Apart from cooling and control issues, I do not understand why they would want to have the reaction propagating in one direction. Losses could potentially be minimized by having the highly enriched zone in the centre of a "slab" surrounded by breeding material. The reaction could proceed in both...
1. For a problem I require the atomic density of uranium atoms per cm^3 in a solution of water. The atomic fraction of natural uranium to water is 1 per 100 and the net density of the solution is 1 g/cm^3. (Natural uranium is assumed to be U-235 at 0.72% of uranium atoms and the rest is U-238)...
Suppose we consider a beam of neutrons incident upon a thin target with an intensity of 10^12 neutrons/(cm^2.s). Suppose further that the total cross section for the nuclei in this target is 4 b. Using this information, determine how long one would have to wait, on the average, for a given...
since m=-l...+l we have 2l+1, m values. how do i know which integers i will have for l in this case, would it be just 0 and 1? Since the hamiltonian has degeneracy, how can i find what else i need to specify a complete set of commuting observables?
Consider a spin-less particle, mass M, confined on a sphere radius 1. It can move freely on the surface but is always at radius 1.
1. Write the Hamiltonian H=\frac{L_{op}^2}{2M} in spherical polar coords.
2. Write the energy eigenvalues, specify degeneracy of each state. (not you can omit r...
Homework Statement
Mass m is connected to a string and is being whirled in a circle in a horizontal plane of a table. The string passes through a hole in the center of the circle and is being pulled with a constant velocity V starting at t=0 so the radius decreases. Initially the mass is at...
Homework Statement
Calculate the expectation values of x, x^2 for a particle in a one dimensional box in state \Psi_n
Homework Equations
\Psi_n = \sqrt{\frac{2}{a}}sin(\frac{n\pi x}{a})
The Attempt at a Solution
i formed the integral
\int_{-\infty}^{+\infty}\Psi ^2 x dx as the...
so what youre saying is to form the integral f(y)=\int 2x-x^2 dx?
if its outside the interval do i let the limits be (-infinity to 0) and (2 to infinity)
for inside 0 to 2 but at the endpoints what are the limits?
let f(y)=\int_0^2 \delta(y-x(2-x))dx. Find f(y) and plot it from -2 to 2.
I know how to calculate \delta (g(x)) but i am not sure how to treat it with the y. I thought possibly to solve the quadratic in the delta function to find what x will equal for the roots in terms of y and got...
Just studying for an exam and the following question appeared on the sample exam:
Given the force: F=-c(x-y)^2(\hat{i}-\hat{j}) where i and j are the unit vectors.
a) Show the force is conservative
b) Show the potential energy is given by V(x,y) = \frac{c}{3(x-y)^3)} assuming V(0,0) =0...
Today the professor wrote down the following for use in an integral:
\frac{1}{2}cos(2\theta)=sin\theta cos\theta
i am not sure is this is correct. i have tried to prove this and cannot, i have also not found it in an table of trig identities. Is this a valid identity? i am not sure since...
hello, i just wish to check that i have done the following correctly:
1. Evaluate \int d\overarrow{r} (r is a vector, and its a closed integral) around the circle C represented by x^2 + y^2 = a^2
what i did here was switch to polars and called d\overarrow{r} ->rd\theta then i noted that...