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**1. The problem statement, all variables and given/known data**

What is the uncertainty in the life time of an electron and positron produced in a vacuum?

**2. Relevant equations**

[tex]\Delta E\Delta t=\frac{\hbar}{2}[/tex]

**3. The attempt at a solution**

[tex]\Delta E\approx1.6\times10^{-13}J[/tex]

[tex]\Delta t\geq\frac{\hbar}{2\Delta E}\approx 3ps[/tex]

(edited for Tex)

This is the solution my professor had to this problem in his notes, but I am quite sure that the final answer of 3ps is a typo. I believe that Delta t is more like 3 x 10^-22 s. Can anyone clear this up for me?

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