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