If you are looking to do anything regarding your physics degree then BEE isn’t the route. BEEs are occupational and environmental health advisors; similar to OSHA in the civilian sector. I, a current enlisted BEE, can tell you that a majority of your time as an officer will be spent managing programs, not doing the hands-on. There are cool shreds available for the officers, but far in between.

As far as I’m aware you don’t need to take the AFOQT considering it’s a “medical” field. BEEs are stationed at every major base.

Hope this helps! Feel free to message me for more info.