College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 29, Problem 4P
(a)
To determine
What are the possible values of
(b)
To determine
What are the angles
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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/r²
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
The 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 Units
Chapter 29 Solutions
College Physics (10th Edition)
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
Ch. 29 - Prob. 1MCPCh. 29 - Prob. 2MCPCh. 29 - Prob. 3MCPCh. 29 - Prob. 4MCPCh. 29 - Prob. 5MCPCh. 29 - Prob. 6MCPCh. 29 - Prob. 7MCPCh. 29 - Prob. 8MCPCh. 29 - Prob. 9MCPCh. 29 - Prob. 10MCPCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - What is the ratio of the number of different 3d...Ch. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - For bromine (Z = 35), make a list of the number of...Ch. 29 - (a) Write out the electron configuration (1s2 2s2,...Ch. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27GPCh. 29 - Prob. 28GPCh. 29 - An electron has spin angular momentum and orbital...Ch. 29 - Prob. 30GPCh. 29 - Prob. 31GPCh. 29 - Prob. 32GPCh. 29 - Prob. 33GPCh. 29 - Prob. 34GPCh. 29 - Prob. 35GPCh. 29 - Prob. 36GPCh. 29 - Prob. 37GPCh. 29 - Prob. 38GPCh. 29 - Prob. 39PPCh. 29 - Prob. 40PPCh. 29 - Prob. 41PPCh. 29 - Prob. 42PP
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Similar questions
- Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², L₂ = m₂h, 1 = 0,1,2,..., n-1 m₁ = 0, +1, +2, ..., ±l 3 1 S² = s(s+1)h²=h², S₂ = m₂h = + = h +/-ħ 4 Consider an excited electron (n > 1) on an H-atom. What is the minimum angle 0min that the S can have with the z-axis? Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/Varrow_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_forward(a) Convert the decimal number Z into binary (8 bits) & hexadecimal numbers. Z=129 Convert the binary & hexadecimal numbers from part (a) into decimal number.arrow_forward
- Consider a simple model of the helium atom in which two electrons, each with mass m, move around the nucleus (charge +2e) in the same circular orbit. Each electron has orbital angular momentum U (that is, the orbit is the smallest-radius Bohr orbit), and the two electrons are always on opposite sides of the nucleus. Ignore the effects of spin. What is the potential energy of the system (the nucleus and the two electrons)?arrow_forwardVn 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 Unitsarrow_forwardProtons and neutrons are spin-1/2 particles in the nucleus. Find the average energy of the protons as well as the neutrons in the nucleus of a uranium atom, which contains 92 protons and 143 neutrons and has the shape of a sphere of radius of 7.4 × 10−15 m.arrow_forward
- (a) How many angles can L make with the z-axis for an l=2 electron? (b) Calculate the value of the smallest angle.arrow_forwardThe 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)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
- Consider a simple model of the helium atom in which two electrons, each with mass m, move around the nucleus (charge +2e) in the same circular orbit. Each electron has orbital angular momentum U (that is, the orbit is the smallest-radius Bohr orbit), and the two electrons are always on opposite sides of the nucleus. Ignore the effects of spin. What is the total kinetic energy of the electrons?arrow_forwarda) 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_forwardA 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.arrow_forward
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