Step 1: Concept
Bond length is inversely proportional to bond order (number of bonds between atoms).
Step 2: Analysis
- $N_{2}$: Triple bond (Bond Order = 3).
- $O_{2}$: Double bond (Bond Order = 2).
- $Cl_{2}$: Single bond (Bond Order = 1).
Step 3: Comparison
Higher bond order leads to shorter bond length. Also, $Cl$ has a larger atomic radius than $N$ or $O$.
Step 4: Conclusion
Decreasing order of bond length: $Cl_{2} (Single) > O_{2} (Double) > N_{2} (Triple)$.
Final Answer: (A)