Uncertainty Principle Using ΔPΔx ≥ ħ/2: a Nonrelativistic Electron Is

Multiple Choice

Uncertainty principle using ΔpΔx ≥ ħ/2: A nonrelativistic electron is confined to a length of 500 pm on the x-axis. What is the kinetic energy of the electron if its speed is equal to the minimum uncertainty possible in its speed? (ħ = 1.055 × 10^-34 J ∙ s, m_el = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J)

A) 0.00038 eV
B) 0.0038 eV
C) 0.038 eV
D) 0.38 eV
E) 3.8 eV