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A relatively long-lived excited state of an atom has a lifetime of 3.00 ms. What is the minimum uncertainty in its energy?
$1.10 \times 10^{-13} \mathrm{eV}$
Physics 103
Chapter 29
Introduction to Quantum Physics
Quantum Physics
Cornell University
Simon Fraser University
Hope College
University of Sheffield
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So in this problem, we know that the lifetime of the excited states as my time, um, so that a t equal three microseconds So that equal three times 10 to the negative third seconds. And according to the Heisenberg Uncertainty Law, we know that it led out of tea is greater or equal to H over full pie. All right, so, uh, here we will use the equal case. So we get the uncertainty off the energy equal hd by by four pi times that a t. So this gives you one point 76 times 10 to the negative, 30 to Joe's. All right.
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