Explain why inspite of nearly the same electronegativity , oxygen forms hydrogen bonding while chloride does not

Question

$\begin{array}{1 1} \text{(a) Because electron density per unit volume on oxygen atom is lesser than that on chlorine atom .}\\ \text{(b) Because electron density per unit volume on oxygen atom is equal to that on chlorine atom .} \\ \text{(c) Because electron density per unit volume on oxygen atom is much higher than that on chlorine atom .} \\(d)\;\text{None of these} \end{array} $