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

Uncertainty principle using ΔEΔt ≥ ħ: 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) 1.32 × 10^{-15 s}
B) 8.28 × 10^{-15 s}
C) 1.32 × 10^{-11 s}
D) 8.28 × 10^{-11 s}
E) 1.32 × 10^{-8 s}