NIT Trichy - National Institute of Technology

Dear Pravin, I am assuming this to be your JEE rank. Check the link below to know the colleges you can get with this rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
In case, you don't get your desired college, don't settle for something mediocre. Instead of settling down for some mediocre college, it would be better if you try for some good private university. Many reputed private universities are offering B.Tech chemical engineering. They have different criteria for admissions. Some offer admission on the basis of JEE scores, some offer admission on basis of their own tests and some offer admission on the basis of both. Some even offer direct admission on basis of class 12th marks. Some of the universities also offer scholarships on basis of your performance in class 12th or JEE or even during the course. You can check the details of any of the reputed universities like VIT, Lovely, SRM, etc. All these universities have wonderful infrastructure and world-class facilities to offer to students apart from good placements. Good luck.

Old 5 IITs > NIT TRICHY > New IITs.
If you get at any of these 5 IITs then that should be your 1st preference:
BOMBAY
DELHI
MADRAS
KANPUR
KHARAGPUR
If you dont get in the above then join NIT TRICHY.
Let kme tell you that NIT TRICHY is better than all the new IITs.
So, I would recommend you to think on similar lines and decide as to what combination might work out the best for you. One thing I would strongly advise is not to make decisions based on emotions or attachments related to an institute, parents (with reference to staying near them) or friends. I know a few people who chose IIT just for the sake of being in IIT with no regards to the branch, when they had the option of getting a much better one at a lesser institute and they definitely regretted making that choice.
I would be glad to offer any insights about NITT in general and EEE, in particular if you ever feel the need.

I believe the credibility of the above statement depends on how you judge the NITs. If your judgement is purely based on placements and packages, then I can assure with no doubt that NIT-Trichy is not just the best among all NITs but also better than a few IITs. However, if you also take into account student facilities, mess food, internet access and faculty profiles, then I myself doubt it.
2. Students have a greater role to play here than any other college.
It's true, students of NIT Trichy are not just mere college-going children, but they are involved in extra and co-curricular works, projects and clubs of far greater significance. While the computing clubs like Delta Force are the sole incharge of the college website & LAN, the entrepreneurship club ECELL have made their presence felt across the globe with their flagship annual event Ventura. Besides these, there are leisure clubs like Karate, Photography, Movie Making, Dance Troupe, Music Troupe, etc. Other technical clubs include GLUG-T (Linux & FOSS) and Sun Club (JAVA & Open Source Apps).
3. An abundant number of events for the students to keep them busy for the entire year.
NIT Trichy can boast of a huge number of quality student events that take place annually. It ranges widely from the fresher parties organized by the student clubs to various kinds of campus games and contests, along with the academic classes on Java, Linux, MATLab, C+, web, etc., by the technical clubs. Moreover, the college's main events like Pragyan, Festember and NITT Fest are entirely managed by the students with literally no intervention from the authorities.
4. The prestigious Bachelor of Survival degree (B.Surv).
Every student of NIT Trichy not only gets a B.Tech degree but also a B.Surv degree (though he doesn't get a certificate for that). By survival in NIT Trichy, I mean surviving the extremities the authorities push the students into. With exams next morning and power being cut-off from your hostels, with the horrible quality of mess food, with drinking water problems and just 10 kbps internet access, if you're still able to complete your B.Tech in 4 years, then you truly are worthy of a B.Surv.
5. NIT Trichy is a haven for Computer Science and VLSI students.
As far as VLSI is concerned, NITTrichy is considered as the best in the country. The faculty of the ECE Department are especially dedicated towards VLSI and have a number of modern laboratories for that purpose. OCTAGON, the largest computing centre.