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The correct order in which the O-O bond length increases in the following is :-
A
$O_3 \lt H_2O_2 \lt O_2$
B
$O_2 \lt O_3 \lt H_2O_2$
C
$O_2 \lt H_2O_2 \lt O_3$
D
$H_2O_2 \lt O_2 \lt O_3$
Detailed Solution
Bond length decreases as the bond order increases.
$O_2$: O=O, a double bond (bond order 2); bond length about 121 pm.
$O_3$: resonance between two structures, each with one O=O and one O-O bond, so each O-O bond has bond order 1.5; bond length about 128 pm.
$H_2O_2$: H-O-O-H, a single O-O bond (bond order 1); bond length about 148 pm.
Increasing bond length: $O_2 \lt O_3 \lt H_2O_2$
$O_2$: O=O, a double bond (bond order 2); bond length about 121 pm.
$O_3$: resonance between two structures, each with one O=O and one O-O bond, so each O-O bond has bond order 1.5; bond length about 128 pm.
$H_2O_2$: H-O-O-H, a single O-O bond (bond order 1); bond length about 148 pm.
Increasing bond length: $O_2 \lt O_3 \lt H_2O_2$