As you want to get the details of career or scope for ECE student after B.Tech in Electronics and Communication Engineering so here is the information of the same for you:

Other few sectors where B.Tech Electronics and Communication graduates can find jobs are:

Telecommunication
Software Engineering/IT
Power sector
Hardware Manufacturing
Home Appliance and VLSI design, etc

Government Career after B.Tech in ECE:
There are many areas in which B.Tech in EC candidates can look for job. They can enter into fields like

Civil services
Defense services
Indian Railways
Aviation industry and many more