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h = 6.63x10-34 Js, = h/(2TT), hc = 1240 eV nm ao = 0.053 nm G = 6.67x10-11 Nm²/kg² 1. The Bohr model predicts that a hydrogen atom will have discrete orbital 'stationary' states, given by E=-13.6eV/n², where n = 1,2,3... A) Determine the lowest three stationary state energies of this atom, in eV. B) Calculate the wavelength of the photon produced as the electron drops from n=3 to n=2. C) Determine the change in angular momentum of the electron in part (B), according to the Bohr Model. D) Calculate the de Broglie wavelength of the electron at n=2. E) A photon is absorbed by this atom when the electron is at its ground state, causing it to escape the nucleus. (This is called 'ionization'). Calculate the maximum wavelength of this photon

h = 6.63x10-34 Js, = h/(2TT), hc = 1240 eV nm ao = 0.053 nm G = 6.67x10-11 Nm²/kg² 1. The Bohr model predicts that a hydrogen atom will have discrete orbital 'stationary' states, given by E=-13.6eV/n², where n = 1,2,3... A) Determine the lowest three stationary state energies of this atom, in eV. B) Calculate the wavelength of the photon produced as the electron drops from n=3 to n=2. C) Determine the change in angular momentum of the electron in part (B), according to the Bohr Model. D) Calculate the de Broglie wavelength of the electron at n=2. E) A photon is absorbed by this atom when the electron is at its ground state, causing it to escape the nucleus. (This is called 'ionization'). Calculate the maximum wavelength of this photon

Modern Physics
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter8: Quantum Mechanics In Three Dimensions
Section: Chapter Questions
Problem 18P
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h = 6.63x10-34 Js, = h/(2T), hc = 1240 eV nm ao = 0.053 nm G = 6.67x10-11 Nm²/kg² 1. The Bohr model predicts that a hydrogen atom will have discrete orbital 'stationary' states, given by E=-13.6eV/n², where n = 1,2,3... A) Determine the lowest three stationary state energies of this atom, in eV. B) Calculate the wavelength of the photon produced as the electron drops from n=3 to n=2. C) Determine the change in angular momentum of the electron in part (B), according to the Bohr Model. D) Calculate the de Broglie wavelength of the electron at n=2. E) A photon is absorbed by this atom when the electron is at its ground state, causing it to escape the nucleus. (This is called 'ionization'). Calculate the maximum wavelength of this photon
Transcribed Image Text:h = 6.63x10-34 Js, = h/(2T), hc = 1240 eV nm ao = 0.053 nm G = 6.67x10-11 Nm²/kg² 1. The Bohr model predicts that a hydrogen atom will have discrete orbital 'stationary' states, given by E=-13.6eV/n², where n = 1,2,3... A) Determine the lowest three stationary state energies of this atom, in eV. B) Calculate the wavelength of the photon produced as the electron drops from n=3 to n=2. C) Determine the change in angular momentum of the electron in part (B), according to the Bohr Model. D) Calculate the de Broglie wavelength of the electron at n=2. E) A photon is absorbed by this atom when the electron is at its ground state, causing it to escape the nucleus. (This is called 'ionization'). Calculate the maximum wavelength of this photon
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