Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 31, Problem 12PCE
To determine
The arrangement of given atoms in increasing order of Bohr radius.
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Explain the physics behind the fourth assumption in Bohr's atomic model, i.e.,
mevr-nh/2, where me and v are the mass and velocity of electron around the nucleus,
respectively, r is the radius of an allowed orbit, n is an integer and h is the Plank constant.
Consider the Bohr model as applied to the following
three atoms:
(A) neutral hydrogen in the state n = 2;
(B) singly ionized helium in the state n = 1;
(C) doubly ionized lithium in the state n = 3.
Part A
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Rank these three atoms in order of decreasing orbital radius.
Rank atoms from largest to smallest Bohr radius. To rank items as equivalent, overlap
them.
Largest
P Pearson
atom A
atom B
atom C
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Smallest
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7:18 PM
12/11/2022
Consider the Bohr model as applied to the following threeatoms: (A) neutral hydrogen in the state n = 2; (B) singly ionizedhelium in the state n = 1; (C) doubly ionized lithium in the staten = 3. Rank these three atoms in order of increasing Bohr radius.Indicate ties where appropriate.
Chapter 31 Solutions
Physics (5th Edition)
Ch. 31.1 - Prob. 1EYUCh. 31.2 - Prob. 2EYUCh. 31.3 - Prob. 3EYUCh. 31.4 - Prob. 4EYUCh. 31.5 - Prob. 5EYUCh. 31.6 - Prob. 6EYUCh. 31.7 - Prob. 7EYUCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQ
Ch. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 1PCECh. 31 - Prob. 2PCECh. 31 - Prob. 3PCECh. 31 - Prob. 4PCECh. 31 - Prob. 5PCECh. 31 - Prob. 6PCECh. 31 - Prob. 7PCECh. 31 - Prob. 8PCECh. 31 - Prob. 9PCECh. 31 - Prob. 10PCECh. 31 - Prob. 11PCECh. 31 - Prob. 12PCECh. 31 - Prob. 13PCECh. 31 - Prob. 14PCECh. 31 - Prob. 15PCECh. 31 - Prob. 16PCECh. 31 - Prob. 17PCECh. 31 - Prob. 18PCECh. 31 - Prob. 19PCECh. 31 - Prob. 20PCECh. 31 - Prob. 21PCECh. 31 - Prob. 22PCECh. 31 - Prob. 23PCECh. 31 - Prob. 24PCECh. 31 - Prob. 25PCECh. 31 - Prob. 26PCECh. 31 - Prob. 27PCECh. 31 - Prob. 28PCECh. 31 - Prob. 29PCECh. 31 - Prob. 30PCECh. 31 - Prob. 31PCECh. 31 - Prob. 32PCECh. 31 - Prob. 33PCECh. 31 - Prob. 34PCECh. 31 - Prob. 35PCECh. 31 - Prob. 36PCECh. 31 - Prob. 37PCECh. 31 - Prob. 38PCECh. 31 - Prob. 39PCECh. 31 - Prob. 40PCECh. 31 - Prob. 41PCECh. 31 - Prob. 42PCECh. 31 - Prob. 43PCECh. 31 - Prob. 44PCECh. 31 - Prob. 45PCECh. 31 - Prob. 46PCECh. 31 - Prob. 47PCECh. 31 - Prob. 48PCECh. 31 - Prob. 49PCECh. 31 - Prob. 50PCECh. 31 - Prob. 51PCECh. 31 - Prob. 52PCECh. 31 - Give the electronic configuration for the ground...Ch. 31 - Prob. 54PCECh. 31 - Prob. 55PCECh. 31 - Prob. 56PCECh. 31 - The configuration of the outer electrons in Ni is...Ch. 31 - Prob. 58PCECh. 31 - Prob. 59PCECh. 31 - Prob. 60PCECh. 31 - Prob. 61PCECh. 31 - Prob. 62PCECh. 31 - Prob. 63PCECh. 31 - Prob. 64PCECh. 31 - Prob. 65PCECh. 31 - Prob. 66PCECh. 31 - Prob. 67PCECh. 31 - Prob. 68GPCh. 31 - Prob. 69GPCh. 31 - Prob. 70GPCh. 31 - Prob. 71GPCh. 31 - Prob. 72GPCh. 31 - Prob. 73GPCh. 31 - Prob. 74GPCh. 31 - Prob. 75GPCh. 31 - Prob. 76GPCh. 31 - Prob. 77GPCh. 31 - Prob. 78GPCh. 31 - Prob. 79GPCh. 31 - Prob. 80GPCh. 31 - Prob. 81GPCh. 31 - Prob. 82GPCh. 31 - Prob. 83GPCh. 31 - Prob. 84PPCh. 31 - Prob. 85PPCh. 31 - Prob. 86PPCh. 31 - Prob. 87PPCh. 31 - Prob. 88PPCh. 31 - Prob. 89PP
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- Explain why spectral lines of the hydrogen atom are split by an external magnetic field. What determines the number and spacing of these lines?arrow_forwardA hydrogen atom is placed in a magnetic field. Which of the following quantities are affected? (a) total energy; (h) angular momentum; (c) z-component of angular momentum; (d) polar angle.arrow_forwardFor an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forward
- The electron in the hydrogen atom (in its ground state) orbits the nucleus at a distance of 0.5292 Å. (a) Calculate the gravitational force and (b) the electrostatic force of attraction between the two. (c) Comment on the magnitude and the importance of these two forces. [G, gravitational constant = 6.672 x 10-11 N m2 kg-2; 4πЄo = 1.113 x 10-10 C2 m-1 J-1]arrow_forwardThe distance r between the electron and the nucleus in a hydrogenatom (in its lowest energy state) is a random variable with probability density p(r) = 4a03r2e- 2r/ao for r > 0, where ao is the Bohr radius (Figure 8). Calculate the probability P that the electron is within one Bohrradius of the nucleus. The value of a0 is approximately 5.29 x 10- 11 m,but this value is not needed to compute P.arrow_forwardConsider a hydrogen atom in its 1s state (ground state) and assume (for simplicity) that the electron and the proton are separated by a constant distance a, = 5.292 × 10–1'm (called the Bohr radius). (a) Calculate the gravitational force between these two charges. (use: Fg = G"m2) (b) Calculate the electric force between these two charges. (use: Fe = k«l&i[IQzl) (c) Calculate the ratio of these two forces to appreciate the strength of the electric force in comparison to the gravitational force.arrow_forward
- Someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter. How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^(-15) m. ra=?arrow_forwardThe energy E of the electron in a hydrogen atom can be calculated from the Bohr formula: R 23 n² E In this equation R, stands for the Rydberg energy, and 12 stands for the principal quantum number of the orbital that holds the electron. (You can find the value of the Rydberg energy using the Data button on the ALEKS toolbar.). Calculate the wavelength of the line in the absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with n=5 to an orbital with n=9. Round your answer to 3 significant digits. 0 Line X Sarrow_forward
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