Embedded Systems/VLSI

Yes, it's a very good choice. Semiconductor industry is growing the fastest in India due to the Technology development in Intellectual Property from most of the companies from India provides services to MNCs. VLSI industry deployed with two measures domain as follows:
Front End Development:
In this field you have to cop up with programming Languages respective to Hardware Description Language HDL for Protocol Designing and complex Digital designs. E.g., ARM processors BUS protocols, USB versions, PCIes, Ethernet and Bluetooth.
Digital design Engineer:
Design Language most prominent one RTL Register Transfer Logic and Digital Electronics and Microprocessors in-depth Knowledge
Verification engineer:
Most of the RTL design cycles ends with only verification of design to make Bug free and reliable, time to the market. According to standard VLSI design process consume 70%s verification of digital design using EDA tools more numbers demanding verification engineer. For same knowledge of Universal Verification Method system Verilog must. Back End Development
Here I know basics flow what in contains as to back end domain most probably term came across:
Physical Design Engineer:
Works on digital design on CMOS level one must have sound knowledge of semiconductor theory and somewhat network theory required. Now will talk about scope is on peak but for freshmen they must have sound knowledge of respective subjects as we haven't gone through in Bachelor's except Digital electronics. So professional Training is must to get into VLSI (tier 23 colleges).