Hey,
Sorry to say but Indian Institute of Technology (IITs) don't offer any undergraduate program in the field of Psychology to students. The IITS only have phd program that can be pursued by the students.
So if you want to study psychology from IIT first you need to complete you undergraduate and master degree and them apply in IITs for Phd program.
Universities offering undergraduate Psychology courses are,
Banaras Hindu University
Delhi University
Jamia Milia Islamia
Hyderabad University
Patna University
Jawaharlal Nehru University,
Indraprastha University.
Hope that helps.
Thank you
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