EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 37, Problem 76GP
To determine
The proof that the magnitude of the electrostatic potential energy of an electron in any Bohr orbit of a hydrogen atom it twice the magnitude of its kinetic energy in that 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
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?
The electron of a hydrogen atom is in an orbit with radius of 8.46 Å (1 Å = 10-10 m), according to the Bohr model. Which of the following statements is correct?
a) The total energy of the orbit is –13.6 eV, and the kinetic energy is +13.6 eV.
b) The total energy of the orbit is –0.85 eV, and the potential energy is –1.70 eV.
c) The total energy of the orbit is –0.85 eV, and the potential energy is +1.70 eV.
d) The total energy of the orbit is –0.85 eV, and the potential energy is –0.85 eV.
e) The total energy of the orbit is –3.40 eV, and the potential energy is –6.80 eV.
Chapter 37 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4QCh. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10Q
Ch. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 1PCh. 37 - Prob. 3PCh. 37 - Prob. 7PCh. 37 - Prob. 9PCh. 37 - Prob. 13PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 32PCh. 37 - Prob. 34PCh. 37 - Prob. 37PCh. 37 - Prob. 45PCh. 37 - Prob. 52PCh. 37 - Prob. 76GPCh. 37 - Prob. 77GP
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- 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.arrow_forwardThe gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.arrow_forwardWhat is the potential energy of an electron and a proton in a hydrogen atom if the distance between them is 5.3 x 10^-11 m? How much work is done by a silver nucleus with atomic number Z=47 with a potential difference of 220V?arrow_forward
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