Which of the following compounds has no reaction with sodium metal?

Identify $A$ and $B$ in the following reaction: $C_6H_5CH_2-O-C_6H_5 + HI \rightarrow A + B$

Write the reaction steps for the following conversions:
$1.$ Propene to Propanal
$2.$ Ethanol to tert-Butyl ethyl ether

The compound which does not react with sodium is

$A$ 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 $(P)$:

$\underset{(A)}{C_5H_{10}O} \xrightarrow{H_3O^{\oplus}} B + C$; $(B)$ and $(C)$ both give positive iodoform test. Compound $(A)$ is