I have a friend who is doing his B.Tech from Nirma University and have a better idea about the selection process and cut-off. Here is what he had to say.
According to him, with merit of above 2000, you will need to wait for the spot round, i.e. the end of the admission process. You would receive an email from the authorities in the college asking you to attend the counseling session they would organize for freshers.
Going by the recent trend of cutoff, you will probably get electronics, civils, chemical, or even instrumentation branches in the spot round. Getting into Chemical or other branches will be tough with this rank. It will be difficult to get Electronics with this course also, given the rising demand of the branch.