Uncertainty Principle Using ΔEΔt ≥ ħ: the Lifetime of an Excited

Multiple Choice

Uncertainty principle using ΔEΔt ≥ ħ: The lifetime of an excited nuclear state is 1.0 ns. What is the minimum uncertainty in the energy of this state? (ħ = 1.055 × 10^-34 J ∙ s = 6.591 × 10^-16 eV ∙ s, 1 eV = 1.60 × 10^-19 J)

A) 1.0 × 10^{-9 eV}
B) 1.0 × 10^{-25 eV}
C) 6.6 × 10^{-25 eV}
D) 3.3 × 10^{-7 eV}
E) 6.6 × 10^{-7 eV}