B.Sc Physics

If you are interested in physics, then go ahead. Don't be confused if you can do better in physics than other subjects, then you must go for the same.

Please refer to the link mentioned below for a list of top colleges offering B.Sc courses in physics:
https://www.shiksha.com/science/articles/top-10-bsc-msc-colleges-in-india-blogId-13473

Some of the books which you can refer to are as follows:
1-Introduction to Quantum mechanics by David J Griffith, 2nd edition.
2-Mathematical physics and special relativity by M Das, PK Jena, BK Das.
3-Heat & thermodynamics by DS Mathur.
4-Statistical mechanics by MC Gupta.
5-Classical mechanics by Chattopadhaya.
6-Introduction to electromagnetic theory by Reitz & Milford.
7- Mechanics by S Chand.

Yes, you're eligible for GATE. As long as your age is below 25, you also get to apply for the various PSU's via GATE. If not, then you can use the GATE score elsewhere to your advantage.

After B.Sc Hons Physics there are following career options:
(a) M.Sc-PhD to join as R&D professional
(b) B.Ed to become a teacher
(c) Lateral entry admission in B.Tech
(d) MCA
(e) M.Sc CS / IT
(f) MBA
(g) LLB
(h) Master in Social Works
(I) Master in Mass Communication
(j) Civil Services Examination conducted by UPSC
(k) SSC exam for subordinate services
(l) CDS examination conducted by UPSC
(m) Asst Commandent exam conducted by UPSC for paramilitary forces.
(n) PO and clerical services examinations of Public Sector, etc.

German Universities have a very nominal fee and students are allowed to work 4 hours a day maximum 20 hours a week. You will be able to earn sufficient to sponsor your living expenses. I am of the opinion that German Universities will be the best for you.