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Author Question: Which of the following would not have significant effect on the probability distribution of position ... (Read 81 times)

storky111

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on: Jul 28, 2018
Which of the following would not have significant effect on the probability distribution of position of an electron (in a given combination of quantum numbers) in the hydrogen atom?
 
  a.the angle theta
 

b. the azimuthal angle probability distribution
  c. the spherical harmonic for that combination of angular momentum and magnetic quantum numbers
  d. the radial wave equation for that combination of principal and angular momentum quantum numbers
  e. the distance from the nucleus


 

Question 2

The gyromagnetic ratio
 
a.is 1 for the magnetic moment associated with the spin and 2 for the magnetic moment associated with the angular momentum.
  b.relates the Bohr magneton to the elementary charge.
  c. does not help explain the result of the Stern and Gerlach experiment.
  d. relates the magnetic moments of spin and angular momentum to the total angular momentum.
  e.gives the values of intrinsic spin quantum number of the electron as 1/2 and -1/2


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xthemafja

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Reply #1 on: Jul 28, 2018
Answer to Question 1

b.
Around the z-axis, there is symmetry due to the canceling out of exponentials in the azimuthal solution to Schrdinger's equation.

Answer to Question 2

d.
The gyromagnetic ratio does relate the magnetic moments of spin and angular momentum to the total angular momentum


storky111

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Reply #2 on: Jul 28, 2018
Thank you!


xthemafja

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Reply #3 on: Jul 28, 2018
Always glad to help...


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