Electrical and Electronics Engineering

Placements of EEE at NIT Nagpur are very good. In fact, if you are very good at coding, you can sit for placements along with CSE people for the companies that come to hire them. However, the curriculum is very strenuous and for a good pointer, you'll have to study really hard. But all that will be worth in the long run.
All the best!

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Go to the college predictor link I am sharing here to know about the colleges you can get.
Good luck.

Hi Kunal,
Both the colleges are equally good and rank among the top engineering institutions of India. However, the kind of flexibility in education, zero attendance policy and campus life that BITS offers is simply unmatchable. Other than that, academics, placements and infrastructure are at par for both the institutes. The fee of NITT is much lesser than BITS. So, choose wisely as per your preference and constraints.
Best wishes.

You can go to join via lateral entry. It will be the right choice for your career.
Good luck.

The engineering entrance exam for getting into any branch of engineering in VIT university is the same. It is VITEEE. So there is no separate entrance exam for EEE admission in VIT University. This year, VITEEE is already conducted.

Well, both the branches have their unique importance and are also correlated with each other. It depends on you whether you like designing or field work. Electronics majorly is device oriented study while electrical is all about setup of the devices. Well there is pool of government job in both the branches and you can avail in private sector also. ECE people are great for CS, IT branch work. If you have knowledge or interest about computers than ECE can unlock more opportunities for you while electrical will give you more exposure of site work.

Yes, you are eligible to join IIT but for that, you have to appear for B.Tech lateral entry exam and in that, you have to do really good to get an IIT.

I cannot provide the exact details of the ranks but you have to get between 1300 to 3500 to get electrical and electronics in NIT-Trichy.