Product Design

Hi Pratik,
Most product design courses are offered in conjunction with industrial design. You need to be more specific with your requirements here, are you looking for an engineering degree? Are you looking for an MS? Nevertheless here are some choices:
Stanford
Georgia Tech
Illinois Institute of Technology
Carnegie Mellon University
NC State University
Regards

Hello Prashanth,
Definitely you can study your desired course in Australia. For that you need to take up IELTS and score at least 6.5 overall with no band less than 6.
Do some research about the universities you are interested in and apply for the universities within the deadline. Majority of the Australian universities have 2 intakes i.e February and July.

Which course would you like to pursue? In which specialization have you completed your engineering?

Yes, mechanical engineering graduates are eligible to pursue M.Des in product design. Some of the best institutes, where you should seek for admission are:
1. Industrial Design Center (IDC).
2. IIT – Bombay.
3. IDDC.
4. IIT-Delhi.
5. MIT Institute of Design.
6. NID – Ahmedabad.
7. Symbiosis.
8. UPES School of Design Studies and
9. NIT - Rourkela.
All are good and provide good exposure, faculty and placements.

The best college to get into is NID.

The fee differs from institute to institute. You will have to check the same with the institute you wish to get into.

You may for for UX and UI designing.