What is the increasing order of reactivity of the following alkyl halides in the Williamson synthesis?
$I. \, CH_2 = CHCH_2Cl$
$II. \, CH_3CH_2CH_2Br$
$III. \, (CH_3)_3CCH_2Br$
$IV. \, CH_3CH_2CH_2Cl$

In which of the following reactions is the migration of an alkyl group from carbon to oxygen observed?

Match List-$I$ with List-$II$.

List-$I$ (Test)	List-$II$ (Observation)
$A$. $Br_2$ water test	$I$. Yellow orange or orange red precipitate formed
$B$. Ceric ammonium nitrate test	$II$. Reddish orange colour disappears
$C$. Ferric chloride test	$III$. Red colour appears
$D$. $2,4-DNP$ test	$IV$. Blue,Green,violet or Red colour appear

Choose the correct answer from the options given below:

Match the reactions in Column $(I)$ with the products formed in Column $(II)$.

Column $(I)$	Column $(II)$
$(A)$ Kolbe's reaction	$(i)$ Salicylaldehyde
$(B)$ Reimer-Tiemann reaction	$(ii)$ Ethers
$(C)$ Williamson synthesis	$(iii)$ Ethanol
$(D)$ Fermentation	$(iv)$ Salicylic acid

Identify $A$ in the following reaction.

Which of the following reactions will yield $2-propanol$? Select the correct answer from $a, b, c$ and $d$.
$I. \, CH_2 = CH - CH_3 + H_2O \xrightarrow{H^+} $
$II. \, CH_3 - CHO \xrightarrow[(ii) \, H_2O]{(i) \, CH_3MgI} $
$III. \, CH_2O \xrightarrow[(ii) \, H_2O]{(i) \, C_2H_5MgI} $
$IV. \, CH_2 = CH - CH_3 \xrightarrow{KMnO_4} $