Look at your prospective major’s requirements in the College Catalog; if specific courses are required to satisfy Core requirements, they will be listed under the program’s “Summary of Requirements” or "Program Requirements" section within a “General Education” category (example: Mathematics). Some of the majors that require Chemistry or Physics may not seem obvious (ex. History and Philosophy of Science, Computer Science), so double check to be sure.
If your major(s) of interest require Chemistry or Physics, pay special attention to which variant will satisfy the major requirements as both subjects offer three different versions of their introductory sequence. For example, most majors allow students to satisfy the Physical Sciences requirement with any of the three Physics sequences: PHYS 12100-12200-12300 (General Physics I-II-III), PHYS 13100-13200-13300 (Mechanics, Electicity & Magnetism, and Optics), or PHYS 14100-14200-14300 (Honors Mechanics, E&M, and Optics). However, there are a few that will accept only the 130s or up (example: Computational and Applied Mathematics).
If your intended major requires Chemistry AND Physics, you should plan on completing your Chemistry sequence in your 1st year. You can turn your attention to Physics in a future year. This also applies to all pre-med students, as they are required to take a full year of both subjects.
If you are undecided on a major but think there is a possibility that you might want to pursue an academic program that requires Chemistry or Physics (including pre-med!), then it’s best to go that route from the start. It’s always easier to stop a science once you’ve started than to start one later on. If you end up in a major that doesn't have specific expectations for the Physical Sciences requirement, you can still use your General Chemistry or General Physics courses to satisfy the requirement.
If your major doesn't require Chemistry or Physics and you're not interested in pre-med, see "PHSC Options for Non-Science Majors," below.