(a)
$C\ - \ C\$ bond length$= 1.54\ \mathring{\mathrm{A}}$
$C = \ C\$bond length$= 1.34\ \mathring{\mathrm{A}}$
$C\ \equiv \ C\$bond length$= 1.20{^\circ}\ \mathring{\mathrm{A}}$
Thus, correct decreasing order C to C bond lengths is
$IV > III > I > II$