Two vessels $\mathrm{X}$ and $\mathrm{Y}$ contain aqueous solutions of a weak acid $\mathrm{HA}$  and its salt $\mathrm{NaA}$, respectively. The following two equilibria $\mathrm{HA}+{\mathrm{H}}_2\mathrm{O}\rightleftharpoons {\mathrm{H}}_3{\mathrm{O}}^{+}+{\mathrm{A}}^{-}$and ${\mathrm{A}}^{-}+{\mathrm{H}}_2\mathrm{O}$ $\rightleftharpoons \mathrm{HA}+{\mathrm{OH}}^{-}$, exist in vessels $\mathrm{X}$ and $\mathrm{Y}$, respectively. At equilibrium (at a given temperature $\mathrm{T}$), the concentrations of $\mathrm{HA},{\mathrm{H}}_3{\mathrm{O}}^{+}$and ${\mathrm{A}}^{-}$in vessel $\mathrm{X}$ are ${\mathrm{C}}_1,{\mathrm{C}}_2$ and ${\mathrm{C}}_3$, respectively, while that of ${\mathrm{A}}^{-},\mathrm{HA}$ and ${\mathrm{OH}}^{-}$in vessel $\mathrm{Y}$, are ${\mathrm{C}}_4,{\mathrm{C}}_5$ and ${\mathrm{C}}_6$, respectively. Let the quantity $\left({\mathrm{C}}_2·{\mathrm{C}}_3·{\mathrm{C}}_5·{\mathrm{C}}_6\right)/\left({\mathrm{C}}_1·{\mathrm{C}}_4\right)$ be denoted by $\mathrm{Q}$. The correct plot $(\ln Q$ vs $1 / \mathrm{T})$ is

Given below are two statements: one is labelled as Assertion $\mathrm{A}$ and the other is labelled as Reason $\mathrm{R}$.

Assertion $\mathrm{A}$ :Phenolphthalein is a $\mathrm{pH}$ dependent indicator, remains colourless in acidic solution and gives pink colour in basic medium

Reason $\mathrm{R}$ : Phenolphthalein is a weak acid. It doesn't dissociate in basic medium.

In the light of the above statements, choose the most appropriate answer from the options given below

$0.01$ moles of a weak acid $\mathrm{HA} \left({\mathrm{K}}_{\mathrm{a}}=2.0\times {10}^{-6}\right)$ is dissolved in $1.0 \mathrm{L}$ of $0.1\mathrm{M} \mathrm{HCl}$ solution. The degree of dissociation of $\mathrm{HA}$ is __________ $\times {10}^{-5}$ (Round off to the Nearest Integer). [Neglect volume change on adding $\mathrm{HA}$ and assume degree of dissociation $<<1$]

The degree of dissociation of $0.1\mathrm{mol} {\mathrm{L}}^{-1}$acetic acid in water is

( $\mathrm{K}$ of acetic acid is ${10}^{-5}$ )