Reaction of $(R)-2$-butanol with $p$-toluenesulphonyl chloride in pyridine followed by reaction with $LiBr$ gives

  • A
    $(R)-2$-butyl bromide
  • B
    $(S)-2$-butyl tosylate
  • C
    $(R)-2$-butyl tosylate
  • D
    $(S)-2$-butyl bromide

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When $3-$methylbutan$-2-$ol is treated with $HBr$,the following reaction takes place:
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Give a mechanism for this reaction.
(Hint : The secondary carbocation formed in step $II$ rearranges to a more stable tertiary carbocation by a hydride ion shift from $3^{rd}$ carbon atom.)

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The product $(Y)$ is:

Which of the following alkyl halides is hydrolyzed most rapidly by the $S_N2$ mechanism?

What is $A$ in the following reaction?
$3\text{-iodobenzyl chloride} \xrightarrow{NaCN, DMF} A$

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