Step 1: Condition for emission
In hydrogen atom, emission of radiation occurs when an electron transitions from a higher energy level to a lower energy level.
Step 2: Identify correct transition
A transition involving \( n = 6 \to n = 5 \) is a downward transition, hence it produces emission.
Step 3: Identify the series
Lyman series corresponds to transitions ending at \( n = 1 \), Balmer series ends at \( n = 2 \), and Paschen series ends at \( n = 3 \).
Since the transition is between higher levels and does not end at \( n = 1 \), it does not belong to the Lyman series.
Final Conclusion:
Thus, the given transition does not belong to the Lyman series.