AlphaparticleGoldnucleus An alpha particle (atwo protons, two neutrons) moves into a stationary goldatom (Au = 79 protons, 118 neutrons), passing through the electron region that surroundsthe gold nucleus like a shell and headed directly toward the nucleus (see below). The alphaparticle slows until it momentarily stops when its center is at radial distance rfrom the nuclear center. Then it moves back along its incoming path. (Because the goldnucleus is much more massive than the alpha particle, we can assume the gold nucleus doesnot move.) What was the kinetic energy K; of the alpha particle when it was initially faraway (hence external to the gold atom)? Assume that the only force acting between thealpha particle and the gold nucleus is the (electrostatic) Coulomb force and treat each asa single charged particle.9.23 fmIt was actually experiments like this, performed between 1908 and 1913 by Hans Geigerand Ernest Marsden, under the direction of Ernest Rutherford at the Physical Laborato-ries of the University of Manchester in England, that formed the basis of the discovery ofthe atomic nucleus. Rutherford, who would go on to win the Nobel Prize in Chemistry,recounted later: “It was quite the most incredible event that has ever happened to me inmy life. It was almost as incredible as if you fired a 15-inch shell at a piece of tissue paperand it came back and hit you.’

Mass of alpha particle (m) = 4 u charge on alpha particle (q) = 2 e charge on gold atom (Q) = 79…

Answered: An alpha particle (a : = two protons,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A 0.7 mm diameter superconducting wire is composed of half copper and half superconductor. At 3.2 T it is capable of carrying 2110 Amps. Assume 4.5 cm of that wire slides perpendicularly to the magnetic field due to the Lorentz forces. How far, in meters, did the wire slide to generate 0.002 J heat, assuming all the frictional energy was converted to heat in the section of wire?
Home | bartleby ong that n245qhp7a?filename=Bord%2C%20Donald%20J. Ostdiek%2C%20 ich the on n the g orbit ies of rent ld be 434 osphere sity of an has eric eriod of How long al allowed × New tab of 562 5. In the Bohr model for hydrogen, the radius of the nth orbit can be shown to be »² times the radius of the first Bohr orbit = 0.05 nm (see Example 10.3). Similarly, the energy of an electron in the nth orbit is times its energy when in the - 1 orbit. What is the circumference of the n = 100 orbit? (This is the distance the electron has traveled after having revolved around the proton once.) For such large-n states, the orbital frequency is about equal to the frequency of the photon emitted in a transition from the nth level to an adjacent level with n + 1 or n - 1. Given this, find the frequency and corresponding period of the electron's orbit by computing the frequency associated with the transition 100 to n = 101. Using your values for the electron's orbital size (distance) and travel…
Determine the distance between the electron and proton in an atom if the potential energy UU of the electron is 11 eV (electronvolt, 1 eV =1.6×10−19=1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).
Determine the distance between the electron and proton in an atom if the potential energy ?U of the electron is 16 eV (electronvolt, 1 eV =1.6×10−19=1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).
If a proton and electron are released when they are 2.0 m apart, find the initial acceleration of electron (in m/s2). The answer (in fundamental SI unit) is ___________ (type the numeric value only)
Suppose a cyclotron is operated at an oscillator frequency of 11.2 MHz and has a dee radius 41.9 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 60.4 kV. The deuteron mass is m = 3.34 × 10-27 kg.
Each of 2N electrons (mass m) is free to move along the x-axis. The potential energy for each electron is U(x) = kx², where k is a positive constant. The electric and magnetic interactions between electrons are ignored. Use the exclusion principle and find the minimum energy of the system of 2N electrons.
In an oil-drop experiment similar to Millikan’s, an oil droplet is suspended between two parallel, charged plates. Calculate the magnitude of the charge on the oil droplet if the radius of the oil drop is 4.2 x 10^-6 m, the density of the oil is 7.8 x 10^-2 g/m^3, the distance between the plates is 2.0 cm, and the potential difference between the plates is 99 V.
10. An electron has been placed at the origin. The grid spacing is 1 Angstrom per small square this time. Now you have a nucleus with 18 protons at x = 2.1 Angstroms on the x-axis. How much work would it take to bring in ANOTHER nucleus with 14 protons from 1 m away and place it at y = 8.0 Angstroms on the y-axis? 165.2 eV 413.1 eV -25.2 eV 438.2 eV
10) Now you have a nucleus with 13 protons at x = 6.2 Angstroms on the x-axis. How much work would it take to bring in ANOTHER nucleus with 7 protons from 1 m away and place it at y = 8.0 Angstroms on the y-axis? 70.0 eV 116.7 eV -12.6 eV 129.3 eV
Robert Millikan was an American physicist who in 1909 performed a classic experiment involving charged oil drops. Millikan adjusted the voltage applied between two metal plates in order to suspend charged drops in the resulting electric field. For a suspended drop, the electrostatic force directed up exactly balances out the weight of the drop. Millikan ultimately determined the charge on an electron and that charge is quantized. This means that charge comes in increments, discrete amounts, rather than any amount.A NEGATIVELY-charged oil drop is suspended between two plates of opposite charge by an electric field of 603 newtons per coulomb. The drop is determined to have a mass of 8.86 x 10-17 kilograms. a. What is the charge on the drop? Include units in your answer.
What two pieces of evidence allowed the first calculation of me , the mass of the electron?(a) The ratios qe / me and q p / m p .(b) The values of qe and EB .(c) The ratio qe / me and qe .Justify your response.

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