Jamia Millia Islamia

HiBSc in psychology would be a good option of you want to pursue a career being a psychiatrist or a lecturer by going for higher education in the same field.This course should be pursued from a college which give the right impetus for you to move on to the field of research which a real enterprising one especially for psychology.
The different colleges have different criteria for admitting their students.Some colleges take an entrance exam whereas there are others which consider your XIIth marks for eligibility and the test is just for a scholarship.
So first of all you need to check the website of the college where you want to take admission. As you have asked for Jamia Milia Islamia a good institution for BA Psychology. Just check from their web site where the exact date would be mentioned.
As it is alife time decision,get the best. Also browse some more sites like SRM, LPU etc to check the academic offers in terms of good faculty, placements etc.
Hope my answer will be a help!!