1. At the beginning of the video the kid was speaking in Malayalam language. So the person is from Kerala.
2. He joined INS Shivaji, which started operations in 1945. Wiki: https://en.m.wikipedia.org/wiki/INS_Shivaji
3. Few trainees were moved to INS Valsura, which was started in 1942. Wiki: https://en.m.wikipedia.org/wiki/INS_Valsura
4. By seeing the video they had all training materials and machines, so it would have taken at least 5 to 10 years from 1945.
5. Later he mentioned that he joined INS Vikrant, which started operations in 1961 by the Indian Navy. Wiki: https://en.m.wikipedia.org/wiki/INS_Vikrant_(1961)
6. Another fact to consider is that Indian cinema moved to colour films after 1970. Wiki: https://en.m.wikipedia.org/wiki/Earliest_colour_films_in_South_India
7. Since the video is in B&W, I expect the footage would have been recorded between 1962 to 1970.

Widescreen film was, for all intents and purposes, nonexistent before 1953. And that’s just Hollywood. I’d imagine it took longer to catch on in India, but I’ve only ever seen a handful of 50s Indian films… can’t remember any being widescreen.

So there’s your first hint. Can’t be much help other than that