The proton (mass M) and electron (mass m) in a hydrogen atom actually rotate about their common center of mass as shown in Figure .The distance r = re + rM is still deﬁ ned to be the electron-nucleus distance. Show that Equation is only modiﬁ ed by substituting for m by TeFigure 4.17 Because the nu-Mcleus does not actually have anNucleusmeElectroninfinite mass, the electron andCenter of massnucleus rotate about a commoncenter of mass that is located verynear the nucleus. This diagram isa very simplistic view of a hydro-gen atom. m1 + m/М||

The radius of the nth orbit is r=4πε0ℏ2μe2n2 Here, r is the electron nucleus distance. The distance…

Answered: Te Figure 4.17 Because the nu- M cleus…

Similar questions

If the radius of a calcium ion is 0.27 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.
A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3. What is the energy of the absorbed photon?
A certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and transitioning to the ground state. What is the uncertainty in the frequency of the photon in Hz?
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).
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.
Problem 7: The electric potential near a hydrogen atom can be modeled as the equation to the right where ao is the Bohr radius and q is the charge on the central proton. V (r) exp(- 2r/a,)(1 +a/r) Randomized Variables m = 2 n = 3 Part (a) Find an expression for the 0-component of the electric field, Eg. Numeric : A numeric value is expected and not an expression. Eg = Part (b) Find an expression for the o-component (azimuthal) of the electric field, Eo Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, a, b, c, d, g, h, j, k, m, P, S, t Part (c) What is the change in the magnitude of the electric field (in N/C) if a test point moves from the position (x = m²ao, y = 0, z = 0) to position (x = n-ao, y = 0, z = 0). Numeric : A numeric value is expected and not an expression. ΔΕ Ξ
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

Te Figure 4.17 Because the nu- M cleus does not actually have an Nucleus me Electron infinite mass, the electron and Center of mass nucleus rotate about a common center of mass that is located very near the nucleus. This diagram is a very simplistic view of a hydro- gen atom. m 1 + m/М ||