Hi, I am a first year student of ECE in India, I am really really interested in Astronomy and Astrophysics and was hoping to get into a BS in Physics program in IIT Kanpur or IISc Bangalore however I fell short of it in JEE. However after doing a bit of searching online I see that several institutes in India like IUCAA, IISc, NCRA-TIFR, RRI, IIA etc. take BE/B. Tech students for PhD/Integrated PhD in A&A. But I am really confused regarding the following: 1.) The entrance exam to all the above mentioned institutes((like JEST, INAT, IIAEST, etc.)) are largely based on undergrad or grad level physics and maths, which my engg. course won't prepare me for, so how do I prepare for these exams by myself? Is it even practically possible? If so please suggest some books and strategies to self-study undergrad level physics and maths. 2.) Do US Universities admit B. Tech students to MS-PhD programmes in A&A? If so what exactly is the admission procedure? Which papers of GRE would I have to answer and how do I prepare for them? Would I need to do internships/research projects/etc? If so, how do I find these in India? 3.) What is the scope of a PhD in A&A? How hard will it be for me to get a position in academia or in a research institute((both, in India and abroad)) where my job will be directly related to A&A/Physics? Money isn't a big issue for me, I will be content as long as I can secure decent and clean living conditions, food and broadband internet((:P)). Thanks for taking time to read all this, all help on these will be highly appreciated!