Recent content by Steph

I have written in my notes that conjugate matrices have the same characteristic polynomial -- am I correct if I say that conjugate matrices must have the same characteristic polynomial, but that matrices with the same characteristic polynomial are not necessarily conjugate? Is the point here...

I have a question where I must prove that none of the following matrices are conjugate: 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 I started by working out the characteristic...

Thanks for your reply to my question. I apologise for the typing errors. - yes, u and v are the components of velocity in the x and y direction respectively - I had intended to type x^2+ y^2= a^2, and also later that s = 0 s is a variable we used in lectures, although it was never defined...

A steady two-dimensional flow (pure straining) is given by u = kx, v = -ky, for k constant. (i) Find the equation for a general streamline of the flow, and sketch some of them. (ii) At t = 0,the fluid on the curve x^2 = y^2 = a^2 is marked (by an electro-chemical technique). Find the equation...

I'm currently writing up a physics practical which looked at the resonance of the impedance of an LCR network. I'm trying to look for theoretical information on the internet, but am struggling to find relevant information. The LCR circuit I used had the inductor and resistor in series, then...

Having written about ideal gases, I now have to say to what extent the ideal gas equation of state is an expression of experimental results, and to what extent a definition. My instant reaction is to say it is fully based on experimental results, having been derived from the results of...

Do you know a formula for calculating the atomic mass from percentages of different isotopes? Atomic mass is equal, in this case, to: [(Br-79 percentage abundance/100) x 79] + [(Br-81 percentage abundance/100) x 81] Because you know the atomic mass and not the abundances, let...

Sorry - I've just found the mistakes in my working and have managed to complete the question :blushing:

I'm stuck on the following question: the diffraction patterns produced when Xrays of wavelength 46.8pm or electrons of energy 688eV are scattered from the same specimen of aluminium are found to be essentially identical. Use this information to determine the value of Planck's constant, h...

Thanks - that's been really interesting. I'd seen the idea of a tree appearing to be below the horizon, but I'd not linked the two together atall. I looked on google too and found lots of sites to read through - thanks.

I'm studying interference and optics at the moment - can anyone explain why in hot weather dry streets can appear to be wet? Thanks :smile: