(c)
From the aqueous buffered solution of $HA$, 50% HA is ionised
[$HA$]$= \lbrack A^{-}\rbrack$
Buffer solution of weak acid $HA \longrightarrow$ acidic buffer
$pH = pK_{a} + \log\frac{\lbrack A^{+}\rbrack}{\lbrack HA\rbrack}$
or $pH = pK_{a} = 4.5$
$pOH = pK_{w} - pH$
$pOH = 14 - 4.5 = 9.5$