Hello Manoj!

Your provided details don't fit together. Let me tell you that with JEE ADVANCED ranks you can only get seat in IITs and IISTs. For NITs you must have a good rank in JEE MAINS.

If I assume that your mentioned rank is of JEE MAINS then also it isn't possible to get Metallurgical in NIT TRICHY. If CSAB rounds are conducted then it may become possible but as of now it seems impossible.

If you want to get a clear idea of what college you may get then you must check out the college predictor.

https://engineering.careers360.com/jee-main-college-predictor

All the best!