College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28, Problem 13P
To determine
The expression of the electronic speed in nth Bohr orbit.
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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
The velocity of electron in the first
Bohr orbit of radius 0.5 A.U. is 2.24 x 106 m/s.
Calculate the period of revolution of the
electron in the same orbit.
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 = 1.6 × 10-19 J). Give your answer in
Angstrom (1 A = 10-10 m).
Answer:
Choose... +
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Chapter 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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- Determine 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_forwardAn electron revolves around the nucleus of an atom in a circular orbit of radius 4.0Å with a speed of 6.0 x 10^6 ms-1. Calculate the linear kinetic energy.arrow_forwardAn electron is orbiting around a nucleus in a hydrogen atom in Bohr 's model with kinetic energy of 8.64✕10-20 J. Determine the allowed orbit in this atom.arrow_forward
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- 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_forwardDetermine 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).arrow_forwardIf the speed of electron in the first Bohr orbit of radius 0.5 A is 2.24 × 106 m/s, then the period of revolution of the electron in this orbit is, (a) 1.403 × 10-16 S (b) 2.403 x 10-16 S (c) 1.403 × 10-¹1 S (d) 2.403 x 10-¹¹ Sarrow_forward
- An electron is orbiting around a nucleus in a hydrogen atom in Bohr 's model with kinetic energy of 8.64✕10-20 J. Determine the allowed orbit in this atom. (Given: Mass of electron, me=9.1✕10-31 kg)arrow_forwardq; An electron and a proton are a distance r = 7.5×〖10〗^(-9) m apart. How much energy is required to increase their distance of separation by a factor of two?arrow_forwardChapter 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 eVarrow_forward
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