(c)
1, 4-dihydroxy benzene shows the highest boiling point among given compounds because it forms strong intermolecular hydrogen bonds (It does not form intermolecular H-bonding.)
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Order of H-bonding in $o$, $m$ and $p$-isomers of a compound is given below
Intermolecular H-bonding, $o < m < p$-isomers
intermolecular H-bonding
$o > m > p$ isomers.
Hydroxy benzene do not form a chain of H-bonding . Hence, intermolecular H-bond is stronger than intermolecular H-bonds, so the stability of 1, 4-dihydroxy benzene is highest. Hence its boiling point is highest. The increasing order of the boiling points of the given compound is
$IV < I < II < III$