for the de broglie question, i said only orbits which have a circumference which is a whole number multiple of the electron's de broglie wavelength can exist, blah blah blah blah
and then i said, in orbits where standing waves are not be formed, destructive interference will occur, and the electron will spiral towards the nucleus and that wave will cease to exist[/u]
i am sure destructive interference will occur, it says so on 2007 itute trial paper solutions, but not so sure about electrons spiralling in, shit, why did i write that. can anyome confirm whether this is garbage or if it makes sense?
for the path difference question i solved 2 simultaneous equations and got 496 nm (i think similar to what /0 did)
Not sure about the spiralling in thing. I think you might have got confused with the problem with the Bohr model and classical physics, which suggests that an electron orbit would be emitting EM radiation and hence would spiral into the nucleus...
"energy levels of the atom could not be explained in terms of the Newtonian model , since orbiting objects are by definition accelerating and should therefore be gradually losing energy, and thus should be expected to spiral in towards the nucleus eventually crashing into it. But this was not in accord with the observed facts. What therefore was it that kept the electrons within their discrete ‘scale-like’ positions at particular distances from the nucleus"
this is from some website. hmm I don't know, it does say that they are
expected to spiral in towards the nucleus according to the newtonian model, and the reason they don't (as De Broglie discovered) is due to the presence of standing waves. Ughh.. I hope they don't mark me down :/