B.Sc Physics

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https://www.shiksha.com/science/course/integrated-b-sc-m-sc-in-physics-annamalai-university-tamil-nadu-other-273559

Managing both will be hard. Since you are pursuing Honors, you will require proper time management. You can start by studying newspaper daily and Studying General Science. Read the Newspaper thoroughly in morning and Study GS in evening. When you get holidays, pickup a topic from history or civics and finish it on the same day.

IIFA Lancaster Degree College, Bangalore. St. Stephen's College, New Delhi. Presidency College, Chennai. Loyola College, Chennai. St. Xavier's College, Mumbai. Christ University, Bangalore. Madras Christian College, Chennai. The Oxford college of Science, Bangalore. Stella Maris College, Chennai. Ramjas College, New Delhi.

Major difference is when you graduate from B.Sc. Physics, you will not placed, whereas when you graduate in mechanical, you will definitely get placed somewhere.

M.Sc. in Astrophysics will be better option to pursue. As you have already done Physics, so you will be eligible for it. Diploma will not be much helpful. Regular B.Sc. will have more benefits.

If you're focusing on government jobs then physics, geography and maths will be best for you. If you want to go in technical line or banking jobs then computer application will more beneficial. PCM is also a good option for Master's or B.Ed. All the best.

Yes, you can go for M.Sc Maths through distance learning.

If you are general or OBC, then don't expect B.Sc. . Physics from DU in 83%. I got 93.6% in PCM & I got listed in the 5th cut-off. If you have at least 90%, then you can hope for it. But, you can do B.Sc. . Phy from other universities like IP, etc.