The correct order of increasing bond length of $\text{C}-\text{H}$, $\text{C}-\text{O}$, $\text{C}-\text{C}$ and $\text{C}=\text{C}$ is:

Bond length depends on atom size and bond order:$\text{C}-\text{H}$: Smallest due to hydrogen's small size ($\approx 1.09\text{A˚}$).$\text{C}=\text{C}$: Double bond is shorter than single bond ($\approx 1.34\text{A˚}$).$\text{C}-\text{O}$: Single bond, atoms slightly larger than H ($\approx 1.43\text{A˚}$).$\text{C}-\text{C}$: Single bond between large atoms ($\approx 1.54\text{A˚}$).Increasing order: $\text{C}-\text{H}<\text{C}=\text{C}<\text{C}-\text{O}<\text{C}-\text{C}$.