Anisole $\xrightarrow[\text{reflux}]{\text{excess } HI \text{ (conc.)}} \text{ Product}$

In the reaction shown below,the products are:

$A$ mixed ether $(P)$, when heated with excess of hot concentrated hydrogen iodide, produces two different alkyl iodides which when treated with aqueous $NaOH$ give compounds $(Q)$ and $(R)$. Both $(Q)$ and $(R)$ give a yellow precipitate with $NaOI$. Identify the mixed ether $(P)$:

Among the following ethers,which one will produce methyl alcohol on treatment with hot concentrated $HI$?

The major product of the following reaction is

Write equations of the following reactions:
$(i)$ Friedel-Crafts reaction - alkylation of anisole.
$(ii)$ Nitration of anisole.
$(iii)$ Bromination of anisole in ethanoic acid medium.
$(iv)$ Friedel-Craft's acetylation of anisole.