Yes, You are eligible to do psychology after completing B.Sc from a recognized university .

To know more about top universities offering MA in psychology check the following page,

"Top MA in Psychology Universities in India 2021 – Courses, Fees, Admission, Rank" https://university.careers360.com/colleges/list-of-ma-in-psychology-universities-in-india

To know more about MA psychology,  career opportunities, Fees, eligibility and many more related information check the following,

"MA Psychology Course, Subjects, Colleges, Syllabus, Scope, Fees, Eligibility" https://www.careers360.com/courses/ma-in-psychology/amp

Hope this helps you.