If you are completely sure that you would like to study physics, you should avoid going with Engineering Physics. Rather, think of doing a BS+MS from IIT Madras. I have a few friends from IIT Madras and they were able to give some insight into the program. Let me list down the pros and cons of the course.
Pros:
Cons:
In conclusion, you should not go for EP if you are planning to do physics. It will be more focused on engineering subjects and not pure physics. You can also think of going to IIT K if you want to do your master’s abroad. So, choose according to your convenience.