Consider an electron with energy E trapped in a finite square well that has V = 0 in the region -

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Consider an electron with energy E trapped in a finite square well that has V = 0 in the region
-< x < 5, and V = Vo everywhere else.
Question 5:
For what range of values of Vo will the well have exactly five energy eigenstates?
27 h?
a)
mL?
9n h?
< Vo <
2mL2
97?h?
b)
2mL²
872h?
< Vo <
872h?
c)
mL?
257²h?
< Vo <
2mL?
2572h?
d)
2m L?
187 h?
< Vo <
mL2
Question 6:
To five significant figures, what is the lowest possible energy eigenvalue for an electron in a finite
square well of width 20Å and depth leV?
a)
0.0037529 eV.
b)
0.065568 eV.
c)
0.082419 eV.
d) 0.11093 eV.
Transcribed Image Text:Consider an electron with energy E trapped in a finite square well that has V = 0 in the region -< x < 5, and V = Vo everywhere else. Question 5: For what range of values of Vo will the well have exactly five energy eigenstates? 27 h? a) mL? 9n h? < Vo < 2mL2 97?h? b) 2mL² 872h? < Vo < 872h? c) mL? 257²h? < Vo < 2mL? 2572h? d) 2m L? 187 h? < Vo < mL2 Question 6: To five significant figures, what is the lowest possible energy eigenvalue for an electron in a finite square well of width 20Å and depth leV? a) 0.0037529 eV. b) 0.065568 eV. c) 0.082419 eV. d) 0.11093 eV.
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