Hey dear, there are many govt. Institutes that are better than private ones and some private institutions are far better than govt. Ones, it depends on what college are you going. Like, AIIMS is very good govt. College and there are many topnotch good institutions. Private institutions gives you so many facilities like good hostel, good cafeteria but with high fee. If you manage to go in some private college, you will have good atmosphere for sure. So, choose accordingly and plan wisely.