Answer:
In \[{{H}_{2}},\] first electron has
to be removed from \[\sigma (1s)\] which has lower energy (more stable) than
H-atom. In \[{{O}_{2}},\] first electron has to be removed from \[{{\pi
}^{*}}\,(2{{p}_{x}})\,or\,{{\pi }^{*}}\,(2{{p}_{y}})\] orbital which has higher
energy than 2 p-orbital of O-atom.
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