Because the Factor H on the Right Side of the Heisenberg

Multiple Choice

Because the factor h on the right side of the Heisenberg uncertainty principle has units of Joule-seconds, it suggests that the energy of a system also has uncertainty. The uncertainty in energy depends on the length of the time interval during which a system exists. ΔEΔt ≥ h/4π. Suppose an unstable mass is produced during a high-energy collision such that the uncertainty in its mass is m_e/100. (m_e = 9.11 × 10−³¹ kg.) How long will this particle exist?

A) 6.4 × 10−²⁰ s
B) 2.3 × 10−²³ s
C) 1.0 × 10¹⁵ s
D) 1.2 × 10¹³ s
E) 8.1 × 10−¹⁹ s