Write the equations for the reaction of hydrogen iodide with:
$(i)$ $1-propoxypropane$
$(ii)$ $methoxybenzene$
$(iii)$ $benzyl \ ethyl \ ether$

Illustrate with examples the limitations of Williamson synthesis for the preparation of certain types of ethers.

What are the major products from the following reaction?
$C_6H_5-O-CH_2-C_6H_5 + HI \xrightarrow{\text{heat}} ?$
$(I) C_6H_5I + C_6H_5CH_2OH$
$(II) C_6H_5OH + C_6H_5CH_2I$
$(III) C_6H_5OCH_2OH + C_6H_5I$
$(IV) C_6H_5OCH_2I + C_6H_5OH$

The reagent used for the preparation of higher ether from halogenated ethers is

Consider the following reaction.
$C_6H_5-O-CH_2-C_6H_5 + HI \rightarrow \text{Product}$
Statement $I$ : In the above reaction, the product formed will be a mixture of benzyl alcohol and iodobenzene.
Statement $II$ : In the above reaction, the $-O-CH_2-$ bond is cleaved to give the product.
In the light of the above statements, choose the correct answer from the options given below:

Which of the following is a suitable method for the preparation of ether via the $Williamson$ synthesis?