which one is more physics based? which one is more prestigious?
This really depends on the program/adviser if you're talking about research. Also it depends on the culture which is regarded as more prestigious, but I think chasing prestige is rarely a good idea anyway. An Iranian friend told me that electrical engineering is considered the highest field in Iran, whereas a friend from China told me that mathematics is considered to be the highest field in China, so the silly field hierarchy will vary from place to place.which one is more physics based? which one is more prestigious?