The H-vector for an oscillating electric dipole is given by H= {[cp,ei@(* - rle)]/4ar?}[i(t/r) - 1] sir Thow thet th
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![The H-vector for an oscillating electric dipole is given by
H= {[cp,ei@(t- rle)]/4tr?}[i(X/r) - 1] sine o.
Show that the phase velocity of this wave is v= c[1+ (X/r)], and thus that v> c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F610ebcba-27cf-4966-a926-4f193b83cd09%2F2ecc4b5d-9cc7-408d-84e7-bc8a31517393%2Futqspea_processed.png&w=3840&q=75)
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- 19.7 The variation principle can be used to formulate the wavefunctions of electrons in atoms as well as molecules. Suppose that the function Wma = N(a)e* with N(a) the normalization constant and a an adjustable parameter, is used as a trial wavefunction for the 1s orbital of the hydrogen t atom. Show that 3ah? 2a - 2e E(a)=- where e is the fundamental charge, and µ is the reduced mass for the atom. What is the minimum energy associated with this trial wavefunction?If the speed of the electron in Example 19-4 were 7.3 * 105m>s,what would be the corresponding orbital radius?Ans to the following questions
- 1. An electron moving in a conjugated bond framework can be viewed as a particle in a box. An externally applied electric field of strength & interacts with the electron in a fashion described by the perturbation: V(r) = ee (x - 1) Where x is the position of the electron in the box, e is the electron charge, and Lis the length of the box. (a) Compute the first order correction to the energy (b) The first order correction to the wave-function (compute only the contribution to Y made by Y2)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.A certain atom has 91 protons. Assume that the nucleus is a sphere with radius 7.18 fm and with the charge of the protons uniformly spread through the sphere. At the nucleus surface what are (a) the magnitude and (b) direction (radially inward or outward) of the electric field produced by the protons?
- What acceleration voltage is required to increase the kinetic energy of electrons by 147 eV.2 D -e Physical constants (A) (in m) Bohr Model mv² - h = 6.626 x 10-34 Js; Ke² = 2.307 x 10-28 Jm; m = 9.11 x 10-31 kg. The old Bohr model of the hydrogen atom was based on... (1) the assumption that the electron travels on a circle (A) What is the radius of the orbit with n = 5? (B) What is the speed of the orbit with n = 5? Ke² ra and obeys Newton's second law, and (2) the hypothsis that angular momentum is quantized. For the Bohr model, (1) mvr = n (2) 27 OA: 2.774x10-10 OB: 3.468x10-10 OC: 4.334x10-10 OD: 5.418x10-10 DE: 6.773x10-10 OF: 8.466x10-10 OG: 1.058x109 OH: 1.323x10-9 Submit Answer Tries 0/20