Yes. Still more homogeneous and stable than most other empires...
I also mean like that time when the eventual demise of most empires and huge nations was my point, which China and India managed to avoid, and not China and India themselves (which are totally orthogonal to the point I was making, and in fact an exception to the rule I posited)
I believe you meant ethnicity, not race. Also as for the diversity, the two major ethnicities in India are Indio-Aryan and Dravidian, at 73% and 24% respectively, leaving the rest of the 'massive diversity' spread across 3% of the population. Same holds true for language. So I'd argue that the actual ethnic/language diversity in India is rather small in practice.
As for India, look up Pakistan.
Meanwhile, I've mentioned Pakistan already in another answer many hours ago...
Do you know how many different empires, rulers, internal wars and government systems China and India have gone through in 2000 years, and how many "races" and "cultures" they have?