Recent content by frankR

  1. frankR

    Solving Orbital Mechanics: 24 Hours to Seconds Conversion

    That's one of my favorite problems. I think the answer is about 24,000mi. Don't forget to subtract the radius of the earth. I always forget to do that!
  2. frankR

    Check my work please. Particle states.

    Me and my fellow class mates were able to find 32 as well for a. Nice work! You're a janitor that does physics in his spare time? Are you like Will Hunting? :D
  3. frankR

    Check my work please. Particle states.

    Okay so I also missed: 1=3e, 2=2e, 3=e, 4=e Did we get them all this time? :cry: :rofl:
  4. frankR

    Check my work please. Particle states.

    Yeah you got me there. I should specified identical particles. So say all are electrons. I ask because Prof. Webb specified "indistinguishable Fermions". So that would indicate were not talking about electrons and protons, in which case the Pauli Exclusion Principle doesn't apply, Protons...
  5. frankR

    Check my work please. Particle states.

    Ahh I missed: 1=e, 2=e, 3=e, 4=3e So corrected answers: a) omega = 16 (I permute here by multiplying by 4 right?) b) omega = 4 c) omega = 1 Thanks.
  6. frankR

    Check my work please. Particle states.

    Problem: Consider a non-interacting system of 4 particles with each particle having single-particle states with energies equal to 0, e, 2e and 3e. Given that the total energy of the system is 6e, find the number of microstates of the system (and identify the microstates) if the particles are...
  7. frankR

    Find the phase and group velocity of three plane waves

    Yi(x,t) = A*Sin(kix - {&omega}it), where i = 1, 2, 3 Phase velocity for two wave can be given by v = (&omega + [&omega]')/(k + k') and group velocity u = (&Omega - &omega')/(k - k') but what about three waves? I'm not sure what to do for three waves. I've looked all over my text and...
  8. frankR

    Uses & Future Uses of Astronomy | Get Info Here

    Navigation is one use off the top of my head. Our calander is based on astronomical patterns (loosely). Future uses. The cosmos is a place where we can conduct observational expirements to learn about physics that we can't replicate here on earth, black holes for example. Einstein's...
  9. frankR

    Hairy Electro-Magnetics problem.

    A surface current equal to Js is flowing on the surface of a perfect conductor in the x-z-plane traveling in the positive x direction. At a distance y = L along the y-axis lies the central axis of a cylindrical conductor with radius “a” and having a volumetric current distribution Jv= Jo*r*ex...
  10. frankR

    Equal sign with a triagle above it?

    In my EM textbook it uses a equal sign with a triangle on top to define the intrinsic impedence of a lossless medium. I think it means definition but I'm not certain. The text is 2004 edition of author Ulaby titled Fundametals of Applied Electromagnetics, pg. 265. Thanks
  11. frankR

    Ray tracing with matrices

    Nevermind I fiquered it out. Not sure why it's right, but I discovered how to find the correct answer using, a different system of matrices, the correct system. I didn't need to include a diffraction for the scratched surface (apparently). If someone could explain to me why not, I would be...
  12. frankR

    Ray tracing with matrices

    Here is the problem: A glass sphere with a diameter of 5cm has a scratch on its surface. When the scratch is viewed through the glass from a position directly opposite, where is the virtual image of the scratch, and its magnification? The glass has an index of refraction n=1.50. Explain the...
  13. frankR

    Does the following matrix have an inverse?

    I just found this: N-1 exists only if: det(NN-1 != 0 I'm a little rusty on my linear algebra, plus I got a concusion yesterday.
  14. frankR

    Does the following matrix have an inverse?

    N= [i,1;-1,i] I used this theorem: N N-1 = In Thus: [i,1;-1,i]*[a,b:c,d]=[1,1;1,1] I then found: ia+c=1 ib+d=1 -a+ic=1 -b+id=1 Can I conclude an inverse does not exist. If so, how? If not, what do I do? Thanks, Frank
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