Considering the Placement Aspect, with a Rank of 11800, assuming youre from General Category, ypur best option would be BTech Metallurgical at IIT Bhubaneshwar or Dual Degree Metallugical/Material Science at IIT BHU if you get at your Rank. Youll probably have better oppotunities at IIT BHU or Bhubaneshwar or even if its Mining or Environmental at IIT ISM. You even have a strong chances of changing your Branch to a better stream post First Year. Incase youre targetting PSU Jobs or Government Engineering Jobs, only in that case IIT Jammu Mechanical might be a good Option, though youll loose out on Campus Opportunities as well as a strong and diverse experience.

For more information and JEE Advanced College Prediction do follow the link below

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer