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An Electron Is Confined in a Harmonic Oscillator Potential Well

Question 1

Multiple Choice

An electron is confined in a harmonic oscillator potential well. A photon is emitted when the electron undergoes a 3→1 quantum jump. What is the wavelength of the emission if the net force on the electron behaves as though it has a spring constant of 9.6 N/m? (mel = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J, An electron is confined in a harmonic oscillator potential well. A photon is emitted when the electron undergoes a 3→1 quantum jump. What is the wavelength of the emission if the net force on the electron behaves as though it has a spring constant of 9.6 N/m? (<sup>m</sup>el = 9.11 × 10<sup>-31 </sup>kg, c = 3.00 × 10<sup>8</sup> m/s, 1 eV = 1.60 × 10<sup>-19 </sup>J,   = 1.055 × 10<sup>-34</sup> J ∙ s, h = 6.626 × 10<sup>-34</sup> J ∙ s)  A)  290 nm B)  150 nm C)  190 nm D)  580 nm = 1.055 × 10-34 J ∙ s, h = 6.626 × 10-34 J ∙ s)


A) 290 nm
B) 150 nm
C) 190 nm
D) 580 nm

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