Hello, Next year I will possibly be starting something called an EPQ (Extended Project) where you pick a topic of interest and research it and write up a report of a minimum of 5000 words, including documented evidence and logs of each experiment done. It can be on any topic, from clay animation to the pyramids of Egypt. I want to do something physics-related that has a lot of mathematics in it. The EPQ is effective in the UK when applying to universities as admissions tutors identify it as showing devotion and passion for a subject. I thought about doing one entirely on prime numbers, but I don't think I would be able to complete an entire 5000+ word report on that. I was thinking that perhaps I could do an extension of the experiment that I did in this thread. I think I still have all the raw data for this coursework (index of refraction vs. wavelength). I liked this experiment because it was very easy to do practically and the relationship between refractive index and wavelength was very clear. I would be open to doing an entirely different experiment, however. I don't have access to many resources; in my school they have power packs, ray boxes, tiny solar panels, magnets, glass blocks, etc. the standard things that a science department in a school would usually have. I don't have a full list, unfortunately. If I have to buy materials they have to be fairly cheap and safe/easy to use (no building flamethrowers or firing guns). Some people have already suggested the double-slit experiment, the Doppler effect, etc. but I am not sure what to do. I don't really like 'fiddly' experiments where it takes a long time to set things up and it's likely I could get confusing or lots of anomalous results. I like particle physics but I'm not sure what kind of experiment I could do with that. I could do a mechanics-based project but I'm a bit unsure about this because I don't know a lot of mechanics. I've done some mechanics units at A-level already (stuff on moments, particle collisions, inclined planes, SHM, gravitation, projectile motion, centres of mass, work/energy/power, etc), but I don't know if I know enough to start a decent project that can be interesting as well as get me a top grade. Does anyone have any ideas on what I could do? The work must be mostly theoretical and fairly interesting (enough for me to be able to work on for an entire year). I may be able to find the help of some friends to aid me with any experiments (if they're doing EPQs too, or if they're just willing to help). I have a basic knowledge of calculus topics (integration, differentiation, partial derivatives, calculating div/curl/grad). Someone on another forum suggested I do an experiment on Special Relativity but I'm not sure how I would do this. I've started learning about the Lorentz transformation but that's about it. I am currently at the end of Year 11 (10th grade in US?) going into Year 12, and would be very appreciative of your ideas. I also heard someone jokingly say on another forum (not in response to me) to do it about string theory. My understanding of string theory is not too great (in terms of the mathematics I know about it, pretty much nothing I think). I would like a report that involves a great deal of mathematics, and, though string theory is very mathematical, I don't yet possess the mathematical knowledge to make a decent report on it without it turning into a history essay or something. Someone also said to do something cosmological where I look at secondary data from a range of sources and look for patterns, but I don't know where to start. It's not my strongest part of physics but I do like it. Any ideas? The most recent maths/physics-related topic I've learned about are Fourier transforms/series. I know how to do some of the mathematics involving those topics but my physical understanding of them is not so great. What kind of experiment could I do involving them? Will it get too hard for me?