In the given reaction,the products are:

Consider the following statements:
$(1)$ Bridgehead halides are inert towards both $S_{N^1}$ and $S_{N^2}$ reactions (until one of the ring size is an eight-membered ring).
$(2)$ The first step in both $S_{N^1}$ and $E_1$ reactions is the same.
$(3)$ $S_{N^2}$ reactions proceed with total retention of configuration.
$(4)$ $E_2$ eliminations are favored by the use of a solvent of low polarity and a high concentration of a strong base.
Which of the above statements are correct?

Give the chemical reactions for the following conversions:
$(1)$ $m$-nitrobenzoic acid from toluene
$(2)$ $m$-chloronitrobenzene from benzene
$(3)$ $n$-propyl bromide from $1, 2$-dibromopropane

Identify the correct order of reactivity for the following pairs towards the respective mechanism:
$(A)$ $S_{N}2$: Isobutyl bromide > tert-Butyl bromide
$(B)$ $S_{N}1$: Benzyl bromide > $2-$Phenylethyl bromide
$(C)$ Electrophilic substitution: Chlorobenzene > $1-$Chloro$-4-$nitrobenzene
$(D)$ Nucleophilic substitution: Bromobenzene < $1-$Bromo$-4-$nitrobenzene
Choose the correct answer from the options given below:

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

Column-$(I)$ (Reactants)	Column-$(II)$ (Major Products)
$(A)$ $C_6H_5CH_3 + X_2 \xrightarrow{Fe, \text{dark}}$	$(i)$ $C_6H_5CH(Br)CH_3$
$(B)$ $C_6H_5NH_2 \xrightarrow{NaNO_2, HX, 273-278 \ K}$	$(ii)$ $C_6H_5N_2^+X^-$
$(C)$ $C_6H_5N_2^+X^- \xrightarrow{Cu_2X_2}$	$(iii)$ $p-X-C_6H_4CH_3 + o-X-C_6H_4CH_3$
$(D)$ $C_6H_5CH_2CH_3 \xrightarrow{Br_2, \Delta \text{ or } UV \text{ light}}$	$(iv)$ $C_6H_5X$

Match the following lists:

List-$I$	List-$II$
$(A)$ Benzene	$1$. Phosgene
$(B)$ Ethylene	$2$. Silver mirror
$(C)$ Acetaldehyde	$3$. Mustard gas
$(D)$ Chloroform	$4$. $(4n + 2) \pi$ electrons
	$5$. Carbylamine