University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 41, Problem 41.8E
(a)
To determine
The possible value of
(b)
To determine
for each value of
(c)
To determine
Maximum and minimum value of the angle between
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Chapter 39, Problem 043
In the ground state of the hydrogen atom, the electron has a total energy of -13.6 ev. What are (a) its kinetic energy and
(b) its potential energy if the electron is a distance 4.0a from the central nucleus? Here a is the Bohr radius.
(a) Number
Units
eV
(b) Number
Units
eV
An electron is in the hydrogen atom with n = 5.
(a) Find the possible values of L and Lz for this electron, in units of h.
(b) For each value of L, find all the possible angles between L → and the z-axis. (c) What are the maximum and minimum values of the magnitude of the angle between L →and the z-axis?
Vn
In the Bohr model of hydrogen, the electron moves in a circular orbit around the nucleus. Determine the angular
speed of the electron, in revolutions per second, when it is in (a) the ground state and (b) the n = 6 state.
(a)Number i
(b)Number i
Units
Units
Chapter 41 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 41.1 - Prob. 41.1TYUCh. 41.2 - Prob. 41.2TYUCh. 41.3 - Prob. 41.3TYUCh. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYUCh. 41.7 - Prob. 41.7TYUCh. 41.8 - Prob. 41.8TYUCh. 41 - Prob. 41.1DQCh. 41 - Prob. 41.2DQ
Ch. 41 - Prob. 41.3DQCh. 41 - Prob. 41.4DQCh. 41 - Prob. 41.5DQCh. 41 - Prob. 41.6DQCh. 41 - Prob. 41.7DQCh. 41 - In the ground state of the helium atom one...Ch. 41 - Prob. 41.9DQCh. 41 - Prob. 41.10DQCh. 41 - Prob. 41.11DQCh. 41 - Prob. 41.12DQCh. 41 - Prob. 41.13DQCh. 41 - Prob. 41.14DQCh. 41 - Prob. 41.15DQCh. 41 - Prob. 41.16DQCh. 41 - Prob. 41.17DQCh. 41 - Prob. 41.18DQCh. 41 - Prob. 41.19DQCh. 41 - Prob. 41.20DQCh. 41 - Prob. 41.21DQCh. 41 - Prob. 41.22DQCh. 41 - Prob. 41.23DQCh. 41 - Prob. 41.1ECh. 41 - Prob. 41.2ECh. 41 - Prob. 41.3ECh. 41 - Prob. 41.4ECh. 41 - Prob. 41.5ECh. 41 - Prob. 41.6ECh. 41 - Prob. 41.7ECh. 41 - Prob. 41.8ECh. 41 - Prob. 41.9ECh. 41 - Prob. 41.10ECh. 41 - Prob. 41.11ECh. 41 - Prob. 41.12ECh. 41 - Prob. 41.13ECh. 41 - Prob. 41.14ECh. 41 - Prob. 41.15ECh. 41 - Prob. 41.16ECh. 41 - Prob. 41.17ECh. 41 - Prob. 41.18ECh. 41 - A hydrogen atom in a 3p state is placed in a...Ch. 41 - Prob. 41.20ECh. 41 - Prob. 41.21ECh. 41 - Prob. 41.22ECh. 41 - Prob. 41.23ECh. 41 - Prob. 41.24ECh. 41 - Prob. 41.25ECh. 41 - Prob. 41.26ECh. 41 - Prob. 41.27ECh. 41 - Prob. 41.28ECh. 41 - Prob. 41.29ECh. 41 - (a) Write out the ground-state electron...Ch. 41 - Prob. 41.31ECh. 41 - Prob. 41.32ECh. 41 - Prob. 41.33ECh. 41 - Prob. 41.34ECh. 41 - Prob. 41.35ECh. 41 - Prob. 41.36ECh. 41 - Prob. 41.37ECh. 41 - Prob. 41.38ECh. 41 - Prob. 41.39PCh. 41 - Prob. 41.40PCh. 41 - Prob. 41.41PCh. 41 - Prob. 41.42PCh. 41 - Prob. 41.43PCh. 41 - Prob. 41.44PCh. 41 - Prob. 41.45PCh. 41 - Prob. 41.46PCh. 41 - Prob. 41.47PCh. 41 - Prob. 41.48PCh. 41 - Prob. 41.49PCh. 41 - Prob. 41.50PCh. 41 - Prob. 41.51PCh. 41 - Prob. 41.52PCh. 41 - Prob. 41.53PCh. 41 - Prob. 41.54PCh. 41 - Prob. 41.55PCh. 41 - Prob. 41.56PCh. 41 - Prob. 41.57PCh. 41 - Effective Magnetic Field. An electron in a...Ch. 41 - Prob. 41.59PCh. 41 - Prob. 41.60PCh. 41 - Prob. 41.61PCh. 41 - Prob. 41.62PCh. 41 - Prob. 41.63PCh. 41 - Prob. 41.64PCh. 41 - Prob. 41.65PCh. 41 - Prob. 41.66PCh. 41 - Prob. 41.67PCh. 41 - Prob. 41.68CPCh. 41 - Prob. 41.69CPCh. 41 - Prob. 41.70PPCh. 41 - Prob. 41.71PPCh. 41 - Prob. 41.72PPCh. 41 - Prob. 41.73PP
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- a) How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7? b)Calculate the smallest possible angle the L can make with respect to the vertical axis. (Hint: The smallest angle occurs when ml takes the maximum allowed value. Sketch L in that case and compare the vertical component, which is related to ml, to the magnitude of L, which is related to l.)arrow_forwardE (eV) -0.54 -0.85 n = ∞ n = 5 n = 4 -1.51 n = 3 -3.40 n = 2 -13.59 n = 1 The figure shows some energy levels of hydrogen. If the magnitude of the elementary charge were 10e instead of e, how would the ground state energy of hydrogen be affected?arrow_forwardChapter 39, Problem 049 How much work must be done to pull apart the electron and the proton that make up the hydrogen atom if the atom is initially in (a) its ground state and (b) the state with n = 3? (a) Number Units (b) Number Unitsarrow_forward
- As 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_forwardIt may be argued on theoretical grounds that the radius of the hydrogen atom should depend only on the fundamental constants h, e, the electrostatic force constant k = 1/4πℰ0, and m (the electron’s mass). Use dimensional analysis to show that the combination of these factors that yields a result with dimensions of length is h2kme2.arrow_forwardThe electron in a certain hydrogen atom has an angular momentum of 2.583×10−34 J.s. What is the largest possible magnitude for the z-component of the angular momentum of this electron? For accuracy, use h=6.626×10−34 J⋅s. find Number Unitsarrow_forward
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- Determine the distance between the electron and proton in an atom if the potential energy U of the electron is 13.8 ev (electronvolt, 1 eV -19 1.6 x 10 J). Give your answer in Angstrom (1 A = 10"1º m). Answer: Choose... + Next pagearrow_forwardFor a K*- CF ion pair, attractive and repulsive energies E, and ER, respectively, depend on the distance between the ions r, according to 1.436 E4 -- 5.8 x 10-6 ER = For these expressions, energies are expressed in electron volts per K*- Cl- pair, and r is the distance in nanometers. a) If the net energy EN is just the sum of the two expressions above: EN = E+ ER, Find the values of r, and E,? b) If curves of E,, ER and EN are plotted in given figure, compare E, the calculated values of ro and E, with that from the graph. -0.28 nm E,-4.6 eV 0.00 0 10 0.20 0.30 0.40 0.50 060 0.70 0.80 00 1.00arrow_forwardDetermine the average value of z? for the electron in a hydrogenic atom or ion in its ground state as a function of 4, where Z 1S the z-axis coordinate of the electron in a Cartesian coordinate system and is the atomic number of the atom or ionarrow_forward
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