Hi Shruti,

Government Colleges offering B.E/B.Tech in Naval Architecture in India are as follows:-

• Indian Institute of Technology Madras
• Indian Institute of Technology Kharagpur
• Andhra University College of Engineering, Visakhapatnam
• School of Engineering, Cochin University of Science and Technology, Ernakulam
• Andhra University, Visakhapatnam
• Academy of Maritime Education and Training, Kanathur
• Department of Ship Technology, Cochin University of Science and Technology, Ernakulam

Refer here for more info - https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india?branch=Naval%20Architecture&degree=B.E%20/B.Tech&ownership=Public/Government

Feel free to ask doubts in the Comment Section.

I hope this information helps you.

Good Luck!