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Particle in a Box: an Electron Is Bound in an Infinite

Question 34

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Particle in a box: An electron is bound in an infinite square-well potential (a box) on the x-axis. The width of the well is L and the well extends from x = 0.00 nm to Particle in a box: An electron is bound in an infinite square-well potential (a box) on the x-axis. The width of the well is L and the well extends from x = 0.00 nm to In its present state, the normalized wave function of the electron is given by: ψ(x) =<sub> </sub> <sub> </sub> sin (2πx/L) . What is the energy of the electron in this state? (h = 6.626 × 10<sup>-34</sup> J ∙ s, m<sub>el</sub> = 9.11 × 10<sup>-31</sup> kg, 1 eV = 1.60 × 10<sup>-19</sup><sup> J</sup>) A) 0.10 eV B) 0.052 eV C) 0.13 eV D) 0.078 eV E) 0.026 eV In its present state, the normalized wave function of the electron is given by: ψ(x) =
Particle in a box: An electron is bound in an infinite square-well potential (a box) on the x-axis. The width of the well is L and the well extends from x = 0.00 nm to In its present state, the normalized wave function of the electron is given by: ψ(x) =<sub> </sub> <sub> </sub> sin (2πx/L) . What is the energy of the electron in this state? (h = 6.626 × 10<sup>-34</sup> J ∙ s, m<sub>el</sub> = 9.11 × 10<sup>-31</sup> kg, 1 eV = 1.60 × 10<sup>-19</sup><sup> J</sup>) A) 0.10 eV B) 0.052 eV C) 0.13 eV D) 0.078 eV E) 0.026 eV sin (2πx/L) . What is the energy of the electron in this state? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19 J)


A) 0.10 eV
B) 0.052 eV
C) 0.13 eV
D) 0.078 eV
E) 0.026 eV

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