government jobs available for B.E students are:

1. BSNL(bharat sanchar nigam limited)
2. ISRO(Indian space research organisation)
3. DRDO(Defense research and development organisation)
4. AAI(Airport authority of India)
5. SAIL(Steel authority of india)
6. RRB(Railway recruitment board)
7. UPSC(Union Public Service Commission )
8. CDS(Combined defense service)

Oh yes. Many PSUs advertise the jobs frequently. You have to check the employment news or other job sites. check this link. they do give good information and it is pretty much updated

https://www.indgovtjobs.in/2013/09/government-jobs-for-diploma-holders.html

Electrical Engineering is one of the core branches of engineering. Diploma holders can get work at firms manufacturing electrical goods and appliances (like fans, bulbs, refrigerators, AC, stabilizers etc). You may also find work at firms manufacturing other forms of machinery and components like- transformers, wires, motors, generators, circuits, microprocessors, microcontrollers etc.. With a proper btech degree, your scope in both private and government organisation increases. No doubt, Qualified electrical engineers are needed by such industries to take care of tasks like power transmission, power usage, power auditing, machine monitoring, machine maintenance etc. After you diploma, as mentioned, you have the above scope.

Good Luck.