Embedded Systems/VLSI

BEL, CDAC and NIELIT are leading public sector firms. Besides chip manufacturers like Intel, Cypress, Texas Instruments etc recruit VLSI qualifieds. Register yourself with job portals. Read Employment News and leading national dailies. Entrepreunership opportunities do exist in this domain. Membership of professional associations and contacts with alumni will also benefit. You also hae opportunities for pursuing higher education. Opportunities also exist in academic sector.

As we are mechanical we can't expect any placement from campus. There wont be much placements ,but the will come companies. We should try outside only.

Netaji Subhas Institute of Technology (NSIT)
YMCA University of Science and Technology (YMCA UST)
Indian Institute of Technology, Delhi (IITD)
If you are open for other states then many good institutes and colleges are available.

Yes it is a good choice, you can go for it. However if you target an IIT than it is the best thing for you. Start preparation for GATE with your full efficiency if you get a rank within 1500 you have a fair chance to get admission in IITs.

Hi
P.HDS in USA and Canada are mostly funded in two ways. Either you receive a grant or you get graduate assistantship. The best way to apply in the University is to select the one which will have the course you are interested in. Write an email showing your interest to the concerned professor or department and then share your research proposal. You will get all info here.
https://www.findaphd.com/study-abroad/america/phd-study-in-usa.aspx