Recent content by asdfghhjkl

Thank you for pointing this out, I cannot believe I made such a basic mistake.

That is exactly what I have done; I am attaching a figure with my working; .

Homework Statement In a classical model of a multi-electron atom, electrons are assumed to move in a modified electrostatic potential $V(r)$, given by; $$V(r)=\dfrac{-k}{r}e^{-r/a}$$ Show that the effective potential is ; $$V_e(r)=\dfrac{J^2}{2mr^2}+\dfrac{-k}{r}e^{-r/a}$$ Then show that...

No unfortunately, I did not get any further.

Homework Statement For poisson's spot to be observed, how accurately circular must the stop be? How is the argument for the Poisson's spot changed if the light is either; white or spatially incoherent? Homework Equations The Cornu spiral for the circular aperture. The Attempt at a Solution...

Ok so I went thought through this again, and I came to the following conclusions; I) To get the relation between $$\omega$$ and derivative of $$\psi$$, you assume that there is no slipping. Hence the center of mass of the small cylinder should move with the same velocity as the edge of the...

Homework Statement A small solid cylinder of radius r lies inside a large tube of internal radius R. Show that the angular velocity of the small tube $$\omega$$ is related to $$ \psi $$, the angle between the centre of mass of the solid cylinder, the centre of the large tube and the vertical...

Homework Statement A diffraction grating has period D, and each element of the grating consists of a pair of narrow slits separated by D/N where N is an integer. a) Sketch the diffraction pattern when the grating is normally illuminated b)Calculate the relative intensities $I_n$ of the various...

Great thank you for the clarification.

Homework Statement As a part of my self study I am trying to find the covariant basis vectors in the spherical polar coordinates. Since I have never done anything like this before I would appreciate if someone could tell me whether I am on the rigth track. Homework Equations...

Hello all, I have just covered a very brief module on special relativity as a part of my physics course. I have also done some extra reading mostly; Morrin's Classical Mechanics. While I found the book really illuminating in some aspects, I still feel that regardless of how hard I try there is...

Ok, thank you.

Hello, I was wondering is there a relation between the refractive index of the material and the amount of light the material absorbs (e.g. the higher n means higher absorption)? If so what is then a relation between the intensity of the light and the refractive index? p.s. I am trying to...

Oh, I see thank you very much for your help :)

Hello everyone, I have a brief question. I am trying to solve the following simple differential equation: x\dfrac{dy}{dx}= y^2-1 I manage to solve it one way, but when I try to solve it in the following way, I cannot get the correct answer. I would really appreciate if someone could...