The Energy Released When an Unstable Electron State Decays Has $0.50 \mathrm { eV }$

Multiple Choice

The energy released when an unstable electron state decays has an uncertainty of about $0.50 \mathrm { eV }$ . What is the uncertainty in the life-time of the level? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \mathrm {~J} \right.$ )

A) $8.3 \times 10 ^ { - 15 } \mathrm {~s}$
B) $1.3 \times 10 ^ { - 11 } \mathrm {~s}$
C) $8.3 \times 10 ^ { - 11 } \mathrm {~s}$
D) $1.3 \times 10 ^ { - 15 } \mathrm {~s}$