I applied through a recruiter. The process took 4 months. I interviewed at US Navy (Washington, DC) in Mar 2015
Interview
2-3 technical interviews with a naval reactors engineer to test your aptitude in math and science. Followed by 1 on 1 interview with admiral who gauges your interest and motivation for the program and in the Navy in general.
Interview questions [2]
Question 1
Estimate the spring constant in a given physics problem.
Math, Physics, thermofluids topics were asked by 2 different interviewers. They tended to care much more about thought process than the ultimate correct answers to the problems. Ended with the admiral interview; very direct and simple behavior questions.
Three technical interviews in Calculus/Physics, one personal with the admiral. Technical interview process was relatively straightforward and are straight from the practice problems your recruiter gives you. Definitely concentrate on optimization calculus problems and how to derive the volumes of shapes.
I applied in-person. The process took 3 months. I interviewed at US Navy (Washington, DC)
Interview
3 Rounds of interviews.
2 - Technical in nature, can be asked about any technical subject studied while at University. Calculus and Physics are fair game to all candidates. If you do not perform well on 1, you may receive 3rd technical interview.
1 - Interview with NAVSEA08 - Will be more of a personality interview, could reflect on past failures/obstacles, why you want to do the job, where you think you may struggle, and why you are a good candidate
Interview questions [1]
Question 1
The questions for technical interviews are derived from the NUPOC study guide materials.
These questions are random in nature, but you will generally have to demonstrate your knowledge on Physics and Calculus at a minimum and then often will answer questions concerning your major field of study.