Hello student I'm sorry to inform you but as per source there's no course of political science in iits.
Eligibility for iit The candidates will have to satisfy at least one of the following two criteria for admission toIITs: The candidate should have passed 10+2 or equivalent examination with an aggregate of at least 75% marks. For SC/ ST and PwD candidates, there is a relaxation of 10% as they need the aggregate of minimum 65% marks.

Feel free to  comment if you have any doubt
Good luck

Hello
Some IITs have a department of humanities and political science. They offer courses in BA and MA. So you can do UG and PG in political science from IITs. For instance, IIT Delhi and IIT Madras both have a department of humanities and political science.

Hope it helps

Hello aspirant,
I am here for helping you....
as per your doubt I want to clarify you that IIT's are popular for science related course including engineering courses and msc courses, PHD courses etc. so, here you are unlucky  because there is not any specific course related to political science in IIT apart from this you can check the list of courses and you can know more about it by going on the link which I am providing below:
https://www.careers360.com/university/indian-institute-of-technology-bombay
I hope it will be beneficial for you...
for more queries you can upvote my answer and can ask in the comments section below...
Best of luck....