Step 1: Understanding the Concept: 
This is a general knowledge question asking for the specific date on which World Mental Health Day is observed globally. 
Step 2: Detailed Explanation: 
World Mental Health Day is an international day for global mental health education, awareness, and advocacy against social stigma. It is observed annually on the 10th of October. The day was first celebrated in 1992 at the initiative of the World Federation for Mental Health. 
Step 3: Final Answer: 
The correct date for the celebration of World Mental Health Day is 10th October.