Colleges in Thiruvananthapuram

Yes, Like most the government university, an entrance test is needed/mandatory to get admission into the Master's in Physics Programme colleges under the University of Kerala. The entrance exam is the only option needed to take admission. There is no other way. See and Check the important dates of the entrance exam.

There are 2 ways to get admission in an M.Sc. Integrated course, either merit based or entrance exam based. For the merit based M.Sc. Courses the colleges release admission forms which can usually be filled online or offline from the campus of the specific institute.

Hello Vishesh Rai, yes definitely you can. There is no bar in doing engineering graduation in different subjects. Best wishes to you.

Tap the link below
https://www.shiksha.com/university/kau-Kerala-agricultural-university-thrissur-58179/cutoff
Do upvote if seems helpful.

Hello! Ishan, Yes you can get admission in IIST with your rank. This is a good rank.

You can check out the following for more information -https://www.shiksha.com/university/iist-indian-institute-of-space-science-and-technology-thiruvananthapuram-25141.

For the year 2020 , 112 marks ( 28.28 % ) out of 396 was closing marks in general category. But this marks will vary from year to year depending on paper difficulty and the students who applied for IIST. In terms of rank , you can have target of getting rank under 10k as of now.
Hope it helps.

Kerala MG University better for in my view for MBA.