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. $\Delta$ E $\Delta$ t $\ge$ h/4 $\pi$ .Suppose an unstable mass is produced during a high-energy collision such that the uncertainty in its mass is me/100.(me = 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