Rutherford Definition and 97 Threads

I don't think there is correct answer for this question. This is my reasoning: A) This is correct since most of alpha particles move in straight line B) This is correct since the deflection of some alpha particles is away from center point C) This is correct because a small number of alpha...

Could someone guide me on what change of variable was used to obtain equation 9.138 from equation 9.137? Book : Classical Dynamics of Particles and Systems 5th Edition by Stephen T. Thornton (Author), Jerry B. Marion (Author) They told us to check equation 8.38 and in that page they had...

Hello everyone, I am working on this problem and I think I almost solved it, but then I noticed, that I do not know what values I have for dn, n and dθ. Can anyone help me with this?

How did Rutherford prepare the gold leaf for the gold leaf test (at that time)

With regard to Rutherford's atomic model, and Rydberg's discovery in general for the hydrogen distribution lines, what does Rydberg's constant physically mean? Its unit is m ^ -1, as if it were a rate, but it was not clear to me its physical meaning. And why does it grow with atomic mass...

Hi, New to the forum here! I'm teaching age 16-18 physics in the UK. I was wondering if anyone in here might have experience using equipment that looks like this: https://www.eiscolabs.com/products/alpha-scattering It's a physical analogue of Rutherford's famous experiment: roll ball bearings...

I have the equation but I am unsure of what my r min would be. Is it the sum of the radii or the difference? I am also confused on what z1 would be. I am fairly sure z2 is the atomic number of Fe(26) but I am unsure of this as well. Edit: I just read that z1 could be 2, is this correct?

V = Ke x q/r 2x 1.602x10^-19 = 8.99 x 10^9 x (79x1.602x10^-19)/r

The experimental observation of finding very few alpha particles scattered through large angles (>90) - I thought this would have inferred that the positive charge of the core of the atom (which we now come to know as the nuclei) must have been great in order greatly deflect alpha particles...

Hello, I am reading a section in Jackson discussing classical Rutherford scattering, and he mentions incorporating a cutoff in the Coulomb interaction in order to model electric screening. I am trying to understand how he applies this, as described below. The set up is basically the classic...

Homework Statement Question a) Briefly describe the Rutherford model of the hydrogen atom and mention any inadequacies that it might have. b) Describe the Bohr model of the hydrogen atom, and indicate the significance of the quantum number 'n' in the Bohr model. Homework EquationsThe Attempt...

Good afternoon. Which modifications did the Bohr model introduce into the Rutherford one to justify the Discountinuous atomic spectra, specially the one for the Hydrogen atom? Thanks

Homework Statement So I recently carried out an experiment for Rutherford scattering. From my lab script is states the following 'Recording the scattering rate as function of angle In order to compare your results with “Rutherford’s scattering formula”, you must first make a correction for the...

Homework Statement What errors did Rutherford encounter in his experiment and how did he account for them. Homework Equations I believe there is an equation to find (b) but I don't know what it is.

I read from a text that Rutherford found out that all the mass must be concentrated in the middle of the atom due to fast-moving alpa ( high momentum) is deflected back at 180 degrees. I am wondering if there is going to be no contact collision due to the the kinetic energy being converted...

I'm a Physics undergraduate at University and in my labs module I had to recreate the Rutherford Scattering experiment. The basic setup was similar to this: My problem is that this setup only records data in one plane and not 3D. In reality the particles are scattered in a sort of cone...

Homework Statement Show that the largest possible change in the kinetic energy , ##\Delta E_{kin}##, of a particle of mass ##m## running into another particle of mass ##M## at rest in the lab coordinate system is \Delta E_{kin} = \frac{-4AE_{kin}}{(1+A)^{2}}, where ##A = \frac{M}{m}##...

Hi I am revising for an exam and am a bit confused with Rutherford Scattering - Finding the cross section (is the cross section different to the differential cross section?) - Finding the solid angle. So here is a past question: A beam of 6MeV alpha particles is incident on a platinum foil. A...

Homework Statement Onto an Aluminium 50μm thick plate, we send a beam of alpha particles with unknown kinetic energy. the cross section of the beam is 2cm2, density 1013 / scm2 . Whats the kinetic energy of the particles if every second we sense 105 scattered particles between the angles 40°...

Homework Statement The difference between Rutherford's and Bohr's theory of atom is ... A. Bohr's spectrum of hydrogen atom is discrete while Rutherford's continuous B. Bohr's stated electron goes around the nucleon while radiating energy, while Rutherford's not radiating energy. C. Bohr's...

Homework Statement I am given a numerical example (to be solved with pen, paper and calculator only) of an RBS spectrum of a AuAgCu-alloy on a glass-substrate. The question is "Can you get the composition? How accurate is the result?Homework Equations All the Rutherford Backscattering...

How do we know that the nucleus is at the center of the atom? I know about the Geiger/Marsden experiment and also of its results. They observed a few α-particles scattering almost at 180°. Hence they concluded that there must exist a high density, positively charged "center" in the atom. But on...

Homework Statement I am trying to show that as the alpha particle is being scattered, the angular momentum magnitude at point M is m r^2 \frac{d \phi}{dt}. Diagram: Homework Equations Linear Momentum: ##\vec L = \vec r \times \vec p ## Repulsive Coulomb Force: ##\vec F = \frac{k 2Ze^2}{r^2}...

Homework Statement Calculate the cross section for the scattering of a 10 MeV alpha particle by a gold nucleus (Z=79, A=197) through an angle greater than a) 10 degrees b) 20 degrees c) 30 degrees. Neglect Nuclear recoil. Homework Equations...

Homework Statement Carbon scatters on a proton. What is the limit of the angle of scattering? I'm not really sure where to start this question. I know it has something to do with Rutherford Scattering and impact parameter. Homework EquationsThe Attempt at a Solution

I'm doing high school physics and if a question says something like: A radioactive source gives count rate of 110 counts per second Can you say that the ACTIVITY is also 110 bq? My second question is how would a gieger counter detect gamma radiation? It is the least ionising of all three...

Homework Statement Hi there. This is not really a problem, I am only trying to understand something but I simply can't. So Rutherford scattering says that $$ \frac{d\sigma }{d\Omega}=(\frac{Ze^2m}{8\pi \varepsilon _0 p^2})^2\frac{1}{\sin ^4(\Theta/2)}|F(q)|^2$$ where $$F(q)=\int \rho (\vec...

Hi, I was just wondering if someone could help clarify how pi - theta = phi? That is the link to the youtube video I was watching, the guys pretty good check him out if you want to learn how to derive the differential scattering cross section.

Homework Statement [/B] b) For a Form factor of form ##\theta_{(1-r)}## and ##\frac{1}{1 + e^{\frac{r-R}{a}}}##, how will these change when ##r \rightarrow 2r##? c) How would one accelerate and observe scattered protons? Homework EquationsThe Attempt at a Solution Part(b) [/B] Rate of...

Homework Statement In 1911, Ernest Rutherford discovered the nucleus of the atom by observing the scattering of helium nuclei from gold nuclei. If a helium nucleus with a mass of 6.68 10^-27 kg, a charge of +2e, and an initial velocity of 1.30 10^7 m/s is projected head-on toward a gold...

Homework Statement derive an equation for the solid angle for a Rutherford scattering detector given a detcor window area of A and a distance to the detector of D for some scattering angle \phi given that d\Omega =2\pi sin\phi d\phi Homework Equations d\Omega =2\pi sin\phi d\phi A=Dd\phi The...

Homework Statement In the famous “Rutherford backscattering” experiment, alpha particles (Z=2) of approximately 7 MeV were used to bombard a Au (Z=79) film. Rutherford derived the scattering formula by treating an incident alpha particle and a Au target atom as two point charges with...

Hi everyone. I have a question about the calculation of Rutherford cross section in the context of QED. I know how to compute it using the usual four potential: $$ A_\mu(q)=(\frac{e}{q^2},0,0,0) $$ and taking the matrix element to be: $$ \mathcal{M}=\bar u_{s'}(p')\gamma_\mu...

I'm writing a program for simulating the angle distribution of scattered particles from a gold nucleus but I doubt the results. I don't know...But it would be very good if someone check it and give some hints. I also want to ask should I vary both initial speed and impact parameter in one...

Hi, My question is about the famous paper by E. Rutherford on the scattering of alpha particles (1911). The paper is easy to find on internet. Rutherford gives the formula for the electric field inside an atom, at a distance r from the nucleus (here reduced to a point): X = N e (1/r^2 - r/R^3)...

I know there are other things that fail about the rutherford atom but as the electron is accelerating and radiating away energy it would fall into the nucleus, my question is how much energy would the electron need to gain so that the classical atom could be stable a hydrogen atom for example

Hi, Homework Statement I performed the Rutherford experiment the other day, using Au thin foil of 2μm, a source/gun of α particles (241Am) and a detector/counter. α particles were shot from the source through a slit of 20mmX1mm (presumably attached to the foil, thus narrowing the effective...

Hello, I have just started reading my first chemistry book and have a question about Rutherford's experiment. As stated in the book: Thomson's model of the atom suggests that positive and negative charges were evenly distributed around the atom. Then Rutherford came with his experiment: he...

Homework Statement I'm trying to work out the derivation of the the Rutherford scattering trajectory. I understand the conservation of linear momentum, and that the only force acting is the coulomb force between the incoming particle and the target nucleus. Early on in the derivation I'm...

Homework Statement The fraction of 6.0 MeV protons scattered by a thin gold foil, of density 19.3 g/cm^3, from the incident beam into a region where scattering angles exceed 60° is equal to 2.0(10^-5). Calculate the thickness of the gold foil. Homework Equations...

Homework Statement We want to fin an expression for \theta, the Rutherford scattering angle. I have an expression that I derived for a hyperbolic trajectory, of the form \frac{(x+x_0)^2}{A^2}-\frac{y^2}{B^2} = 1. We wanted it in terms of α, ε, where α is a constant ( \alpha =...

Homework Statement Asked to calculate the relativistic correction, to the differential scattering cross section which is given by the equation below in terms of E, E0 and θ where E0= .511 MeV. with 100MeV electrons from an Au nuclei at certain angles θ. Homework Equations Relativistic...

Homework Statement Homework Equations If i can make that out its Ep=kq1q2/r where k is coloumbs constant The Attempt at a Solution Im a little confused how do i know the radius of the alpha particles? I was thinking its conservation of energy, Ep+Ek=Eka then try to solve for...

Hi I need to plot the (differential) Rutherford cross section as a function of the scattering angle in the CM frame. the reaction is a typical projectile on stationary target. I know the projectile energy in the lab, θcm and the masses. I am confused over which energy to use though. I know...

Hello everyone I have been supplied with this eqn n=\frac{Nat}{16r^2}(\frac{2Ze^2}{4\pi\epsilon_0E_K})^2cosec^4(\frac{\phi}{2}) for Rutherford scattering. N is the number of alpha particles incident on a unit area of foil t is the thickness of the foil a is the number of atoms...

Homework Statement Given variables and data: flux of alpha particles;Z; T-kinetic energy of the flux; t-thickness of the target.I have to calculate the number of alpha particles which are scattered in angle θ>60 degrees. Homework Equations 1) Is my formula correct ( see below) if I am...

Homework Statement I'm taking a graduate level course in classical mechanics that uses Goldstein's book. We are currently discussing scattering in a central field in chapter 3. Here are two problems that might be very basic/standard scattering problems, yet I'm not how to proceed or get...

Hi,everyone!I have a problem!As known to us all,in Rutherford scattering experiment α rays are used to bomb gold foil, and most of them pass through the gold foil.But today I read something about the characteristics of α particles,the book says that you can stop α rays with a piece of paper...

Homework Statement Hey I am revising for my physics test and am having a bit of trouble understanding rutherford's alpha scattering experiment. My teacher gave us a powerpoint but it does not seem to help me, more so it confuses me. I am a good physics student and not understanding this is...

differential cross section of coulomb scattering can be expressed as a form factor times Rutherford one, we model the charge we used spherically symmetric charge density, if we replace this point charge with other distribution like Gaussian , what is the difference between these two models, is...