hello srobona ghosh!!
with 96000 rank in jee main s2019,you would be getting the following government state colleges or universities :

Deenbandhu Chhotu Ram University of science and technology , murthal district sonepat

Chemical Engineering

Deenbandhu Chhotu Ram University of science and technology , murthal district sonepat

Civil Engineering

Institute of Chemical Technology, Matunga, Mumbai

Dyestuff Technology

University Institute of Technology RGPV, Bhopal (1986)

Electronics & Communication Engineering

University Institute of Technology RGPV, Bhopal (1986)

Electronics Engineering

and many more..

I m providing you a link for  knowing colleges in which you can get a seat for your rank  in JEE MAINS  and category,please see the following link :

https://engineering.careers360.com/jee-main-college-predictor

Https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor

All the best

Thank you