In my work in Telecom and in applying for my M. Eng degree, I've never been held back by having a BA in Physics instead of a BS. Some university programs out there might look down on a BA vs. a BS if you are looking to get an advanced Physics degree, though. It depends on your goals. I would suggest that, if you are looking at getting a BA and going directly into the workforce, take some time to consider pursuing something specific (like a minor) instead of taking those additional upper level math and physics classes that a BS requires. If an interviewer does make a point of you having a BA, it would be great to be able to say, "Yes, I felt I needed this business/computer science/biology minor to be a more valuable, fully-rounded employee, and the BS program didn't allow for that flexibility" instead of "Well, I didn't want to take any more math."
If you do want to further your education in Physics past a BA, you will probably want to look for working with some of your professors on some of their research. Perhaps even more than the other Physics students at your university. Your faculty usually have work for undergrads to do and they can provide valuable networking with other university programs.
Don (Bull) recommends the following next steps:
especially if this frees up your schedule to take other courses that interest you and are relevant to your intended field.
Academically, a Bachelor of Arts degree and a Bachelor of Science degree are equally valued. Both offer the students who earn them the opportunity to continue their education at the master’s degree level if they are so inclined. But, the two tracks do tend to hone different strengths. The coursework required for a Bachelor of Arts degree generally allows students to sharpen their communication and writing skills. By comparison, the demands of a Bachelor of Science degree typically foster analytical skills and a detailed understanding of subject matter.
Regardless of the name, which tends to vary from program to program, I would advise you to take as much mathematics as possible. Your ability to do math will determine how far you can go in any discipline, and how easily you can move between fields. Because math is so fundamental to so many fields, knowing it will let you easily pick up new knowledge.