here I am giving you information about government job scopes after passing B tech Electronics & communication Engineering below :

List of PSU companies for jobs :
Bharat Sanchar Nigam Limited
Bharat Electronics Limited
Bharat Electricals Limited
Oil and Natural Gas Corporation Ltd
Steel Authority of India Limited
Mahanagar Telephone Nigam Limited
Indian Space Research Organisation
Indian Oil Corporation
HAL

Government exams for jobs:
BANK PO
BANK CLERK JOBS
IAS ,
IPS ,
IES ,
NDA
PSC EXAM
SSC EXAM
DEFENSE SECTOR
BSNL JTO ,
BSNL TTA
MTNL
ISRO
DRDO
BARC
IGDR
ELECTRICITY BOARD OF INDIA
IOCL
SAIL
Steel Authority of Indian Limited (SAIL)
Power Sector
Bharat Electronics Limited
Indian Railways
Indus tan Aeronautics Limited (ISRO)
Software Industries

You can apply for jobs in following government organizations :
Indian Engineering Services
All India Radio
Public Sector Undertakings
Indian Space Research Organization (ISRO)
DRDO
NTPC
Defence
Railways
Airport Authority of India
Post and Telegraph

Job types :
Service Engineer
Software Analyst
Technical Director
Field Test Engineer
Senior Sales Manager
Network Planning Engineer
Customer Support Engineer
Electronics and Communications Consultant
Research & Development Software Engineer
Indian Telecom Sector
BSNL
Post and Telegraph Department
Defense
All India Radio
Civil Aviation Department
National Physical Laboratory
Bharat Electronics Limited
Oil and Natural Gas Corporation Ltd (ONGC)
Bharath Electricals limited
Steel Authority of India Limited
Banking Sector
Air force etc