${\mathrm{O}}_2{\mathrm{F}}_2$ is an unstable yellow orange solid and ${\mathrm{H}}_2{\mathrm{O}}_2$ is a colourless liquid, both have $\mathrm{O}-\mathrm{O}\text{ bond. }\mathrm{O}-\mathrm{O}$ bond length in ${\mathrm{H}}_2{\mathrm{O}}_2$ and ${\mathrm{O}}_2{\mathrm{F}}_2$ is respectively.

$\mathrm{O}-\mathrm{O}$ bond in ${\mathrm{O}}_2{\mathrm{F}}_2$ has partial double bond character, due to reverse hyperconjugation (resonance).

So, the correct answer is $1.48\text{Å},1.22\text{Å}$.
Hence, the correct answer is B.