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(B) Analysis of reactions:$P$: Reaction of $t$-butoxide $(t-BuO^-)$ with $t$-butyl bromide $(t-BuBr)$. Since $t-BuO^-$ is a strong base and $t-BuBr$ i

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$P$ $\rightarrow 1, 4; \quad Q$ $\rightarrow 2; \quad R$ $\rightarrow 4; S$ $\rightarrow 3$

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(B) Analysis of reactions:$P$: Reaction of $t$-butoxide $(t-BuO^-)$ with $t$-butyl bromide $(t-BuBr)$. Since $t-BuO^-$ is a strong base and $t-BuBr$ is a tertiary halide,elimination $(E2)$ is favored,yielding isobutylene $(4)$ and $t$-butanol $(1)$.$Q$: Reaction of $t$-butyl methyl ether with $HBr$. This is an acid-catalyzed cleavage of ether,yielding $t$-butyl bromide $(2)$ and methanol.$R$: Reaction of $t$-butyl bromide with $NaOMe$. Since $NaOMe$ is a strong base and $t-BuBr$ is a tertiary halide,elimination $(E2)$ is favored,yielding isobutylene $(4)$.$S$: Reaction of $t$-butoxide with methyl bromide $(MeBr)$. This is an $S_N2$ reaction,yielding $t$-butyl methyl ether $(3)$.Matching: $P$ $\rightarrow 1, 4; Q$ $\rightarrow 2; R$ $\rightarrow 4; S$ $\rightarrow 3$.

List-$I$ contains reactions and List-$II$ contains major products. Match each reaction in List-$I$ with one or more products in List-$II$ and choose the correct option.

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