Say the argument you've given corresponds to a b^3 cube, subdivided into eight (b/2)^3 cubes. Would it still hold for a (2b)^3 cube split into b^3 cubes? Or a (cb)^3 cube split into (cb/2)^3 cubes, where c is any positive real number? Since your solution (i.e. 8) does not depend on b, you've...
If the charges in constant motion accelerated, they would radiate away energy, causing their motion to eventually dampen down. Therefore, particles in perpetual constant motion would need to have constant velocities, which is impossible in a real, finite, material.
In principle, you could have...
The photon initially has some finite amount of energy, E. Even given an infinite number of reflections, the photon can transfer no more than E energy to the mirrors. This, the mirrors can ultimately have no more than E/2 kinetic energy each, as opposed to the infinite kinetic energy of a...
Be careful with that--they can have some annoying typos. One of my classmates struggled with a problem for days before he checked his work with someone else and found a sign error in his international edition of Griffiths's E&M.
My school is offering a advanced mathematical methods classes next semester, taught by a supposedly world-renowned professor. Everyone to whom I've spoken, students and faculty alike, says he's an amazing teacher who gives you a unique education. However, here is the course description:
My...
Programming books or, my own preference, online tutorials are great for getting the syntax down. Once you know the basics, though, I'd start applying them immediately. You can find a good number of practice exercises and fun project ideas online, and not necessarily only hugely simplified...
I definitely wouldn't dedicate time specifically to memorizing them. Most classes that make heavy use of them will have you practice with them a lot, and you'll end up memorizing some of them as a byproduct of the work you're doing anyway. You'll probably learn things like the polar surface...
This goes back a bit further than 20 years, but I think this is what your friend was getting at: why was the original double slit experiment important? What new ideas did it inspire, and what major theories that are still used heavily today came about as a result? What about physics today...
If you're so concerned about efficiency, why not alter your schedule to maximize your own? Instead of coming in at 8:30am and waiting an hour before someone else arrives and shows you how to do run an experiment, you could sleep in an extra hour or two and stay later to recoup the lost time...
As far as I know, you wouldn't calculate the force on one dipole due to another, per se: you'd calculate the field created by one dipole, then find the force on the other dipole due to that field.
The first part is just the magnetic field due to a dipole, which you can look up or derive from a...
Quantum mechanics would be a good start. After that, computer science or electrical engineering might be helpful, depending on which aspect of quantum computing you want to focus on. Some English composition wouldn't hurt, either.
I would be very surprised if your problem was that the graders didn't like you, or that you weren't kissing enough ***. Hell, a lot of professors will see right through it, and lose respect for you as a result. The best way to back up your claims about your problem-solving skills and...
Some prereq stuff is usually gone over in an upper-level class. Both of those italicized phrases have very different meanings from the ones you used. If you've never seen a Fourier transform before, a 10-minute review isn't going to give you the level of understanding you need to reason...