Hii Sakshi,

Coming to your answer see if you are not the branch specific and you want a good nit tag then I would personally recommend you to go for the nit Trichy production branch . As nit Trichy is one of the topmost college among the nit and it is ranked no 1 and getting a production also in it is not easy.

While if you are branch specific then o would like to recommend you to go for vnit Nagpur for the chemical engineering in it than at last the metallurgy in the nit surathkal, but in my opinion you should go for the nit Trichy as it is a very good college and has top rank among all nit ,then for vnit Nagpur and then for the nit surathkal.

Hope this helps you , feel free to ask if you had any doubt regarding this,

Good luck