Which of the following compounds is obtained when $t$-butyl bromide is treated with alcoholic ammonia?

The major product of the following reaction is:

The main product of the following reaction will be:

Given below are two statements:
Statement $I$: $(Et)_2N-CH_2CH_2Cl$ will undergo alkaline hydrolysis at a faster rate than $(Et)_2CH-CH_2CH_2Cl$.
Statement $II$: Intramolecular substitution takes place first by involving the lone pair of electrons on nitrogen.
In the light of the above statements,choose the most appropriate answer from the options given below:

In the following reactions,
$(i) CH_3-CH(CH_3)-CH(OH)-CH_3 \xrightarrow{H^{+}/\text{heat}} A \text{ [Major product]} + B \text{ [Minor product]}$
$(ii) A$ $\xrightarrow[\text{in absence of peroxide}]{HBr, \text{dark}} C \text{ [Major product]} + D \text{ [Minor product]}$
the major products $(A)$ and $(C)$ are respectively:

Which alkyl halide has maximum density?