An electron that is not localized in space is described by the wave function Ψ = A sin kx - ωt). The kinetic energy of the electron is 10 keV. The value of ω is approximately A) 1.5 × 10¹⁹ s^-1. B) 3.0 × 10¹⁹ s^-1. C) 4.5 × 10¹⁹ s^-1. D) 1.5 × 10²¹ s^-1. E) 3.0 × 10²¹ s^-1.

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Quizplus · Accepted Answer

The kinetic energy (KE) of an electron is related to its angular frequency (ω) by the relation KE = ħω, where ħ is the reduced Planck's constant. Given KE = 10 keV, converting to joules and using ħ = 1.0545718 × 10^-34 J·s, we find ω ≈ 1.5 × 10^19 s^-1.

An Electron That Is Not Localized in Space Is Described