Recent content by zhillyz

First image showing script and plot Second image where all I have done is slightly change the thickness and now the plot looks very weird. Final image showing the kind of plot I am expecting. Am I just doing something stupid as I can't see what is wrong/different between my equations and the...

Homework Statement \int_{0}^{2\pi} \dfrac{d\theta}{3+tan^2\theta} Homework Equations \oint_C f(z) = 2\pi i \cdot R R(z_{0}) = \lim_{z\to z_{0}}(z-z_{0})f(z) The Attempt at a Solution I did a similar example that had the form \int_{0}^{2\pi} \dfrac{d\theta}{5+4cos\theta} where I would change...

That is what I got if you convert to those units. Though the comparison against the experimental value in table 1 is unitless i.e. magnetic moment/nuclear magneton and the equation above gives you an answer in units of nuclear magneton(if you don't put in the number of mu_N and just leave it as...

Yes sorry the subshell is 0d3/2 also its total angular momentum is 3/2 not its spin which I said before. I continued studying on my own when I didnt get an answer and in case anyone is interested the answer (I think) would be to use this formula (derived from the first equation I mentioned...

Homework Statement Calculate the magnetic moment of the ground state of \,_{20}^{39}Ca. Compare to the experimental value in table 1. Homework Equations Nuclear Shell Model knowledge The Attempt at a Solution Well firstly the magnetic moment of the nucleus similar to the spin is...

Firstly, sorry if this doesn't go here please feel free to move it as I was a little confused where to put it. TL:DR Doing a project question interests me, "Why can photonic crystals be used to create a super lens?" Okay so I am doing an undergraduate project for my honours year that I...

I posted this in Introductory Physics but not sure if that was right so I have posted here as well hope that's ok. Homework Statement To run a one dimensional transducer modelling program and analyse the data. The attempt at a solution I have ran the modelling program for different...

Homework Statement To run a one dimensional transducer modelling program and analyse the data. The Attempt at a Solution I have ran the modelling program for different scenarios, first the transducer itself, then with a layer of water on one side, then with a matching layer between the...

Forgot to say that; q^{2}(z) = k^{2}n^{2}(z) - \beta^{2},\hspace{5mm} \beta = kn_{in}sin \theta_{in}, \hspace{5mm}k=\dfrac{2\pi}{\lambda} and the second order differential of E with respect to t is; \dfrac{\partial^{2} E}{\partial t^{2}} = -\omega^{2}\Psi(z)\exp^{i(\beta x-\omega t)}...

Homework Statement Derive from Maxwell's equations these Hill equations for 's' and 'p' mode waves; s\hspace{3mm} modes: E(r,t) = \Psi_{s}(z)e^{i(\beta x - \omega t)}y \\ \hspace{10mm}Hill\, Equation for\, \Psi_{s}(z)\\ \hspace{17mm} \dfrac{d^{2}\Psi_{s}(z)}{dz^{2}} +...

Ahh forgot to get rid of the x so that would mean k = 2pi*b/a. And for cases where a<<b then it is just 2pi*b?

Homework Statement A wave function is given by: \Psi (x) = a cos(2\pi x) + b sin (2\pi x) for\: x<0 \\ and\\ \Psi (x) = Ce^{-kx} for\: x>0 \\ Determine the constant k in terms of a, b and c using the boundary conditions and discuss the case a >> b. Homework Equations...

Like I said even if it is not what you meant it led me to get the answer provided by my lecturer. I am familiar with the fact there are improved equations that require using the 4 vectors of each quantity. I have not been taught these yet however and we may build up to it for next years particle...

SUCCESS v2 has equalled 0.645c and M0 has equalled 4.58m0. Both the answers provided. I can't thank you enough. Cheers!

So my equation would be the conservation of momentum, the one you have stated is the rest mass of incident and target particles equalling the rest mass of the composite? I think where I was getting confused was thinking that conservation of momentum would need to sum the kinetic and rest mass...