The wave function of a hydrogen atom is in an excited state is: 3-1/2 Ys21 = (mao)2 (r19as)² exp(-r/3ao) sine cos0 e". (a) What is the most probable value of r in this state? How does it relate to the Bohr model prediction for the radius? (b) What is the magnitude of the orbital angular momentum in this state? How does it compare with the Bohr model prediction? (c) Find the orientation of the orbital angular momentum in this state.
The wave function of a hydrogen atom is in an excited state is: 3-1/2 Ys21 = (mao)2 (r19as)² exp(-r/3ao) sine cos0 e". (a) What is the most probable value of r in this state? How does it relate to the Bohr model prediction for the radius? (b) What is the magnitude of the orbital angular momentum in this state? How does it compare with the Bohr model prediction? (c) Find the orientation of the orbital angular momentum in this state.
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Transcribed Image Text:The wave function of a hydrogen atom is in an excited state is:
-1/2
W221 = ( m6°)"2 (r/9a) exp(-r/3ao) sin0 cose e“.
(a) What is the most probable value of r in this state? How does it relate to the Bohr model
prediction for the radius?
(b) What is the magnitude of the orbital angular momentum in this state? How does it compare with
the Bohr model prediction?
(c) Find the orientation of the orbital angular momentum in this state.
(d) What is the shortest wavelength photon that the atom can emit making an allowed transition?
Identify the terminal state (in Whilm form) and justify why the transition is allowed,
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