Concept:
Bond length depends mainly upon the size of the bonded atoms.
As atomic radius increases, bond length also increases.
The halogen atomic radii follow the order:
\[
F < Cl < Br < I
\]
Therefore, the carbon-halogen bond length increases as the size of halogen increases.
Step 1: Compare the sizes of halogens.
The atomic sizes are:
\[
F < Cl < Br < I
\]
Iodine is the largest halogen while fluorine is the smallest.
Step 2: Relate size to bond length.
Larger halogen atoms form longer bonds with carbon.
Hence:
\[
C-I > C-Br > C-Cl > C-F
\]
Step 3: Write the decreasing order.
Thus,
\[
CH_3I > CH_3Br > CH_3Cl > CH_3F
\]
Therefore the correct option is
\[
\boxed{(a)}
\]