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Standing Waves & The Schrödinger Equation (College)

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Standing Waves & The Schrödinger Equation

1. 
Which of the following correctly describes electrons as being standing waves?
  1. Standing waves propagate only through space
  2. Standing waves are fixed at one end
  3. Standing waves are fixed at both ends
  4. None of the above
2. 
Which of the following describes the energy quantities involved in the electrons in different energy levels of an atom?
  1. Indistinct energy quantities
  2. Varying energy quantities
  3. Fixed energy quantities
  4. Both (a) and (b)
3. 
Which of the following equations correctly represents the motion of one particle along the x-axis in space?
  1. [math]h^2/{4π^2m} {d^2psi}/{dx^2} + Vpsi = Epsi[/math]
  2. [math]-h^2/{4π^2m} {d^2psi}/{dx^2} + Vpsi = Epsi[/math]
  3. [math]h^2/{8π^2m} {d^2psi}/{dx^2} + Vpsi = Epsi[/math]
  4. [math]-h^2/{8π^2m} {d^2psi}/{dx^2} + Vpsi = Epsi[/math]
4. 
Which of the following correctly describes one implication of the solution to Schrödinger's equation?
  1. Energy occurs in half-number multiples
  2. Energy always only contains one value
  3. Energy occurs in whole-number multiples
  4. Energy occurs in quarter-number multiples
5. 
Which of the following is represented by [math]|psi^2|[/math]?
  1. Wave functions, also known as orbitals
  2. A probability distribution
  3. The energy of the particle
  4. (b) and (c)
6. 
On an electron density map, how can one discern the most probable location of an electron?
  1. By the region that is most intense and darkest
  2. By the region that is light and dark
  3. By the region that is lightest
  4. None of the above
7. 
Which of the following correctly represents a distinct feature of orbitals?
  1. They represent circular orbits
  2. They represent randomized regions of electrons
  3. They do not represent circular orbits, but rather probabilistic regions of electrons
  4. (a) and (b)
8. 
Which of the following represents the simplified function involved in the Schrödinger Equation?
  1. [math]hat Hpsi=E/psi[/math]
  2. [math]hat Hpsi=Epsi[/math]
  3. [math]hat Hpsi^2=E/psi[/math]
  4. None of the above
9. 
The Heisenberg Uncertainty Principle, which is used to determine uncertainties in position and in momentum, is significant for macroscopic objects.
  1. True
  2. False
10. 
Name one limitation of wave functions and probability maps.










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