The reagents required for the following two-step transformation are:

  • A
    $(i) \ HBr, \text{benzoyl peroxide}; (ii) \ CH_3CN$
  • B
    $(i) \ HBr; (ii) \ NaCN$
  • C
    $(i) \ Br_2; (ii) \ NaCN$
  • D
    $(i) \ NaBr; (ii) \ NaCN$

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The mechanism of $S_{N}1$ reaction is given as:
$R-X$ $\rightarrow R^{\oplus} X^{\ominus}$ $\rightarrow R^{\oplus} | X^{\ominus}$ $\xrightarrow{Y^{\ominus}} R-Y + X^{\ominus}$
(Ion pair) (Solvent separated ion pair)
$A$ student writes general characteristics based on the given mechanism as:
$(a)$ The reaction is favoured by weak nucleophiles
$(b)$ $R^{\oplus}$ would be easily formed if the substituents are bulky
$(c)$ The reaction is accompanied by racemization
$(d)$ The reaction is favoured by non-polar solvents.
Which observations are correct?

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