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. DEDt ³ h/4p. 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 × 10^15 s
d. 1.2 × 10^13 s
e. 8.1 × 10^-19 s
A
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