Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 6P
To determine
The change in the wavelength of the characteristic x-rays when the energy of the electrons stricking the target is increased.
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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 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).
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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- 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_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_forwardDetermine the distance between the electron and proton in an atom if the potential energy U of the electron is 13 eV (electronvolt, 1 eV = 1.6 x 10-19 J). Give your answer in Angstrom (1 A = 10-10 m). Answer: Choose... +arrow_forward
- Show that the speed of the electron in the nth Bohr orbit in hydrogen is given byarrow_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_forwardShow that the speed of the electron in the nth Bohr orbit in hydrogen is given by υn = (kee2)/(nh)arrow_forward
- 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 eVarrow_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_forwardIn hydrogen atoms the energy of the electron in the first Bohr orbit is – 1312 × 105 J mol–1. Determine the energy required for the excitation to the second Bohr orbit.arrow_forward
- A particular Bohr orbit in a hydrogen atom has a total energy of-0.85 eV. What are (a) the kinetic energy of the electron in thisorbit and (b) the electric potential energy of the system?arrow_forward(a) Calculate the angular momentum of the Moon due to its orbital motion about Earth. In your calculation use 3.84 × 108 m as the average Earth- Moon distance and 2.36 × 106 s as the period of the Moon in its orbit. (Use 7.36 × 1022 kg for the mass of the moon.) kg. m²/s 2.889e34 (b) If the angular momentum of the moon obeys Bohr's quantization rule (L: nh) determine the value of the quantum number, n. 2.7395e68 (c) By what fraction would the Earth-Moon radius have to be increased to increase the quantum number by 1? 1.825e-69 X Your response differs from the correct answer by more than 10%. Double check your calculations.arrow_forwardChapter 4- questn-23 The position of an electron is given by i = 3.0tî – 4.0t2j + 2.0k , where r is in meter, t is in second. What is the angle between i and +x axis at t=2s. Option 1 Option 2 Option 3 Option 4 Option 5 78.4° 79.4° 80.4° 81.4° 82.4°arrow_forward
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