In India there is no MSc Astrophysics course. So after your BSc physics if you want to go for the Astrophysics then you have to pursue Integrated PhD course by qualifying the entrances such as TIFR-GS, JEST etc. By qualifying this examination, you can get admission to top research institution of Astrophysics such as IUCAA, TIFR MUMBAI, ICTS BANGALORE, HRI, IMSc etc.
Now if you are interested in doing MSc, then you have to go for the course MSc Astronomy which is offered by IIT Indore. But for this course also, you need to qualify the examination of IIT JAM.
Apart from this, you can go for the regular MSc Physics course & on your final year, you can specialize in Astrophysics.
These are some of the ways you can follow in order to have a career in Astrophysics.
For more information regarding Astrophysics you can consider the link below:
https://www.careers360.com/courses/astrophysics-course
I hope this helps. Wish you a great eve!
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