Hello Shrey.. Better institutes for a Law degree in India are:
-National Law School of India University
-University of Delhi
-Lovely Professional University
-Jamia Millia Islamia
-Aligarh Muslim University
You may get good exposure and academic experiences if you are pursuing your Law degree in these institutes. Scholarship opportunities are also there.
Surprised to know that after being a Science graduate, you wish to dstudy Law.
Technically, any graduate except Fine Arts graduate, is eligible for Law course of three years. Since you are a graduate, you can study LLB three year course. You will have to ensure that the college you choose is recognised by a University and Bar Council of India. If it is so, then you can go ahead for admission for LLB course.
You can appear for Law Entrance Tests based on your BSc. After you clear the Entrance, as per merit list, you will get the college. Three years full time LLB is what you have