I'm afraid you'll need to give more details of your attempt. How did you manage to "solve for v"? Both of the equations you mention need a v0, and I don't see one in your data...
It would perhaps help if you identify what data you have been given in the question (i.e., name it –*this number is...
Unfortunately you’re not using the right equations at the moment. The wavefunction you have is for electrons inside the barrier, so you are calculating the electron density a distance x inside the barrier rather than the tunnelling probability. Moreover, the shape of the potential in your...
Nope, just use 1 throughout. If you are using Miller indices, the convention is that you always talk about, e.g., the (200) reflection rather than the “second-order (100) reflection”.
Did you get part (c)? That's a nice question!
The reason the voltage disappears over time is because there are leakage currents, not because the temperature stops changing.
The difference between piezoelectricity and pyroelectricity, broadly speaking, is that both involve inducing an electric dipole pointing in a particular direction, and...
I think you mean -π/2 there, but otherwise yep, that's fine. (Or there are similar trig identities you could use, but of course it will add up to the same thing.)
Really? This would imply that every energy level is equally likely to be filled, which I hope seems unlikely. So what difference between the ground and the excited state haven’t you taken into account?
The idea of a band gap normally refers to the difference in energy between an entirely full (valence) band and an entirely empty (conduction) band. Here, since you have a half-filled band, the system would be metallic if you believe the simplified band structure diagram you’ve attached. (In...
I'd take out the \sqrt{1/L} since there's no reason to consider any sort of box here (and besides you can absorb it into the A and B terms). Get rid of the time-dependent bit (since you're going to ignore it anyway - you're integrating over x) and make sure you label your two ks differently...
You're almost there! You're correct that the momentum has a definite value when \hat{p}\psi = p\psi for some constant p. Is that the case here? If not, you will have to conclude that this state has no definite momentum.
As for the second half, we know that the allowable momentum values are...
This is also for a time interval. Do you understand what I mean by the difference between a coordinate and an interval? And do you recognise the formula, say,
t' = \gamma\left(t - \dfrac{vx}{c^2}\right) ?
This looks like a relatively simple introduction to the question, not requiring Fourier transforms at this stage. How would you relate the energy of a species to its velocity?
No (if what you mean is that only five can occupy an energy level). A particle with spin number 2 would be a boson (because 2 is an integer) and therefore there would be no limit on the number of such particles occupying a single energy level (the limit arises from Fermi-Dirac statistics).
OK, this is slightly unclear at the moment but I think the intention is that Anna ('s body) passes Bob at t = 0. This will become important!
OK, not a bad start (although I'd call this quantity \gamma). Any other equations that might be relevant?
Yep, that's right.
So far so good...
How did you get the answer at the ends? The same working may help for the middle.
If you haven't already, try drawing a force diagram for just, say, the left half of the rope.