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 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