National Institute of Technology, Uttarakhand

Yes, you may get admission in NIT Uttarakhand with a 10328 ST rank in JEE Mains, but in the Special Round. The closing rank for the National Institute of Technology, Uttarakhand, in 2021 for most of the courses was under 10,000 for almost every branch of BTech.
Therefore, based on previous year's trends, you may have some chances to get admission in branches like electronics and communication engineering, civil engineering, and mechanical engineering in a special round. The accepted rank for admission in a special round for the BTech in Electronics and Communication Engineering branch was around one lakh.
However, you may not get admission during regular rounds.

I have completed 2 years in NIT Uttarakhand. So, I can give you a brief idea about life of an average student at National Institute of Technology Uttarakhand. You will get a tag of NITian and you can participate in inter NIT competitions (both Sports and Technical). The faculty is good but most of them are Assistant Professors. Currently, they don't have any Associate Professors or Professor, some recruitment have been made this year maybe some Associate Professors might join the Mechanical Department. Being a newly established NIT not much has been done yet in the field of Research and Development but students are doing quite well. "Kalam Lab" body specifically working on the development of innovative ideas into a reality. Govind Vajpayee student of NIT UK has recently won the Inter NIT innovation challenge. Placements are not as good as it should be. Considering lack of resources and remote location of college. We are doing quite well in Placements and graph is increasing every year. Major Core and IT companies visit us every year. If you are looking for a huge campus then my friend NIT UK is not for you because their temporary campus is in government. Poly. Srinagar and it ends before it starts. Still, they don't have the permanent land allotment.