Recent content by Amith2006

  1. Amith2006

    Undergrad Sample distribution and expected value.

    ##X_i## is not a sample. It is a random variable. We find the expectation value of that random variable defined as, ##E(X_i) = \Sigma{x_iP(x_i)} = \mu## Hope this helps!
  2. Amith2006

    Calculate Volume Flow Rate in Ideal Liquid Flow: Homework Solution

    Ok. What is the principle that deals with ideal fluids in motion?
  3. Amith2006

    How Long to Fill Tank with 3 Pumps?

    The answer seems right to me. If you think about the time taken to fill the tank will all the pumps filling simultaneously, is less than that taken by the pump A which has highest rate as it should be. This is just ratio proportion kind of problem. I think you are making it complicate by...
  4. Amith2006

    Graduate Quark mixing factor in CKM matrix

    Sorry ##V_{us}##. Ah, now I get it. Thanks.
  5. Amith2006

    Graduate Quark mixing factor in CKM matrix

    I can understand that the coupling between u and b is equal (in magnitude) to the coupling between ##\bar{u}## and ##\bar{b}## due to the Hermitian property but in the decay of charged Kaon, ##K^+ \rightarrow \mu^+ + \nu_\mu## the hadronic part of the current has ##V_{c\bar{s}}##...
  6. Amith2006

    Graduate Quark mixing factor in CKM matrix

    I find that the quark mixing factor say for example ##V_{ub}## is the same for: u ##\Leftrightarrow## b ##u\Leftrightarrow\bar{b}## ##\bar{u}\Leftrightarrow## b ##\bar{u}\Leftrightarrow\bar{b}## Does this have something to do with weak interaction being unable to distinguish these from one...
  7. Amith2006

    Fourier transform of vector potential

    Homework Statement I have question on doing the following indefinite integral: $$\int{d^3x(\nabla^2A^{\mu}(x))e^{iq.x}}$$ Homework Equations This is part of derivation for calculating the Rutherford scattering cross section from Quarks and Leptons by Halzen and Martin. This books gives the...
  8. Amith2006

    Electric field inside a cavity within a sphere

    Homework Statement This question has already been asked before. The electric field inside a spherical cavity carved out of a larger sphere is uniform which I have derived. What I don't really understand is that if you construct a gaussian surface inside the cavity, it wouldn't enclose any...
  9. Amith2006

    Does Measurement in the X Direction Affect Y Coordinate in Quantum Systems?

    Does x & y directions commute? Seem trivial! Just wondering whether any measurement made in the x direction affect it's y coordinate.
  10. Amith2006

    What is the electric field due to a line of charge at different distances?

    Hi guys, I have got stuck understanding the following problem. # A straight wire of length L has a uniformly distributed charge Q. Find the electric field on the axis of the wire a distance z from the center of the wire for the cases (a) z> L/2 (b) -L/2<z<L/2 To begin...
  11. Amith2006

    Undergrad When Can't You Use the Wronskian Rule?

    In order to find the wronskian of n functions, it is enough that they have (n-1) differentials because you will then have the same number of equations as the functions. Sorry for being late to the party!
  12. Amith2006

    Graduate Principal axes of a rigid body

    Thanx to all of you. -- The more you learn, the more you realize how little you know…
  13. Amith2006

    Graduate Principal axes of a rigid body

    Hello Studiot, Now, coming to the question you asked, I would like to take a specific case rather than a general one. For example, consider the case of a rectangular plate of mass m lying in the X-Y plane whose principal co-ordinate axes is located at the center of mass of the plate. If you try...