is formed.
$$\mathrm{Alkene \xrightarrow{Br_2/CH_3OH} Bromomethoxy\ Compound\ (A)}$$
Intermediate $$\mathrm{A}$$ contains:
1. A methoxy group $$\mathrm{(-OCH_3)}$$ on the tertiary carbon
2. A bromine atom on the adjacent secondary carbon
In the second step, compound $$\mathrm{A}$$ reacts with hydroiodic acid.
$$\mathrm{HI}$$ protonates the ether oxygen, converting it into a good leaving group.
$$\mathrm{R-OCH_3 + H^+ \longrightarrow R-O^+HCH_3}$$
Since the oxygen is attached to a tertiary carbon, cleavage occurs through an $$\mathrm{S_N1}$$ mechanism.
Methanol leaves, generating a stable tertiary carbocation.
$$\mathrm{R-O^+HCH_3 \longrightarrow R^+ + CH_3OH}$$
The iodide ion then attacks the tertiary carbocation.
$$\mathrm{R^+ + I^- \longrightarrow R-I}$$
The bromine atom on the neighbouring carbon remains unchanged throughout the reaction.
Thus, in the final product $$\mathrm{B}$$:
1. The bromine atom remains on the secondary carbon
2. The methoxy group is replaced by iodine
Therefore, the correct structure is:
$$\boxed{\mathrm{Option\ containing\ Br\ and\ I\ on\ adjacent\ carbons}}$$
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