31. In example 23 of the 6th exercise the Coulomb force acting on an electron in a distance r = 0.529x10-10 m to a proton (corresponds to the radius of a hydrogen atom) was calculated. a) What is the electric field and electric potential at this distance (reference potential = 0 V for infinite distance)? What is the electric potential energy of an electron at this distance? b) What is the kinetic energy (in eV) of an electron which moves on a circular orbit with that radius around the proton? What is the ionisation energy (in eV) of the hydrogen atom (energy which is needed to remove the electron fully from the proton)?

University Physics Volume 3
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Chapter9: Condensed Matter Physics
Section: Chapter Questions
Problem 62P: Compare the density of states at 2.5 eV and 0.25 eV.
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31a: 5.14E11 V/m, 27.2 V, 27.2 eV = 4.35E-18J; 31b: 13.6 eV, 13.6 eV;
Transcribed Image Text:31a: 5.14E11 V/m, 27.2 V, 27.2 eV = 4.35E-18J; 31b: 13.6 eV, 13.6 eV;
31. In example 23 of the 6th exercise the Coulomb force acting on an electron in a distance
r = 0.529x10-10 m to a proton (corresponds to the radius of a hydrogen atom) was calculated.
a) What is the electric field and electric potential at this distance (reference potential = 0 V for infinite
distance)? What is the electric potential energy of an electron at this distance?
b) What is the kinetic energy (in eV) of an electron which moves on a circular orbit with that radius
around the proton? What is the ionisation energy (in eV) of the hydrogen atom (energy which is needed
to remove the electron fully from the proton)?
Transcribed Image Text:31. In example 23 of the 6th exercise the Coulomb force acting on an electron in a distance r = 0.529x10-10 m to a proton (corresponds to the radius of a hydrogen atom) was calculated. a) What is the electric field and electric potential at this distance (reference potential = 0 V for infinite distance)? What is the electric potential energy of an electron at this distance? b) What is the kinetic energy (in eV) of an electron which moves on a circular orbit with that radius around the proton? What is the ionisation energy (in eV) of the hydrogen atom (energy which is needed to remove the electron fully from the proton)?
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