Dietetics

To know about the details regarding faculty, I would suggest you to visit the center and get in touch with the students who are currently enrolled there and have a word with them, as they will be in a better position to inform you about the faculties there.

It would be really tough to give you the syllabus of M.Sc in nutrition and dietetics entrance exam.
You can get the details of the entrance exam from the students studying here:
Link to official website: http://www.gbpuat.ac.in/.

Course duration: Regular Diploma course is 2-3 years long. Depending upon the institute, course duration may vary. Some institutes are known to offer distance education course format. Course duration may differ, when considering such course formats.
Eligibility criteria: 10+2 passed from a recognized board (or equivalent).
Admission process: Depending upon the institute, it could be direct admission process or merit based admission process.

Please refer to the link provided below for colleges which offer courses in M.Sc. Dietetics. You should be able to download their brochure which will give you a fair idea of any distance courses in M.Sc. (Dietetics).
https://www.shiksha.com/science/colleges/m-sc-food-nutrition-colleges-india

Please refer to the link mentioned below for the list of colleges which offer courses in B.Sc in dietetics and nutrition from distance mode.
https://www.shiksha.com/medicine-health-sciences/dietics-nutrition/colleges/colleges-india