Match the following:

Polymer	Type
$A$. Bakelite	$P$. Homo polymer
$B$. Nylon-$6$	$Q$. Condensation polymer
$C$. Terylene	$R$. Polyester
$D$. $PHBV$	$S$. Copolymer

Match materials given in Column-$I$ with the polymers given in Column-$II$.

Column-$I$	Column-$II$
$A$. Natural rubber latex	$i$. Nylon
$B$. Wood laminates	$ii$. Neoprene
$C$. Ropes and fibres	$iii$. Dacron
$D$. Polyester fabric	$iv$. Melamine formaldehyde resins
$E$. Synthetic rubber	$v$. Urea-formaldehyde resins
$F$. Unbreakable crockery	$vi$. cis-polyisoprene

Which of the following statement$(s)$ is/are incorrect?
$(a)$ $PHBV$ and $Nylon-2-nylon-6$ are biodegradable polymers.
$(b)$ Bakelite is a polymer of urea and formaldehyde.
$(c)$ Novolac is a linear product of phenol and formaldehyde and is used in paints.
$(d)$ Terylene and $Nylon-6,6$ are examples of thermoplastic polymers.
$(e)$ Teflon is an addition polymer.

Match List-$I$ with List-$II$.

List-$I$	List-$II$
$A$. Weak intermolecular forces of attraction	$I$. Hexamethylenediamine $+$ adipic acid
$B$. Hydrogen bonding	$II$. $AlEt_3 + TiCl_4$
$C$. Heavily branched polymer	$III$. $2-$chloro$-1,3-$butadiene
$D$. High density polymer	$IV$. Phenol $+$ formaldehyde

Choose the correct answer from the options given below:

Which of the following statements is correct for a spontaneous polymerization reaction?

An organic compound $P$ with molecular formula $C_{9}H_{18}O_{2}$ decolorizes bromine water and also shows a positive iodoform test. $P$ on ozonolysis followed by treatment with $H_{2}O_{2}$ gives $Q$ and $R$. While compound $Q$ shows a positive iodoform test,compound $R$ does not. $Q$ and $R$ on oxidation with pyridinium chlorochromate $(PCC)$ followed by heating give $S$ and $T$,respectively. Both $S$ and $T$ show a positive iodoform test.
Complete copolymerization of $500$ moles of $Q$ and $500$ moles of $R$ gives one mole of a single acyclic copolymer $U$.
[Given,atomic mass: $H=1, C=12, O=16$ ]
$(1)$ Sum of the number of oxygen atoms in $S$ and $T$ is. . . . . .
$(2)$ The molecular weight of $U$ is
Give the answer for questions $(1)$ and $(2)$.