I want to do B.Tech but I want to keep a safe distance from physics. Which branch should I choose?

You only have to study physics in 1 semester in B.Tech if you are pursuing in computer science and engineering, electronics and communication engineering, electrical engineering, mechanical engineering etc. If you are pursuing aeronautical you have to focus more on physics.

As for the first year you got to study physics as it will be common for all. 2nd year onwards physics will be divided into different branches. All the top branches do include some part of physics. I think CS branch includes the least of physics. Chemical and biotechnology have no physics from 2nd ye