Reaction of trans-$2-$phenyl$-1-$bromocyclopentane with alcoholic $KOH$ produces:

For the following reactions:
$CH_{3}CH_{2}CH_{2}Br + Z^{-} \xrightarrow[substitution]{k_s} CH_{3}CH_{2}CH_{2}Z + Br^{-}$
$CH_{3}CH_{2}CH_{2}Br + Z^{-} \xrightarrow[elimination]{k_e} CH_{3}CH=CH_{2} + HZ + Br^{-}$
where
$Z^{-} = CH_{3}CH_{2}O^{-} (A)$ or $(CH_{3})_{3}CO^{-} (B)$
$k_s$ and $k_e$ are,respectively,the rate constants for the substitution and elimination,and $\mu = \frac{k_s}{k_e}$,the correct option is:

Which among the following will undergo hydrolysis rapidly$:-$

In the reaction $2CHCl_3 + O_2 \xrightarrow{X} 2COCl_2 + 2HCl$,$X$ represents:

Choose the false statement from the following about $S_N1$ reaction mechanism.

Elimination of bromine from $2-$bromobutane results in the formation of