Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question
Chapter 39, Problem 70P
To determine
To find:
a) Constant A.
b) The magnitude of the atom’s electric field at
c) The direction of the atom’s electric field at
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A hydrogen atom can be considered as having a central pointlike proton of positive charge e and an electron of negative charge -e that is distributed about the proton according to the volume charge density r = A exp(-2r/a0). Here A is a constant, a0 = 0.53 *10-10 m, and r is the distance from the center of the atom. (a) Using the fact that the hydrogen is electrically neutral, find A. Then find the (b) magnitude and (c) direction of the atom’s electric field at a0.
A hydrogen atom consist of a positively charged nucleus (+e)) and a negatively charged electron (-e). In
quantum physics the electron is described as a "cloud" surrounding the nucleus. In the ground state, the
electron cloud is defined as a continuous charge density.
-2r
p(r)
паз
Where a is the Bohr radius, q is the charge of the electron and r is the sph
origin, is set on the nucleus.
erical coordinate defined as the
What is the total charge (electric monopole) defined by the function p(r). Note: in your
calculation r should go from the origin to infinity.
(i)
(ii)
Given that the atom is neutral, does the answer in (i) make sense? Why?
(iii)
What is the electric dipole defined by the function p(r).
The nucleus of a hydrogen atom is a single proton, which has a radius of about 1.1 × 10-15 m. The single electron in a
hydrogen atom orbits the nucleus at a distance of 5.3 x 10-¹1 m. What is the ratio of the density of the hydrogen nucleus
to the density of the complete hydrogen atom?
Number i 1.12E+13
Units
(no units)
Chapter 39 Solutions
Fundamentals of Physics Extended
Ch. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10Q
Ch. 39 - Prob. 11QCh. 39 - Prob. 12QCh. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PCh. 39 - Prob. 62PCh. 39 - Prob. 63PCh. 39 - Prob. 64PCh. 39 - A diatomic gas molcculc consistsof two atoms of...Ch. 39 - Prob. 66PCh. 39 - Prob. 67PCh. 39 - Prob. 68PCh. 39 - Prob. 69PCh. 39 - Prob. 70PCh. 39 - An old model of a hydrogen atom has the charge e...Ch. 39 - Prob. 72PCh. 39 - Prob. 73P
Knowledge Booster
Similar questions
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rh has charge -Q. srb The electric field E at a radial distance r from the central axis is given by the function: E = ge/d0 + B/r + bo where alpha (a)., beta (8), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Voh between the two conductors. The potential difference is related to the electric field by: Edr = - Edr Calculating the antiderivative or indefinite integral, Vab = (-aageao + B + bo By definition, the capacitance Cis related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e""b/ao - eTala0) + ß In ) + bo (arrow_forwardA 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?arrow_forward2arrow_forward
- A certain atom has 76 protons. Assume that the nucleus is a sphere with radius 6.63 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? Units (a) Number (b)arrow_forwardAs per Bohr model of a hydrogen atom for a stable orbit centripetal, Coulomb, and all forces should be in equilibrium. Therefore, for an electron with mass me and speed v₁ on the nth orbit with radius rn, (k being Coulomb/s constant) mevn = ke²/rn mevn² = ke²/rn mevn²/rn = ke²/rn 2.2 Ome²v² = ke²/r²arrow_forwardAssume that a room at sea level is filled with a gas of nitrogen molecules N2 in thermal equilibrium at -10.0 °C (negative ten degrees Celsius). There are 7 protons and 7 neutrons in the nucleus of a nitrogen atom N. You may take the masses of the proton and the neutron to be the same, and ignore the mass of the electrons. 1 atm=1.01x105 N/m² , h=1.05x10-34 J-s , mp=1.67x10-27 kg, kB = 1.38x10-23 J/K . a) What is the (particle) number density n according to the ideal gas law? b) Compare the number density n with the quantum concentration ng at the same temperature. c) Is the gas in the classical or quantum regime?arrow_forward
- 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 0/20arrow_forward13.10 If the radial momentum p, and radial velocity a, for an electron in a central potential are defined by r.p-ih a.r Pr = Xr= " r r show that ihk Ba, (ap) = ar Pr + r B(o'. L + h) where k = ħarrow_forwardA certain atom has a radius of 2.7 X 10-1 nm and a mass of 2.21 X 10-22 g. What is the density of the atom? Assume that the atom is a sphere. The volume of a sphere is given by: ?=43??3V=43πr3 where r is the radius and ?=3.14arrow_forward
- Choose the correct spherical polar coordinates for the following figures: = (i) r=2, 3 (ii) (i) r=2, 3 z=3 (iii) 6= 8= 3 (ii) 3.2-3 (iii) (i) r=2,- (i) 6 = 3,2-3 (iii) 0- 6= 5x 小 4 411 14 # 16 DOLL S 4支 % 5€ 4 包arrow_forward1. (a) Calculate the divergence of ā = x'â +2y' zŷ +3zx2. . 2 8 2yZY+ Le t x x xe=A 3zx2 2 1 3 2 = 2x :+4yZ + 3x 4 5 8/8 5 3 T 26 40 (b) Calculate the curl of b = x y & + 2y zŷ + 3zx2. Vx Z = ze 32X 2yZ 2yZ- XY -(0-2)2-(32- 0) 4 +(0 - x)2 =62y1-62)9-6)Źarrow_forwardDetermine the distance between the electron and proton in an atom if the potential energy ?U of the electron is 12.6 eV (electronvolt, 1 eV =1.6×10−19=1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax