Uncertainty Principle Using ΔEΔt ≥ ħ/2: the Energy of an Electron

Multiple Choice

Uncertainty principle using ΔEΔt ≥ ħ/2: The energy of an electron state has an uncertainty of 0.500 eV. What is the minimum uncertainty in the lifetime of the level? (ħ = 1.055 × 10^-34 J ∙ s = 6.591 × 10^-16 eV ∙ s, 1 eV = 1.60 × 10^-19 J)

A) 6.59 × 10^-16 s
B) 4.14 × 10^-15 s
C) 6.59 × 10^-12 s
D) 4.14 × 10^-11 s
E) 6.59 × 10^-9 s