Hi Alok!  Here is the list of government engineering Colleges that offers aerospace program

 Indian Institute of Aeronautical Engineering, Dehradun

• Punjab Engineering College, Chandigarh

• National Institute of Aeronautical Engineering, Dehradun

• Madras Institute of Technology, Chennai

• Institute of Aviation Technology, Punjab

• Hindustan College of Engineering, Chennai

• Indian Institute of Technology, Kanpur

• Indian Institute of Technology, Chennai

• Indian Institute of Technology, Roorkee

• Indian Institute of Technology, Delhi

• Indian Institute of Technology, Kharagpur

• Indian Institute of Technology, Mumbai

• Indian Institute of Technology, Guwahati